Tootfinder

A class of charged and charged-Taub-NUT metrics in the presence of a massless scalar field and some of their astrophysical aspects
Fatemeh Sadeghi, Behrouz Mirza, Marzieh Moradzadeh
https://arxiv.org/abs/2506.09922

A class of charged and charged-Taub-NUT metrics in the presence of a massless scalar field and some of their astrophysical aspects
We consider a class of exact solutions to the Einstein equations in the presence of a scalar field, recently introduced in [arXiv:2307.09328, arXiv:2307.13588], and derive their generalized form with dyonic charges using Harrison transformations. For specific parameter values, this class of metrics includes the charged Fisher Janis Newman Winicour (FJNW) and gamma metrics. We then investigate the motion of neutral particles in the background of these metrics and derive the corresponding effecti…

Join Adrien Grand and Luca Cavanna at this year's Berlin Buzzwords as they share the fascinating journey to the release of version 10.0 of the popular Java search engine Apache Lucene, discussing the ups and downs, the team effort it took to get there, and much more.
Learn more: https://

What Exactly Does Guidance Do in Masked Discrete Diffusion Models
He Ye, Rojas Kevin, Tao Molei
https://arxiv.org/abs/2506.10971 https://

What Exactly Does Guidance Do in Masked Discrete Diffusion Models
We study masked discrete diffusion models with classifier-free guidance (CFG). Assuming no score error nor discretization error, we derive an explicit solution to the guided reverse dynamics, so that how guidance influences the sampling behavior can be precisely characterized. When the full data distribution is a mixture over classes and the goal is to sample from a specific class, guidance amplifies class-specific regions while suppresses regions shared with other classes. This effect depends …

Uncertainty relations for unified ($\alpha$,$\beta$)-relative entropy of coherence under mutually unbiased equiangular tight frames
Baolong Cheng, Zhaoqi Wu
https://arxiv.org/abs/2506.09779

Uncertainty relations for unified ($α$,$β$)-relative entropy of coherence under mutually unbiased equiangular tight frames
Uncertainty relations based on quantum coherence is an important problem in quantum information science. We discuss uncertainty relations for averaged unified ($α$,$β$)-relative entropy of coherence under mutually unbiased equiangular tight frames, and derive an interesting result for different parameters. As consequences, we obtain corresponding results under mutually unbiased bases, equiangular tight frames or based on Tsallis $α$- relative entropies and Rényi-$α$ relative entropies. We …

Bootstrapping Gravity with Crossing Symmetric Dispersion Relations
Celina Pasiecznik
https://arxiv.org/abs/2506.09884 https://arxiv.o…

Bootstrapping Gravity with Crossing Symmetric Dispersion Relations
We derive bounds on Wilson coefficients in gravitational effective field theories using fully crossing symmetric dispersion relations. These sum rules naturally isolate finite subsets of low-energy couplings without relying on the forward limit or specific high-energy completions. We validate our method by matching bounds computed previously for scalar scattering with gravity as well as for supergraviton scattering. For graviton scattering we use crossing symmetric functions that combine variou…

Epass: Efficient and Privacy-Preserving Asynchronous Payment on Blockchain
Weijie Wang, Jinwen Liang, Chuan Zhang, Ximeng Liu, Liehuang Zhu, Song Guo
https://arxiv.org/abs/2506.09387

Epass: Efficient and Privacy-Preserving Asynchronous Payment on Blockchain
Buy Now Pay Later (BNPL) is a rapidly proliferating e-commerce model, offering consumers to get the product immediately and defer payments. Meanwhile, emerging blockchain technologies endow BNPL platforms with digital currency transactions, allowing BNPL platforms to integrate with digital wallets. However, the transparency of transactions causes critical privacy concerns because malicious participants may derive consumers' financial statuses from on-chain asynchronous payments. Furthermore, th…

Precision $e^ e^-$ Hemisphere Masses in the Dijet Region with Power Corrections
Andre H. Hoang, Vicent Mateu, Matthew D. Schwartz, Iain W. Stewart
https://arxiv.org/abs/2506.09130

Precision $e^+e^-$ Hemisphere Masses in the Dijet Region with Power Corrections
We derive high-precision results for the $e^+e^-$ heavy jet mass (HJM) $d σ/d ρ$ and dihemisphere mass (DHM) $d^2σ/(d s_1 d s_2)$ distributions, for $s_1\sim s_2$, in the dijet region. New results include: i) the N$^3$LL resummation for HJM of large logarithms $\ln^n(ρ)$ at small $ρ$ including the exact two-loop non-global hemisphere soft function, the 4-loop cusp anomalous dimension and the 3-loop hard and jet functions, ii) N$^3$LL results for DHM with resummation of logarithms $\ln(s_{1…

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials
Harini Desiraju, Sampad Lahiry
https://arxiv.org/abs/2506.09582

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials
In recent years, there has been significant progress in the theory of orthogonal polynomials on algebraic curves, particularly on genus 1 surfaces. In this paper, we focus on elliptic orthogonal polynomials and establish several of their fundamental properties. In particular, we derive general five-term and seven-term recurrence relations, which lead to a Christoffel-Darboux formula and the construction of an associated point process on the A-cycle of the torus. Notably, the recurrence coeffici…

Matrix best approximation in the spectral norm
Vance Faber, J\"org Liesen, Petr Tich\'y
https://arxiv.org/abs/2506.09687 https://

Matrix best approximation in the spectral norm
We derive, similar to Lau and Riha, a matrix formulation of a general best approximation theorem of Singer for the special case of spectral approximations of a given matrix from a given subspace. Using our matrix formulation we describe the relation of the spectral approximation problem to semidefinite programming, and we present a simple MATLAB code to solve the problem numerically. We then obtain geometric characterizations of spectral approximations that are based on the $k$-dimensional fiel…

Transient performance of MPC for tracking without terminal constraints
Nadine Ehmann, Matthias K\"ohler, Frank Allg\"ower
https://arxiv.org/abs/2506.10589

Transient performance of MPC for tracking without terminal constraints
Model predictive control (MPC) for tracking is a recently introduced approach, which extends standard MPC formulations by incorporating an artificial reference as an additional optimization variable, in order to track external and potentially time-varying references. In this work, we analyze the performance of such an MPC for tracking scheme without a terminal cost and terminal constraints. We derive a transient performance estimate, i.e. a bound on the closed-loop performance over an arbitrary…

k-Planar and Fan-Crossing Drawings and Transductions of Planar Graphs
Petr Hlin\v{e}n\'y, Jan Jedelsk\'y
https://arxiv.org/abs/2506.08585 https://

k-Planar and Fan-Crossing Drawings and Transductions of Planar Graphs
We introduce a two-way connection between FO transductions (logical transformations) of planar graphs, and a certain variant of fan-crossing (fan-planar) drawings of graphs which for bounded-degree graphs essentially reduces to being k-planar for fixed k. For graph classes, this connection allows to derive non-transducibility results from nonexistence of the said drawings and, conversely, from nonexistence of a transduction to derive nonexistence of the said drawings. For example, the class of …

Ideals generated by corner-interval minors
Marie Amalore Nambi
https://arxiv.org/abs/2506.09618 https://arxiv.org/pdf/2506.09618

Ideals generated by corner-interval minors
In this article, we study binomial ideals generated by an arbitrary collection of corner-interval $2$-minors of a generic matrix. We determine the minimal prime ideals of such ideals and characterize their radicality in the special case of corner minors. Moreover, we discuss connectivity properties of contingency tables in algebraic statistics. We compute the Hilbert-Poincaré polynomial of the ideal generated by the set of all corner-interval minors and we derive the formula for the regularity…

A Metric Framework for Triangle Inequalities via Barycentric Coordinates
Xi Feng
https://arxiv.org/abs/2506.10050 https://arxiv.org/p…

