Tootfinder

Phase dynamics and their role determining energy flux in hydrodynamic shell models
Santiago J. Benavides, Miguel D. Bustamante
https://arxiv.org/abs/2507.03397

Phase dynamics and their role determining energy flux in hydrodynamic shell models
The transfer of energy and other conserved quantities across scales, also known as flux or spectral flux, is a central aspect of out-of-equilibrium systems such as turbulent hydrodynamic flows. Despite its role in the few predictive theories that exist, a dynamical understanding of what determines said flux (and its direction in scale) has yet to be established. In this study, we work towards this understanding by investigating how the dynamics of complex Fourier velocity phases influence the f…

Retrodicting Chaotic Systems: An Algorithmic Information Theory Approach
Kamal Dingle, Boumediene Hamzi, Marcus Hutter, Houman Owhadi
https://arxiv.org/abs/2507.04780

Retrodicting Chaotic Systems: An Algorithmic Information Theory Approach
Making accurate inferences about data is a key task in science and mathematics. Here we study the problem of \emph{retrodiction}, inferring past values of a series, in the context of chaotic dynamical systems. Specifically, we are interested in inferring the starting value $x_0$ in the series $x_0,x_1,x_2,\dots,x_n$ given the value of $x_n$, and the associated function $f$ which determines the series as $f(x_i)=x_{i+1}$. Even in the deterministic case this is a challenging problem, due to mixin…

Scale Dilation Dynamics in Flexible Bandwidth Needlet Constructions
Claudio Durastanti
https://arxiv.org/abs/2507.05075 https://arxiv…

Scale Dilation Dynamics in Flexible Bandwidth Needlet Constructions
Flexible bandwidth needlets offer a versatile multiscale framework for analyzing functions on the sphere. A key element in their construction is the dilation sequence, which controls how the multipole consecutive scales are spaced and overlapped. At any resolution level, this sequence determines the center positions of the needlet weight functions and influences their localization in the spatial domain and spectral concentration properties by means of the relative bandwidth ratio. In this paper…

Pointed Racks and Their Applications to Braid Theory
Angel Apollos, Jose Ceniceros
https://arxiv.org/abs/2508.03013 https://arxiv.org/pdf/2508.03013…

Pointed Racks and Their Applications to Braid Theory
We define a new algebraic structure called a \emph{pointed rack} and use it to construct ambient isotopy invariants of $ n $-braids. We first introduce an integer-valued invariant of braids using pointed racks. This is then strengthened by defining a matrix-valued invariant using racks. Moreover, our invariant determines the rack coloring invariant previously defined for the closure of the braid. Finally, we include examples of braids that are distinguished by these new invariants.

Delta plans for 20% of its fares to be individually determined using AI by the end of 2025, up from 3% now, with the goal of eliminating static pricing entirely (Irina Ivanova/Fortune)
https://fortune.com/2025/07/16/delt…

Delta moves toward eliminating set prices in favor of AI that determines how much you personally will pay for a ticket
The airline touted a partnership with an AI-enabled revenue system as a step on the road to fully personalized ticket pricing, part of its goal to raise profit margins long-term.

This https://arxiv.org/abs/2404.17589 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csIR_…

An Offline Reinforcement Learning Algorithm Customized for Multi-Task Fusion in Large-Scale Recommender Systems
As the last critical stage of RSs, Multi-Task Fusion (MTF) is responsible for combining multiple scores outputted by Multi-Task Learning (MTL) into a final score to maximize user satisfaction, which determines the ultimate recommendation results. Recently, to optimize long-term user satisfaction within a recommendation session, Reinforcement Learning (RL) is used for MTF in the industry. However, the offline RL algorithms used for MTF so far have the following severe problems: 1) to avoid out-o…

This https://arxiv.org/abs/2506.02644 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Non-exchangeable evolutionary and mean field games and their applications
A replicator dynamic for non-exchangeable agents in a continuous action space is formulated and its well-posedness is proven in a space of probability measures. The non-exchangeability allows for the analysis of evolutionary games involving agents with distinct (and possibly infinitely many) types. We also explicitly connect this replicator dynamic to a stationary mean field game, which determines the pairwise actions of the heterogeneous agents. Moreover, as a byproduct of our theoretical resu…

Generalized Turan number with given size
Yan Wang, Yue Xu, Jiasheng Zeng, Xiao-Dong Zhang
https://arxiv.org/abs/2508.00483 https://arxiv.org/pdf/2508.00483…

Generalized Turan number with given size
Generalized Turán problem with given size, denoted as $\mathrm{mex}(m,K_r,F)$, determines the maximum number of $K_r$-copies in an $F$-free graph with $m$ edges. We prove that for $r\ge 3$ and $α\in(\frac 2 r,1]$, any graph $G$ with $m$ edges and $Ω(m^{\frac{αr}{2}})$ $K_r$-copies has a subgraph of order $n_0=Ω(m^\fracα{2})$, which contains $Ω(n_0^{\frac{i(r-2)α}{(2-α)r-2}})$ $K_i$-copies for each $i = 2, \ldots, r$. This implies an upper bound of $\mathrm{mex}(m, K_r, F)$ when an uppe…

@… Is there a reference on how Firefox determines if a video codec is hardware accelerated? I just installed Firefox on an old laptop I upgraded to Win11, and about: support shows every codec as accelerated, which is impossible as this is a 2nd gen Intel Core series. Thanks!