A Metric Framework for Triangle Inequalities via Barycentric Coordinates
This paper presents a unified metric-based framework for triangle geometric inequalities using barycentric coordinates. By interpreting classical inequalities as squared distances between points(a process termed metricization)we derive and refine numerous well-known inequalities. Furthermore, the squared-distance function ELD_I, measures distances from the incenter to points on the Euler line, also yielding generalized inequalities. The method offers geometric clarity and extends naturally to h…

Asymptotic behaviors of fractional binomial distributions derived from the generalized binomial theorem
Masanori Hino, Ryuya Namba
https://arxiv.org/abs/2506.10438

Asymptotic behaviors of fractional binomial distributions derived from the generalized binomial theorem
A fractional binomial distribution, introduced by Hino and Namba (2024) via the generalized binomial theorem, is a fractional variant of the classical binomial distribution. Building upon previous work that established limit theorems, such as the weak law of large numbers and the central limit theorem, for fractional binomial distributions, this paper further investigates their asymptotic behaviors. Specifically, we derive the large and moderate deviation principles and a Berry--Esseen type est…

Semi-supervised Community Detection using Glauber Dynamics for an Ising Model
Konstantin Avrachenkov, Diego Goldsztajn
https://arxiv.org/abs/2506.09223 htt…

Semi-supervised Community Detection using Glauber Dynamics for an Ising Model
We consider graphs with two communities and analyze an algorithm for learning the community labels when the edges of the graph and only a small fraction of the labels are known in advance. The algorithm is based on the Glauber dynamics for an Ising model where the energy function includes a quadratic penalty on the magnetization. The analysis focuses on graphs sampled from a Stochastic Block Model (SBM) with slowly growing mean degree. We derive a mean-field limit for the magnetization of each …

Join Adrien Grand and Luca Cavanna at this year's Berlin Buzzwords as they share the fascinating journey to the release of version 10.0 of the popular Java search engine Apache Lucene, discussing the ups and downs, the team effort it took to get there, and much more.
Learn more: https://

Hermitian Maps: Approximations and Completely Positive Extensions
Mohsen Kian, Mohsen Rostamian Delavar
https://arxiv.org/abs/2506.09631 https://

Hermitian Maps: Approximations and Completely Positive Extensions
This study investigates Hermitian linear maps, focusing on their decomposition into completely positive (CP) maps and their extensions to CP maps using auxiliary spaces. We derive a precise lower bound on the Hilbert-Schmidt norm of the negative component in any CP decomposition, proving its attainability through the Jordan decomposition. Additionally, we demonstrate that the positive part of this decomposition provides the optimal CP approximation in the Hilbert-Schmidt norm. We also determine…

Coherence monotones of quantum channels based on two generalized quantum relative entropies
Jiaorui Fan, Zhaoqi Wu, Shao-Ming Fei
https://arxiv.org/abs/2506.10810

Coherence monotones of quantum channels based on two generalized quantum relative entropies
By using the Choi-Jamiołkowski isomorphism, we propose two classes of coherence monotones of quantum channels based on the unified $(r,s)$-relative entropy and the sandwiched Rényi relative entropy. Elegant properties of the coherence monotones for quantum channels are explored. Moreover, we present the upper bounds of the coherence monotones and derive the explicit formulas of the coherence monotones for qubit unitary channels.

Demystifying Spectral Feature Learning for Instrumental Variable Regression
Dimitri Meunier, Antoine Moulin, Jakub Wornbard, Vladimir R. Kostic, Arthur Gretton
https://arxiv.org/abs/2506.10899

Demystifying Spectral Feature Learning for Instrumental Variable Regression
We address the problem of causal effect estimation in the presence of hidden confounders, using nonparametric instrumental variable (IV) regression. A leading strategy employs spectral features - that is, learned features spanning the top eigensubspaces of the operator linking treatments to instruments. We derive a generalization error bound for a two-stage least squares estimator based on spectral features, and gain insights into the method's performance and failure modes. We show that perform…

The Levine--Weinberger and Friedlander--Filonov inequalities for some classes of elliptic operators
T. Schmatzler
https://arxiv.org/abs/2506.09468 https://…

The Levine--Weinberger and Friedlander--Filonov inequalities for some classes of elliptic operators
We consider the eigenvalue problem for certain classes of elliptic operators, namely inhomogeneous membrane operators $ L = \tfrac{1}{ ρ} ( -Δ+ V ) $ and divergence form operators $ L = -\operatorname{div} A \nabla $, on bounded domains. For these operators, we prove ordering inequalities between the Dirichlet and the Neumann eigenvalues, generalizing results of Levine--Weinberger and Friedlander--Filonov for the Laplacian. We take inspiration from their proofs and derive sufficient condition…

Hollow-grams: Generalized Entanglement Wedges from the Gravitational Path Integral
Sami Kaya, Pratik Rath, Kyle Ritchie
https://arxiv.org/abs/2506.10064 ht…

Hollow-grams: Generalized Entanglement Wedges from the Gravitational Path Integral
Recently, Bousso and Penington (BP) made a proposal for the entanglement wedge associated to a gravitating bulk region. In this paper, we derive this proposal in time-reflection symmetric settings using the gravitational path integral. To do this, we exploit the connection between random tensor networks (RTNs) and fixed-geometry states in gravity. We define the entropy of a bulk region in an RTN by removing tensors in that region and computing the entropy of the open legs thus generated in the …

Transforming the Erd\H{o}s-Kac theorem
Kimihiro Noguchi
https://arxiv.org/abs/2506.08503 https://arxiv.org/pdf/2506.08503

Transforming the Erdős-Kac theorem
Transforming the Erdős-Kac theorem provides more flexibility in how the theorem can be utilized as an interval estimate for the prime omega function, which counts the number of distinct prime divisors. Here, we consider a direct transformation by the delta method. Then, we demonstrate that the square-root and three-quarters power asymptotically achieve variance stabilization and an optimal width, respectively. Furthermore, by adjusting the denominator of the theorem, we derive the score interv…

Reed-Muller Codes for Quantum Pauli and Multiple Access Channels
Dina Abdelhadi, Colin Sandon, Emmanuel Abbe, Ruediger Urbanke
https://arxiv.org/abs/2506.08651

Reed-Muller Codes for Quantum Pauli and Multiple Access Channels
Reed-Muller (RM) codes have undergone significant analytical advancements over the past decade, particularly for binary memoryless symmetric (BMS) channels. We extend the scope of RM codes development and analysis to multiple-access channels (MACs) and quantum Pauli channels, leveraging a unified approach. Specifically, we first derive the achievable rate region for RM codes on so-called Q-MACs, a class of MACs with additive correlated noise. This is achieved via a generalization of the bending…

Stochastic Krasnosel skii-Mann Iterations in Banach Spaces with Bregman Distances
Saeed Hashemi Sababe, Ehsan Lotfali Ghasab
https://arxiv.org/abs/2506.08031

Stochastic Krasnosel skii-Mann Iterations in Banach Spaces with Bregman Distances
We propose a generalization of the stochastic Krasnoselskil-Mann $(SKM)$ algorithm to reflexive Banach spaces endowed with Bregman distances. Under standard martingale-difference noise assumptions in the dual space and mild conditions on the distance-generating function, we establish almost-sure convergence to a fixed point and derive non-asymptotic residual bounds that depend on the uniform convexity modulus of the generating function. Extensions to adaptive Bregman geometries and robust noise…

This https://arxiv.org/abs/2506.03100 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLG_…

Retrieval-Augmented Generation as Noisy In-Context Learning: A Unified Theory and Risk Bounds
Retrieval-augmented generation (RAG) has seen many empirical successes in recent years by aiding the LLM with external knowledge. However, its theoretical aspect has remained mostly unexplored. In this paper, we propose the first finite-sample generalization bound for RAG in in-context linear regression and derive an exact bias-variance tradeoff. Our framework views the retrieved texts as query-dependent noisy in-context examples and recovers the classical in-context learning (ICL) and standard…

Studies on the $\pi^ p$ elastic scattering via the von Neumann entropy
Seung-il Nam
https://arxiv.org/abs/2506.10672 https://arxiv.o…

Studies on the $π^+ p$ elastic scattering via the von Neumann entropy
We study the $π^+ p$ elastic scattering process using an effective Lagrangian approach that incorporates the $s$-, $u$-, and $t$-channel amplitudes, including $Δ^{++,0}(1232)$, neutron, and $ρ^0$ contributions. By constructing the spin-density matrices (SDMs) from helicity amplitudes, we derive the von Neumann (entanglement) entropy associated with the spin degrees of freedom of the initial and final state particles. We compute the entropy by performing a partial trace over the spin subsyste…

The VMC Survey -- LIV. Anomalous Cepheids in the Magellanic Clouds Period-Luminosity relations in the near-infrared bands
Teresa Sicignano, Vincenzo Ripepi, Marina Rejkuba, Martino Romaniello, Marcella Marconi, Roberto Molinaro, Anupam Bhardwaj, Giulia De Somma, Maria-Rosa Cioni, Felice Cusano, Gisella Clementini, Richard de Grijs, Valentin Ivanov, Jesper Storm, Martin Groenewegen

The VMC Survey -- LIV. Anomalous Cepheids in the Magellanic Clouds Period-Luminosity relations in the near-infrared bands
Anomalous Cepheids (ACs) are less studied metal-poor pulsating stars ([Fe/H]<-1.5) compared to Classical Cepheids (CCs) and RR Lyrae stars. They follow distinct Period-Luminosity (PL) and Period-Wesenheit (PW) relations and pulsate in either the fundamental (F) or first overtone (1O) mode. Our goal is to assess the precision and accuracy of AC-based distances and evaluate their potential for establishing an independent distance scale. We derive new PL and PW relations for F-mode, 1O-mode, and, …

Optimal hedging of an informed broker facing many traders
Philippe Bergault, Pierre Cardaliaguet, Wenbin Yan
https://arxiv.org/abs/2506.08992 https://

Optimal hedging of an informed broker facing many traders
This paper investigates the optimal hedging strategies of an informed broker interacting with multiple traders in a financial market. We develop a theoretical framework in which the broker, possessing exclusive information about the drift of the asset's price, engages with traders whose trading activities impact the market price. Using a mean-field game approach, we derive the equilibrium strategies for both the broker and the traders, illustrating the intricate dynamics of their interactions. …

Nonequilibrium fluctuation-response relations for state-current correlations
Krzysztof Ptaszynski, Timur Aslyamov, Massimiliano Esposito
https://arxiv.org/abs/2506.08877

Nonequilibrium fluctuation-response relations for state-current correlations
Recently, novel exact identities known as Fluctuation-Response Relations (FRRs) have been derived for nonequilibrium steady states of Markov jump processes. These identities link the fluctuations of state or current observables to a combination of responses of these observables to perturbations of transition rates. Here, we complement these results by deriving analogous FRRs applicable to mixed covariances of one state and one current observable. We further derive novel Inverse FRRs expressing …

Certification of quantum networks using the generalised Choi isomorphism
Sophie Egelhaaf, Roope Uola
https://arxiv.org/abs/2506.10725 https://

Certification of quantum networks using the generalised Choi isomorphism
We present a framework for certifying entanglement properties of quantum states and measurements in line networks. The framework is based on the generalised Choi isomorphism, which can be used to map bipartite states and measurements into corresponding quantum operations. We apply the method to networks with trusted end points to demonstrate the power of the approach. We derive bounds for common convex geometric entanglement quantifiers of individual source states, as well as for the network as…

New Polynomial Identities and Some Consequences
Kunle Adegoke
https://arxiv.org/abs/2506.06617 https://arxiv.org/pdf/2506.06617

New Polynomial Identities and Some Consequences
Using an elementary approach involving the Euler Beta function and the binomial theorem, we derive two polynomial identities; one of which is a generalization of a known polynomial identity. Two well-known combinatorial identities, namely Frisch's identity and Klamkin's identity, appear as immediate consequences of the polynomial identities. We subsequently establish several combinatorial identities, including a generalization of each of Frisch's identity and Klamkin's identity. Finally, we dev…

IRAS 16475-4609: A Young Compact HII Region Sculpting Its Molecular Environment
Felipe Navarete, Sean D. Points, Augusto Damineli
https://arxiv.org/abs/2506.08180

IRAS 16475-4609: A Young Compact HII Region Sculpting Its Molecular Environment
We present a near-infrared spectroscopic and imaging analysis of the star-forming region IRAS 16475-4609, based on TripleSpec/SOAR spectroscopy and NEWFIRM/CTIO imaging, complemented by archival radio and sub-millimeter data. Our spectroscopic analysis indicates that the central source is an early B-type star (B0-B0.7V) powering a compact HII region characterized by strong HI and HeI recombination lines, and molecular H$_2$ emission. We derive a distance of 3.51$\pm$0.74 kpc, consistent with th…

Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module
Vsevolod Chestnov, Wojciech Flieger, Pierpaolo Mastrolia, Saiei-Jaeyeong Matsubara-Heo, Nobuki Takayama, William J. Torres Bobadilla
https://arxiv.org/abs/2506.10456

Differential Space of Feynman Integrals: Annihilators and $\mathcal{D}$-module
We present a novel algorithm for constructing differential operators with respect to external variables that annihilate Feynman-like integrals and give rise to the associated $\mathcal{D}$-modules, based on Griffiths-Dwork reduction. By leveraging the Macaulay matrix method, we derive corresponding relations among partial differential operators, including systems of Pfaffian equations and Picard-Fuchs operators. Our computational approach is applicable to twisted period integrals in projective …

Wave-function microscopy: Derivation and anatomy of exact algebraic spinful wave functions and full Wigner-molecular spectra of a few highly correlated rapidly rotating ultracold fermionic atoms
Constantine Yannouleas, Uzi Landman
https://arxiv.org/abs/2506.08145

Wave-function microscopy: Derivation and anatomy of exact algebraic spinful wave functions and full Wigner-molecular spectra of a few highly correlated rapidly rotating ultracold fermionic atoms
Exploring strongly correlated spinful states of few fermionic ultracold atoms in a rapidly rotating trap, an example of which was recently realized for two fermionic $^6$Li atoms in an optical tweezer, we derive analytical (algebraic) total-spin-eigenstate wavefunctions through the development and employment of a theoretical platform that integrates exact numerical diagonalization (full configuration interaction, FCI) with symbolic language processing. For such rapid rotations, where the atoms …

Smile asymptotic for Bachelier Implied Volatility
Roberto Baviera, Michele Domenico Massaria
https://arxiv.org/abs/2506.08067 https://

Smile asymptotic for Bachelier Implied Volatility
We investigate the asymptotic behaviour of the Implied Volatility in the Bachelier setting, extending the framework introduced by Benaim and Friz for the Black-Scholes setting. Exploiting the theory of regular variation, we derive explicit expressions for the Bachelier Implied Volatility in the wings of the smile, linking these to the tail behaviour of the underlying's returns' distribution. Furthermore, we establish a direct connection between the analyticity strip of the returns' characterist…

Energy partition in magnetohydrodynamic turbulence
Xing Wei
https://arxiv.org/abs/2506.06611 https://arxiv.org/pdf/2506.06611

Energy partition in magnetohydrodynamic turbulence
We use a simple and straightforward method to derive the energy partition in magnetohydrodynamics (MHD) turbulence that was first studied by Lee and then more rigorously by Chandrasekhar. By investigating the energy equation we find that the turbulent viscous and ohmic dissipations are comparable to each other. Under the condition that turbulent viscosity and turbulent magnetic diffusivity are comparable, we deduce that the ratio of kinetic to magnetic energies depends on the ratio of the turbu…

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs
M. J. Capi\'nski, M. Gr\"oger, A. Passeggi, F. A. Tal
https://arxiv.org/abs/2506.06608

Conditions Implying Annular Chaos: Quantitative results and Computer Assisted Proofs
We derive quantitative sufficient conditions for rotational chaos and diffusion in annular homeomorphisms, building on the topological criteria established in [31]. These conditions depend only on basic properties of the maps, making their implementation straightforward. To demonstrate the effectiveness of the method, we provide computer-assisted proofs of rotational chaos and diffusion for classical families of annular maps and their variations, in both conservative (twist and non-twist) and d…

Black hole/quantum machine learning correspondence
Jae-Weon Lee, Zae Young Kim
https://arxiv.org/abs/2506.09678 https://arxiv.org/pdf…

Black hole/quantum machine learning correspondence
We explore a potential connection between the black hole information paradox and the double descent phenomenon in quantum machine learning. Information retrieval from Hawking radiation can be viewed through the lens of quantum linear regression over black hole microstates, with the Page time corresponding to the interpolation threshold, beyond which test error decreases despite overparameterization. Using the Marchenko-Pastur law, we derive the variance in test error for the quantum linear regr…

This https://arxiv.org/abs/1905.09114 has been replaced.
link: https://scholar.google.com/scholar?q=a

A homogenization bending shell theory for multiscale materials from $3D$ nonlinear elasticity
We derive homogenized bending shell theories starting from three dimensional nonlinear elasticity. The original three dimensional model contains three small parameters: the two homogenization scales $\varepsilon$ and $\varepsilon^2$ of the material properties and the thickness $h$ of the shell. Depending on the asymptotic ratio of these three parameters, we obtain different asymptotic theories.

This https://arxiv.org/abs/2405.12897 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qbi…

From Single Genes to Populations: Quantifying Broken Detailed Balance in Transcription
Are there thermodynamic or information theoretic constraints governing mRNA expression? Here we use the framework of stochastic thermodynamics to assess detailed balance breaking in transcription. For the canonical two-state model of transcription, we derive exact analytic expressions for the entropy production rate of transcription at steady state, expressions that can be evaluated from knowledge of the kinetic parameters of the two-state model. This allows us to easily evaluate the entropy pr…

Beyond Scaling: Chemical Intuition as Emergent Ability of Universal Machine Learning Interatomic Potentials
Shinnosuke Hattori, Kohei Shimamura, Aiichiro Nakano, Rajiv K. Kalia, Priya Vashishta, Ken-ichi Nomura
https://arxiv.org/abs/2506.07579

Beyond Scaling: Chemical Intuition as Emergent Ability of Universal Machine Learning Interatomic Potentials
Machine Learning Interatomic Potentials (MLIPs) have successfully demonstrated scaling behavior, i.e. the power-law improvement in training performance, however the emergence of novel capabilities at scale remains unexplored. We have developed Edge-wise Emergent Decomposition (E3D) framework to investigate how an MLIP develops the ability to derive physically meaningful local representations of chemical bonds without explicit supervision. Employing an E(3)-equivariant network (Allegro) trained …

Stochastic modeling of deterministic laser chaos using generator extended dynamic mode decomposition
Kakutaro Fukushi, Jun Ohkubo
https://arxiv.org/abs/2506.05798

Stochastic modeling of deterministic laser chaos using generator extended dynamic mode decomposition
Recently, chaotic phenomena in laser dynamics have attracted much attention to its applied aspects, and a synchronization phenomenon, leader-laggard relationship, in time-delay coupled lasers has been used in reinforcement learning. In the present paper, we discuss the possibility of capturing the essential stochasticity of the leader-laggard relationship; in nonlinear science, it is known that coarse-graining allows one to derive stochastic models from deterministic systems. We derive stochast…

Optical theorem and generalized energy conservation for scattering of time-modulated waves
Erik Orvehed Hiltunen, John C. Schotland
https://arxiv.org/abs/2506.07789

Optical theorem and generalized energy conservation for scattering of time-modulated waves
We introduce and study a generalized energy conservation relation for scattering of time-modulated waves, where conventional energy conservation does not hold. Based on this relation, we derive an optical theorem and compute the active power describing the power input or output due to scattering. Notably, the same system may be subject to energy gain, energy loss, or energy conservation depending on the frequency harmonics present in the wave field. Moreover, we show how the optical theorem der…

This https://arxiv.org/abs/2410.23784 has been replaced.
initial toot: https://mastoxiv.page/@arXi…

Designed self-assembly of programmable colloidal atom-electron equivalents
To unlock the potential for assembling complex colloidal "molecules", we investigate a minimal binary system of programmable colloidal atom-electron equivalents (PAE-EE), where electron equivalents (EEs) are multivalent linkers with two distinct types of single-stranded DNA (ssDNA) ends complementary to those ssDNAs on binary programmable atom equivalents (PAEs). We derive a statistical mechanical framework for calculating the effective interaction between PAEs mediated by EEs with arbitrary va…

Self-gravitating strings and quantum effects in two-dimensional gravity
Akihiro Ishibashi, Yoshinori Matsuo, Akane Tanaka
https://arxiv.org/abs/2506.09586 …

Self-gravitating strings and quantum effects in two-dimensional gravity
It is expected that when the string coupling is taken to be sufficiently small, a black hole turns into a bound state of self-gravitating fundamental strings. This state would be described by winding strings wrapping around the Euclidean time circle, known as the Horowitz-Polchinski solution. In this paper, we study such a self-gravitating string configuration in two-dimensional dilaton gravity theories. We first derive an analytic expression of the solution describing a winding string in two-d…

This https://arxiv.org/abs/2505.23626 has been replaced.
initial toot: https://mastoxiv.page/@a…

Localized surface plasmons in a Weyl semimetal nanosphere
In this study, we investigate the localized surface plasmon modes of a sub-wavelength spherical nanoparticle composed of a Weyl semimetal, taking into account the axion modification of electrodynamics. We derive analytical solutions for dipole and quadrupole normal modes by employing the quasistatic approximation. The axion term leads to modified Fröhlich conditions, resulting in multiple non-degenerate plasmonic resonances with distinct polarization dependencies. In contrast to isotropic conv…

Degenerate complex Monge-Amp\`ere type equations on compact Hermitian manifolds and applications II
Haoyuan Sun, Zhiwei Wang
https://arxiv.org/abs/2506.07336

Degenerate complex Monge-Ampère type equations on compact Hermitian manifolds and applications II
Let $(X,ω)$ be a compact Hermitian manifold of complex dimension $n$, equipped with a Hermitian metric $ω$. Let $β$ be a possibly non-closed smooth $(1,1)$-form on $X$ such that $\int_Xβ^n>0$. Assume that there is a bounded $β$-plurisubharmonic function $ρ$ on $X$ and $\underline{\mathrm{Vol}}(β) > 0$. In this paper, we establish solutions to the degenerate complex Monge-Ampère equations on $X$ within the Bott-Chern space of $β$ (as introduced by Boucksom-Guedj-Lu) and derive stability…

A Tale of Two Monopolies
Yi-Chun Chen, Zhengqing Gui
https://arxiv.org/abs/2506.06763 https://arxiv.org/pdf/2506.06763

A Tale of Two Monopolies
We apply marginal analysis à la Bulow and Roberts (1989) to characterize the revenue-maximizing selling mechanism for a multiproduct monopoly. Specifically, we derive the revenue change due to a price perturbation on any subset of bundles holding the prices of other bundles fixed. In an optimal mechanism, total revenue must not increase with any small price change for bundles with positive demand, nor with a small price decrease for bundles with zero demand. For any symmetric two-dimensional t…

Compact Biconservative Hypersurfaces in Space Forms: Rigidity Without Scalar Curvature Assumptions
Aykut Kayhan
https://arxiv.org/abs/2506.05875 https://…

Compact Biconservative Hypersurfaces in Space Forms: Rigidity Without Scalar Curvature Assumptions
In this study, we investigate the intrinsic properties of compact biconservative hypersurfaces in space forms. In this framework, we establish rigidity results without imposing the assumption of constant scalar curvature. Furthermore, we present an additional result that does not require any assumptions on the sectional curvature. The key tool in our approach is the introduction of a novel divergence-free tensor, which enables us to derive these results without the usual curvature assumptions.

A discussion on the symmetry of relativistic Vlasov gas and its accretion in Kerr-Newman black hole
Yong-qiang Liu
https://arxiv.org/abs/2506.08341 https:/…

A discussion on the symmetry of relativistic Vlasov gas and its accretion in Kerr-Newman black hole
We investigate the kinetic properties of collisionless Vlasov gas in Kerr-Newman spacetime, focusing on how spacetime symmetries constrain the distribution functions. By establishing the general relationship between distribution functions and constants of motion (mass $m$, energy $E$, angular momentum $L_z$, Carter constant $L$) along with $L$'s conjugate configuration variable $Q^{3}$, we derive the analytical framework for particle dynamics in stationary axisymmetric spacetimes. Within the Lo…

Linear-response theory in Floquet systems
Ayan Pal, Erik G. C. P. van Loon, Ferdi Aryasetiawan
https://arxiv.org/abs/2506.07788 https://

Linear-response theory in Floquet systems
Nonequilibrium quantum physics greatly simplifies in the case of time-periodic Hamiltonians, since Floquet theory provides an analogue to Bloch's theorem in the time domain. Still, the formal properties of Floquet many-body theory remain underexplored. Here, we develop linear response theory for Floquet systems, in the sense that we have a time-periodic potential of arbitrary strength and a perturbatively small but non-periodic probing field. As an application, we derive the analogy of Fermi's …

Asymptotic error distribution for stochastic Runge--Kutta methods of strong order one
Diancong Jin
https://arxiv.org/abs/2506.08937 https://

Asymptotic error distribution for stochastic Runge--Kutta methods of strong order one
This work gives the asymptotic error distribution of the stochastic Runge--Kutta (SRK) method of strong order $1$ applied to Stratonovich-type stochastic differential equations. For dealing with the implicitness introduced in the diffusion term, we provide a framework to derive the asymptotic error distribution of diffusion-implicit or fully implicit numerical methods, which enables us to construct a fully explicit numerical method sharing the same asymptotic error distribution as the SRK metho…

Likely intersections in powers of the multiplicative group
Gabriel Andreas Dill, Francesco Gallinaro
https://arxiv.org/abs/2506.07550 https://

Likely intersections in powers of the multiplicative group
We derive two finiteness properties as consequences of the geometrical non-degeneracy of an algebraic subvariety $W$ of a power of the multiplicative group, concerning the intersections of $W$ with translates of a subtorus $H$ of dimension greater than or equal to the codimension of $W$. The first one is that every translate of $H$ intersects $W$, unless $H$ is contained in one of finitely many proper subtori depending only on $W$. The second one is that every translate of $H$ by a torsion poin…

Teaching special relativity in elementary physics or upper high school courses
Maria Grazia Blumetti, Biagio Buonaura, Giuseppe Giuliani, Marco Litterio
https://arxiv.org/abs/2506.07872

Teaching special relativity in elementary physics or upper high school courses
This paper aims to provide teachers with a tool to teach the essential features of special relativity, considering the students' difficulties highlighted by numerous studies. Our proposal presents special relativity as the solution to the troubles of Newtonian dynamics, exemplified by the infinities of Newtonian uniformly accelerated motion. The paper's main section uses thought experiments with the exchange of flashes of light of null duration between two inertial reference frames to derive th…

Solving Nash Equilibria in Nonlinear Differential Games for Common-Pool Resources
Yongyang Cai, Anastasios Xepapadeas, Aart de Zeeuw
https://arxiv.org/abs/2506.06646

Solving Nash Equilibria in Nonlinear Differential Games for Common-Pool Resources
Many resources are provided by an ecological system that is vulnerable to tipping when exceeding a certain level of pollution, with a sudden big loss of ecosystem services. An ecological system is usually also a common-pool resource and therefore vulnerable to suboptimal use resulting from non-cooperative behavior. An analysis requires methods to derive cooperative and non-cooperative solutions for managing a dynamical system with tipping points. Such a game is a differential game which has two…

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An analytical model for gold nanoparticle radiosensitisation
Pedro Teles
https://arxiv.org/abs/2506.06671 https://arxiv.org/pdf/2506.…

An analytical model for gold nanoparticle radiosensitisation
In this paper, we derive a variance-driven Local-Effect-Model ($σ$-LEM) to predict radiosensitization due to gold nanoparticles (AuNP). Assuming that the number of Au photo-ionisations scales strictly with particle volume $V_{\mathrm{NP}} \propto R^{3}$ and that the cascade energy deposition is log-normally distributed, the enhanced dose in each target voxel can be written as $D_{\text{enh}} = D_{0} \exp(σZ)$ with $Z \sim \mathcal{N}(0,1)$ and width $σ= \sqrt{2 \ln(1 + Kc)}$. By assuming a…

Nicht genügend lobgepreiset werden kann die aktuelle Ausgabe Nro 99 von Dérive. Zeitschrift für Stadtforschung (Print): Nicht nur enthält sie Interviews zum Schwimmen in innerstädtischen Flüssen, sondern auch eine Liebeserklärung von Tomash Schoiswohl an den Matzleinsdorfer Platz! https://derive.at/zeitschrift/99/

Stochastic portfolio theory with price impact
David Itkin
https://arxiv.org/abs/2506.07993 https://arxiv.org/pdf/2506.07993

Stochastic portfolio theory with price impact
We develop a framework for stochastic portfolio theory (SPT), which incorporates modern nonlinear price impact and impact decay models. Our main result derives the celebrated master formula for (additive) functional generation of trading strategies in a general high-dimensional market model with price impact. We also develop formulas for an investor's relative wealth with respect to the market portfolio, conditions that guarantee positive observed market prices and derive a stochastic different…

This https://arxiv.org/abs/2502.21249 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A relax-fix-and-exclude algorithm for an MINLP problem with multilinear interpolations
This paper introduces a novel algorithm for Mixed-Integer Nonlinear Programming (MINLP) problems with multilinear interpolations of look-up tables. These problems arise when objective or constraints contain black-box functions only known at a finite set of evaluations on a predefined grid. We derive a piecewise-linear relaxation for the multilinear constraints resulting from the multilinear interpolations used to approximate the true functions. Supported by the fact that our proposed relaxation…

Energy Efficiency Maximization for Movable Antenna Communication Systems
Jingze Ding, Zijian Zhou, Lipeng Zhu, Yuping Zhao, Bingli Jiao, Rui Zhang
https://arxiv.org/abs/2506.07129

Energy Efficiency Maximization for Movable Antenna Communication Systems
This paper investigates energy efficiency maximization for movable antenna (MA)-aided multi-user uplink communication systems by considering the time delay and energy consumption incurred by practical antenna movement. We first examine the special case with a single user and propose an optimization algorithm based on the one-dimensional (1D) exhaustive search to maximize the user's energy efficiency. Moreover, we derive an upper bound on the energy efficiency and analyze the conditions required…

Whistler Chorus Amplification in the Magnetosphere: A Nonlinear Free-Electron Laser Model Based on the Ginzburg-Landau Equation
Brandon Bonham, Amitava Bhattacharjee
https://arxiv.org/abs/2506.06167

Whistler Chorus Amplification in the Magnetosphere: A Nonlinear Free-Electron Laser Model Based on the Ginzburg-Landau Equation
We present a novel nonlinear model for whistler-mode chorus amplification based on the free-electron laser (FEL) mechanism. First, we derive the nonlinear collective variable equations for the whistler-electron interaction. Consistent with in situ satellite observations, these equations predict that a small seed wave can undergo exponential growth, reaching a peak of a few hundred picoteslas after a few milliseconds, followed by millisecond timescale amplitude modulations. Next, we show that wh…

The Highest-Energy Neutrino Event Constrains Dark Matter-Neutrino Interactions
Toni Bert\'olez-Mart\'inez, Gonzalo Herrera, Pablo Mart\'inez-Mirav\'e, Jorge Terol Calvo
https://arxiv.org/abs/2506.08993

The Highest-Energy Neutrino Event Constrains Dark Matter-Neutrino Interactions
Dark Matter-neutrino interactions affect the propagation of astrophysical neutrinos, attenuating the flux of neutrinos arriving at Earth. Using the highest-energy neutrino event detected to date by the KM3NeT collaboration as an example, and assuming an extragalactic origin, we derive limits on these interactions at $E_ν= 220^{+570}_{-110}\, \mathrm{PeV}$. Considering only the propagation on the Milky Way Dark Matter halo, we constrain the interaction cross section over the mass of the Dark Ma…

The Hesse pencil of plane curves and osculating conics
Ewelina Nawara
https://arxiv.org/abs/2506.04662 https://arxiv.org/pdf/2506.046…

The Hesse pencil of plane curves and osculating conics
In this paper, we revisit the classical problem of determining osculating conics and sextactic points for a given algebraic curve. Our focus is on a particular family of plane cubic curves known as the Hesse pencil. By employing classical tools from projective differential geometry, we derive explicit coordinates for these special points. The resulting formulas not only clarify previous approaches but also lead to the construction of new families of free and nearly free curves, extending recent…

Modeling the Electrostatic Potential of Disks with Arbitrary Radial Charge Profiles
Jose Ricardo de Sousa, Marcio Gomes da Silva, Orion Ciftja
https://arxiv.org/abs/2506.08040

Modeling the Electrostatic Potential of Disks with Arbitrary Radial Charge Profiles
In this work, we present an analytical study of the electrostatic potential generated by a charged disk with a surface charge distribution that possesses radial axial symmetry. We express the potential in cylindrical coordinates and apply a Bessel function representation for the Coulomb kernel to simplify its calculation. We consider a broad family of surface charge densities and derive an exact expression for the potential based on a classical integral identity involving Bessel functions. This…

This https://arxiv.org/abs/2501.03341 has been replaced.
initial toot: https://mastoxiv.page/@…

Dynamic scaling theory for a field quench near the Kasteleyn transition in spin ice
We present a dynamic scaling theory to describe relaxation dynamics following a magnetic-field quench near an unconventional phase transition in the magnetic material spin ice. Starting from a microscopic model, we derive an effective description for the critical dynamics in terms of the seeding and growth of string excitations, and use this to find scaling forms in terms of time, reduced temperature and monopole fugacity. We confirm the predictions of scaling theory using Monte Carlo simulatio…

This https://arxiv.org/abs/2503.14727 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

Beacon-Based Feedback Control for Parking an Active-Joint Center-Articulated Mobile Robot
This paper presents an autonomous parking control strategy for an active-joint center-articulated mobile robot. We first derive a kinematic model of the robot, then propose a control law to stabilize the vehicle's configuration within a small neighborhood of the goal. The control law, designed using Lyapunov techniques, is based on the robot's polar coordinate equations. A beacon-based guidance system provides feedback on the target's position and orientation. Simulations demonstrate the robot'…

Scale-by-scale energy transfers in bubbly flows
Hridey Narula, Vikash Pandey, Dhrubaditya Mitra, Prasad Perlekar
https://arxiv.org/abs/2506.07693 https://

Scale-by-scale energy transfers in bubbly flows
Variable density buoyancy-driven bubbly flows allow for multiple definitions of scale-dependent (or filtered) energy. A priori, it is not obvious which of these provide the most physically apt scale-by-scale budget. In the present study, we compare two such definitions, based on (a) filtered momentum and filtered velocity (Pandey et al., 2020), and (b) Favre filtered energy (Aluie 2013, Pandey et al., 2023). We also derive a Kármán-Howarth-Monin (KHM) relation using the momentum-velocity corr…

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles
Lu Chen, Changjian Liu
https://arxiv.org/abs/2506.07716 https:…

The discontinuous planar piecewise linear system with two nodes has at most two limit cycles
This paper investigates the multiplicity and the number of limit cycles for planar piecewise linear system divided into two regions by a straight line and each linear subsystem has a node. Through constructing Poincare half maps and a successor function, and analyzing the properties of the successor function, we can derive that this system has at most two limit cycles, counting the multiplicities of limit cycles.

This https://arxiv.org/abs/2502.07313 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Critical exponent for the one-dimensional wave equation with a space-dependent scale invariant damping and time derivative nonlinearity
We investigate in this paper the Cauchy problem of the one-dimensional wave equation with space-dependent damping of the form $μ_0(1+x^2)^{-1/2}$, where $μ_0>0$, and time derivative nonlinearity. We establish global existence of mild solutions for small data compactly supported by employing energy estimates within suitable Sobolev spaces of the associated homogeneous problem. Furthermore, we derive a blow-up result under some positive initial data by employing the test function method. …

This https://arxiv.org/abs/2506.06149 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Faint absorption of the ground state hyperfine-splitting transitions of hydroxyl at 18 cm in the Galactic Disk
The interstellar hydride hydroxyl (OH) is a potential tracer of CO-dark molecular gas. We present new absorption line observations of OH at 18-cm wavelength towards four continuum sources. We compare these to the [CII] line at 1.9 THz obtained with SOFIA, observations of the neutral atomic hydrogen 21 cm line with the VLA, and CO lines obtained with APEX. We trace OH over a large range of molecular hydrogen column densities, and derive OH abundances with respect to molecular and total hydrogen …

This https://arxiv.org/abs/2504.10239 has been replaced.
initial toot: https://mastoxiv.page/@arXi…

Elastic displacements and viscous flows in wedge-shaped geometries with a straight edge: Green's functions for perpendicular forces
Edges are abundant when elastic solids glide in guiding rails or fluids are contained in vessels. We here address induced displacements in elastic solids or small-scale flows in viscous fluids in the vicinity of one such edge. For this purpose, we solve the governing elasticity equations for linearly elastic, potentially compressible solids, as well as the low-Reynolds-number flow equations for incompressible fluids. Technically speaking, we derive the associated Green's functions under confine…

On Herz-Bochkarev limiting problem
Erlan Nursultanov, Arash Ghorbanalizadeh, Durvudkhan Suragan
https://arxiv.org/abs/2506.07478 https://

On Herz-Bochkarev limiting problem
This paper studies Hausdorff-Young-type inequalities within the framework of Lorentz spaces $L_{p,q}$. Focusing on the dependence of the associated constants on the integrability parameter $p$, we derive optimal bounds in the limiting case $p\rightarrow 2$, addressing the Herz-Bochkarev problem. The results obtained refine the pioneering estimates in [3] and are comparable to recent advances in [16]. The main ingredients of our approach are new grand Lorentz space techniques.

This https://arxiv.org/abs/2505.13200 has been replaced.
initial toot: https://mastoxiv.page/@a…

Quantum Kinetic Uncertainty Relations in Mesoscopic Conductors at Strong Coupling
Kinetic Uncertainty Relations (KURs) establish quantum transport precision limits by linking signal-to-noise ratio (SNR) to the system's dynamical activity, valid in the weak-coupling regime where particle-like transport dominates. At strong coupling, quantum coherence challenges the validity of KURs and questions the meaning of the concept of activity itself. Here, we introduce a generalized dynamical activity valid at arbitrary coupling and derive a steady-state quantum KUR (QKUR) expressed i…

Passive Detection in Multi-Static ISAC Systems: Performance Analysis and Joint Beamforming Optimization
Renjie He, Yiqiu Wang, Meixia Tao, Shu Sun
https://arxiv.org/abs/2506.07019

Passive Detection in Multi-Static ISAC Systems: Performance Analysis and Joint Beamforming Optimization
This paper investigates the passive detection problem in multi-static integrated sensing and communication (ISAC) systems, where multiple sensing receivers (SRs) jointly detect a target using random unknown communication signals transmitted by a collaborative base station. Unlike traditional active detection, the considered passive detection does not require complete prior knowledge of the transmitted communication signals at each SR. First, we derive a generalized likelihood ratio test detecto…

This https://arxiv.org/abs/2504.19324 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Black hole absorption cross sections: Spin and Regge poles
We investigate the absorption of massless scalar, electromagnetic, and gravitational fields propagating in the Schwarzschild black hole geometry. Using complex angular momentum techniques, we first derive a representation of the absorption cross section that separates it into smooth background integrals and a discrete Regge pole series. This decomposition reveals the physical mechanisms underlying black hole absorption, including classical capture, surface wave interference near the photon sphe…

This https://arxiv.org/abs/2410.07029 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Geometric Floquet theory
We derive Floquet theory from quantum geometry. We identify quasienergy folding as a consequence of a broken gauge group of the adiabatic gauge potential $U(1){\mapsto}\mathbb{Z}$. Fixing instead the gauge freedom using the parallel-transport gauge uniquely decomposes Floquet dynamics into a purely geometric and a purely dynamical evolution. The dynamical average-energy operator provides an unambiguous sorting of the quasienergy spectrum, identifying a Floquet ground state and suggesting a way …

This https://arxiv.org/abs/2505.06158 has been replaced.
initial toot: https://mastoxiv.page/@…

Entanglement dynamics and Page curves in random permutation circuits
The characterization of ensembles of many-qubit random states and their realization via quantum circuits are crucial tasks in quantum-information theory. In this work, we study the ensembles generated by quantum circuits that randomly permute the computational basis, thus acting classically on the corresponding states. We focus on the averaged entanglement and present two main results. First, we derive generically tight upper bounds on the entanglement that can be generated by applying permutat…

This https://arxiv.org/abs/2505.12612 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCR_…

EPSpatial: Achieving Efficient and Private Statistical Analytics of Geospatial Data
Geospatial data statistics involve the aggregation and analysis of location data to derive the distribution of clients within geospatial. The need for privacy protection in geospatial data analysis has become paramount due to concerns over the misuse or unauthorized access of client location information. However, existing private geospatial data statistics mainly rely on privacy computing techniques such as cryptographic tools and differential privacy, which leads to significant overhead and in…

A duality between surface charge and work function in scanning Kelvin probe microscopy
Isaac C. D. Lenton, Felix Pertl, Lubuna Shafeek, Scott R. Waitukaitis
https://arxiv.org/abs/2506.07187

A duality between surface charge and work function in scanning Kelvin probe microscopy
Scanning Kelvin probe microscopy (SKPM) is a powerful technique for macroscopic imaging of the electrostatic potential above a surface. Though most often used to image work-function variations of conductive surfaces, it can also be used to probe the surface charge on insulating surfaces. In both cases, relating the measured potential to the underlying signal is non-trivial. Here, we derive general relationships between the measured SKPM voltage and the underlying source, revealing either can be…

This https://arxiv.org/abs/2506.02450 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Muon (and Lepton) Anomalous Magnetic Moments and Limits on Their Radii
The limits on lepton radii and contact interaction scales are used to derive limits on the deviations of lepton anomalous magnetic dipole moments (g-2)/2 from the Standard Model predictions. In the case of quadratic dependence of the deviations on the lepton mass the limits for electrons are better compared to low energy measurements, for muons somewhat weaker than the latest precision experiments, and for taus by far the best.

Dynamical Phase Transition of Dissipative Fermionic Superfluids
Xin-Yuan Gao, Yangqian Yan
https://arxiv.org/abs/2506.05770 https://a…

Dynamical Phase Transition of Dissipative Fermionic Superfluids
Driven-dissipative open quantum many-body systems exhibit rich phases that are characterized by the steady states in the long-time dynamics. However, lossy open systems inevitably decay to the vacuum, making their transient evolution the primary focus. Assuming the Hartree-Fock-Bogoliubov ansatz, we derive a generalized time-dependent Hartree-Fock-Bogoliubov equation based on the least action principle for open quantum systems. By solving the quench dynamics after abruptly introducing inelastic…

This https://arxiv.org/abs/2506.04599 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Causality and thermodynamics in anisotropic fluids
We propose a thermodynamic formalism, within the particle-frame, for the energy-momentum tensor of irreversible anisotropic imperfect fluids subject to causality. Building on the Israel-Stewart extension of Eckart's theory, we further generalize these formalisms to incorporate anisotropic effects while ensuring the preservation of causality. In this framework, the second law of thermodynamics includes an additional term accounting for the system's anisotropy, which we derive explicitly in close…

The analytic bootstrap at finite temperature
Julien Barrat, Deniz N. Bozkurt, Enrico Marchetto, Alessio Miscioscia, Elli Pomoni
https://arxiv.org/abs/2506.06422

The analytic bootstrap at finite temperature
We propose new universal formulae for thermal two-point functions of scalar operators based on their analytic structure, constructed to manifestly satisfy all the bootstrap conditions. We derive a dispersion relation in the complexified time plane, which fixes the correlator up to an additive constant and theory-dependent dynamical information. At non-zero spatial separation we introduce a formula for the thermal two-point function obtained by summing over images of the dispersion relation resu…

This https://arxiv.org/abs/2410.13634 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Additional first order equation for infinitesimal bendings of smooth surfaces in the isothermal coordinates
The article contributes to the theory of infinitesimal bendings of smooth surfaces in Euclidean 3-space. We derive a linear differential equation of the first order, which previously did not appear in the literature and which is satisfied by any Darboux rotation field of a smooth surface. We show that, for some surfaces, this additional equation is functionally independent of the three standard equations that the Darboux rotation field satisfies (and by which it is determined). As a consequence…

Temperature-Noise Interplay in a Coupled Model of Opinion Dynamics
Anna Chmiel, Julian Sienkiewicz
https://arxiv.org/abs/2506.07680 https://

Temperature-Noise Interplay in a Coupled Model of Opinion Dynamics
We consider a coupled system mimicking opinion formation under the influence of a group of $q$ neighbors ($q$-lobby) that consists of an Ising part governed by temperature-like parameter $T$ and a voter dynamics parameterized by noise probability $p$ (independence of choice). Using rigorous analytical calculations backed by extensive Monte Carlo simulations, we examine the interplay between these two quantities. Based on the theory of phase transitions, we derive the relation between $T$ and $p…

Inequalities for Standard Model Yukawa Couplings
Gero von Gersdorff, Lucas Modesto
https://arxiv.org/abs/2506.06423 https://arxiv.org…

Inequalities for Standard Model Yukawa Couplings
We show that the Standard Model Yukawa matrices satisfy a set of simple yet nontrivial inequalities. The relations we derive are independent of the basis used to define the fermion fields, and, amongst other things, place strong constraints on the alignment of the columns of the up-type and down-type Yukawa matrices, as well as their cofactor matrices. The reason why one can obtain such strong statements can be traced back to the hierarchical nature of the fermion masses and quark mixings. The …

Dynamical mass distribution and velocity structure of the Galactic centre
A. Feldmeier-Krause, T. Ver\v{s}i\v{c}, G. van de Ven, E. Gallego-Cano, N. Neumayer
https://arxiv.org/abs/2506.06014

Dynamical mass distribution and velocity structure of the Galactic centre
The inner ~200 pc region of the Milky Way contains a nuclear stellar disc and a nuclear star cluster that are embedded in the larger Galactic bar. These stellar systems overlap spatially, which makes it challenging to separate stars that belong to the nuclear stellar systems, to deduce their internal dynamics, and to derive the central Galactic potential. Discrete stellar kinematics probe the mass distribution of a stellar system, and chemical tracers such as stellar metallicity can further sep…

Nonsmooth data error estimates for exponential Runge--Kutta methods and applications to split exponential integrators
Qiumei Huang, Alexander Ostermann, Gangfan Zhong
https://arxiv.org/abs/2506.02778

Nonsmooth data error estimates for exponential Runge--Kutta methods and applications to split exponential integrators
We derive error bounds for exponential Runge-Kutta discretizations of parabolic equations with nonsmooth initial data. Our analysis is carried out in a framework of abstract semilinear evolution equations with operators having non-dense domain. In particular, we investigate nonsmooth data error estimates for the Allen-Cahn and the Burgers' equation. As an application, we apply these nonsmooth data error estimates to split exponential integrators and derive a convergence result in terms of the d…

This https://arxiv.org/abs/2408.07352 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Polarization Measurements as a Probe of Axion-Photon Coupling: a Study of GRB 221009A
Axion Like Particles (ALPs) can be produced in Gamma Ray Bursts, altering the polarization of the electromagnetic emission in these events. For the first time, we derive bounds on the axion-photon coupling from polarization measurements of GRB 221009A, performing a full calculation of the Stokes parameters, as it is typically done in the astrophysics community. Within astrophysical uncertainties, our limits on the axion-photon coupling are competitive with complementary probes in the axion mass…

An emergence-oriented approach to cyclic pursuit
Zhaozhan Yao, Yuhua Yao, Xiaoming Hu
https://arxiv.org/abs/2506.05157 https://arxiv.…

An emergence-oriented approach to cyclic pursuit
In this paper, we explore the cyclic pursuit problem of unicycles and study circular formation from an emergence perspective. We first establish a systematic study on such formation and derive a necessary and sufficient condition for its existence. Building on this theoretical foundation, we design a distributed control law that enables the spontaneous formation of circular formations through only local interactions. Notably, key geometric features -- including the radius and agent spacing -- a…

Faint absorption of the ground state hyperfine-splitting transitions of hydroxyl at 18 cm in the Galactic Disk
M. R. Rugel, H. Beuther, J. D. Soler, P. Goldsmith, L. Anderson, A. Hafner, J. Dawson, Y. Wang, S. Bihr, H. Wiesemeyer, R. Guesten, M. -Y. Lee, D. Riquelme. A. M. Jacob, W. -J. Kim, M. Busch, S. Khan, A. Brunthaler
https://

Faint absorption of the ground state hyperfine-splitting transitions of hydroxyl at 18 cm in the Galactic Disk
The interstellar hydride hydroxyl (OH) is a potential tracer of CO-dark molecular gas. We present new absorption line observations of OH at 18-cm wavelength towards four continuum sources. We compare these to the [CII] line at 1.9 THz obtained with SOFIA, observations of the neutral atomic hydrogen 21 cm line with the VLA, and CO lines obtained with APEX. We trace OH over a large range of molecular hydrogen column densities, and derive OH abundances with respect to molecular and total hydrogen …

First Constraint on Axion-Photon Coupling $g_{\gamma}$ from Neutron Star Observations
Jun-Chen Wang, Shunshun Cao, Jinchen Jiang, Yandong Liu, Qing-Hong Cao, Lijing Shao
https://arxiv.org/abs/2506.07546

First Constraint on Axion-Photon Coupling $g_γ$ from Neutron Star Observations
We propose a novel method to detect axions which uniquely depends on the dimensionless axion-photon coupling $g_γ$, independent of the suppressive axion decay constant $f_a$. Using neutron star PSR B1919+21 data from the Five-hundred-meter Aperture Spherical Telescope, we derive the first constraint $|g_γ|<0.93$ at $1σ$ confidence level for ultra-light axions ($m_a < 10^{-11}$ eV).

This https://arxiv.org/abs/2503.13527 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Isospin sum rules for bottom-baryon weak decays
Isospin symmetry, as the most precise flavor symmetry, can be used to extract information about hadronic dynamics. The effective Hamiltonian operators of bottom quark weak decays are zero under a series of isospin lowering operators $I_-^n$, which permits us to generate isospin sum rules without the Wigner-Eckart invariants. In this work, we derive hundreds of isospin sum rules for the two- and three-body non-leptonic decays of bottom baryons. They provide hints for new decay modes and the isos…

This https://arxiv.org/abs/2501.03470 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Positivstellensätze for polynomial matrices with universal quantifiers
This paper investigates Positivstellensätze for polynomial matrices subject to universally quantified polynomial matrix inequality constraints. We first establish a matrix-valued Positivstellensatz under the Archimedean condition, incorporating universal quantifiers. For scalar-valued polynomial objectives, we further develop a sparse Positivstellensatz that leverages correlative sparsity patterns within these quantified constraints. Moving beyond the Archimedean framework, we then derive a se…

This https://arxiv.org/abs/2501.01491 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Gravitational Waves of GUT Phase Transition during Inflation
Grand unified theory (GUT) phase transition is generally considered unobservable due to its ultrahigh energy scale, and the monopole problem associated with GUT phase transition is one motivation of inflation. We propose that if a first-order GUT phase transition happens during inflation, the induced gravitational waves (GWs) are redshifted and deformed, and might be observed today in GW observatories. We review the formalism of inflated GWs and derive the general deformation function between i…

This https://arxiv.org/abs/2502.14578 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

The massive BMS character in 3D quantum gravity
We derive the one-loop partition function for three-dimensional quantum gravity in a finite-radius thermal twisted flat space with a conical defect, reproducing the massive BMS$_3$ character. We perform the computation in both discrete and continuum geometry formulations, showing consistency between them. In the discrete case, we integrate out bulk degrees of freedom in a Regge gravity framework, while in the continuum, we construct a dual non-local boundary field theory encoding geodesic lengt…

This https://arxiv.org/abs/2501.00092 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Moments and saddles of heavy CFT correlators
We study the operator product expansion (OPE) of identical scalars in a conformal four-point correlator as a Stieltjes moment problem, and use Riemann-Liouville type fractional differential operators to generate classical moments from the correlation function. We use crossing symmetry to derive leading and subleading relations between moments in $Δ$ and $J_2 \equiv \ell(\ell+d-2)$ in the ``heavy" limit of large external scaling dimension, and combine them with constraints from unitarity to der…

Conservation Laws and Boundedness for Linearised Einstein--Maxwell Equations on the Reissner--Nordstr\"om Black Hole
Marios A. Apetroaie, Sam C. Collingbourne, Elena Giorgi
https://arxiv.org/abs/2506.04812

Conservation Laws and Boundedness for Linearised Einstein--Maxwell Equations on the Reissner--Nordström Black Hole
We study the linearised Einstein--Maxwell equations on the Reissner--Nordström spacetime and derive the canonical energy conservation law in double null gauge. In the spirit of the work of Holzegel and the second author, we avoid any use of the hyperbolic nature of the Teukolsky equations and rely solely on the conservation law to establish control of energy fluxes for the gauge-invariant Teukolsky variables, previously identified by the third author, along all outgoing null hypersurfaces, for…

This https://arxiv.org/abs/2502.02070 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Finite temperature QCD crossover at non-zero chemical potential: A Dyson-Schwinger approach
We study QCD at finite temperature and non-zero chemical potential to derive the critical temperature at the chiral phase transition (crossover). We solve a set of Dyson--Schwinger partial differential equations using the exact solution for the Yang--Mills quantum field theory based on elliptical functions. We derive a Nambu-Jona--Lasino (NJL) model of the quarks and obtain a very good agreement with recent lattice computations regarding the dependence of the critical temperature on the strong …