Cascade Crack in Chain of Beads
Meysam Bagheri, Thorsten P\"oschel
https://arxiv.org/abs/2508.01288 https://arxiv.org/pdf/2508.01288

Cascade Crack in Chain of Beads
We consider a homogeneous chain of spheres linked by liquid bridges under tension. The rupture of a single liquid bridge leads to a fragmentation cascade driven by the inverse relation between the capillary force and the sphere distances. The initial length of the liquid bridges determines the number and size of the fragments and the velocity of the fragmentation front.

Groups of Projectivities in Spherical Buildings of Non-Simply Laced Type
Sira Busch, Hendrik Van Maldeghem
https://arxiv.org/abs/2507.02441 https://…

Groups of Projectivities in Spherical Buildings of Non-Simply Laced Type
In this article we describe the general and special projectivity groups for all irreducible residues of all thick, irreducible, spherical buildings of type $ \mathsf{B_{n}}$, $ \mathsf{C_{n}}$ and $\mathsf{F_4}$, and rank at least 3. This determines the exact structure and action of Levi subgroups of parabolic subgroups of groups of Lie type related to those buildings.

Engineering harmonic emission through spatial modulation in a Kitaev chain
Nivash R., S. Srinidhi, Jayendra N. Bandyopadhyay, Amol R. Holkundkar
https://arxiv.org/abs/2506.05003

Engineering harmonic emission through spatial modulation in a Kitaev chain
We investigate High-harmonic generation (HHG) in a dimerized Kitaev chain. The dimerization in the model is introduced through a site-dependent modulating potential, determined by a parameter $λ\in [-1:1]$. This parameter also determines the strength of the hopping amplitudes and tunes the system's topology. Depending upon the parameter $λ$, the HHG emission spectrum can be classified into three segments. The first segment exhibits two plateau structures, with the dominant one resulting from …

Citizen science study determines that more than one light per person is still on late at night in Germany #Germany

Citizen science study determines that more than one light per person is still on late at night in Germany
Nighttime satellite images have shown that cities are getting brighter, and light pollution is now recognized as an environmental issue. But how should local governments even begin the work of resolving this if nobody really knows what the sources of all this light are? A large citizen science project led by Dr. Christopher Kyba, at the time geographer at Ruhr University Bochum and the GFZ Helmholtz Center for Geosciences, is now shedding light on the matter.

Non-archimedean periods for log Calabi-Yau surfaces
Soham Karwa, Jonathan Lai
https://arxiv.org/abs/2506.01651 https://arxiv.org/pdf/…

Non-archimedean periods for log Calabi-Yau surfaces
We prove the first instance of a conjecture by Kontsevich-Soibelman that the non-archimedean period map recovers the analytic periods in the case of log Calabi-Yau surfaces. In particular, we show that the K-affine structure, a natural enhancement of the singular integral affine structure on the essential skeleton, determines the isomorphism type of the log Calabi-Yau surface.

An Attack on the Medical Establishment Buried in an 1,800-Page Regulation
If approved, a new rule could end the entrenched pay advantages for specialists like surgeons over other doctors.
An A.M.A. committee determines the difficulty and time demands of each type of medical visit, test and procedure -- and then recommends to Medicare how much doctors should be paid for performing them.
For decades, critics have complained that this process unfairly rewards surgeons and othe…

An Attack on the Medical Establishment Buried in an 1,800-Page Regulation
If approved, a new rule could end the entrenched pay advantages for specialists like surgeons over other doctors.

Phi-Ground Tech Report: Advancing Perception in GUI Grounding
Miaosen Zhang, Ziqiang Xu, Jialiang Zhu, Qi Dai, Kai Qiu, Yifan Yang, Chong Luo, Tianyi Chen, Justin Wagle, Tim Franklin, Baining Guo
https://arxiv.org/abs/2507.23779

Phi-Ground Tech Report: Advancing Perception in GUI Grounding
With the development of multimodal reasoning models, Computer Use Agents (CUAs), akin to Jarvis from \textit{"Iron Man"}, are becoming a reality. GUI grounding is a core component for CUAs to execute actual actions, similar to mechanical control in robotics, and it directly leads to the success or failure of the system. It determines actions such as clicking and typing, as well as related parameters like the coordinates for clicks. Current end-to-end grounding models still achieve less than 65\…

State Change via One-Dimensional Scattering in Quantum Mechanics
Olivia Pomerenk, Charles S. Peskin
https://arxiv.org/abs/2506.24090 https://

State Change via One-Dimensional Scattering in Quantum Mechanics
We consider a pair of particles that interact in a one-dimensional setting via a delta-function potential. One of the particles is confined to a one-dimensional box, and the other particle is free. The free particle is incident from the left with specified energy, and it may cause changes in state of the confined particle before flying away to the left or to the right. We present a non-perturbative formulation and computational scheme that determines the probability of any such outcome, as a fu…

FlexPainter: Flexible and Multi-View Consistent Texture Generation
Dongyu Yan, Leyi Wu, Jiantao Lin, Luozhou Wang, Tianshuo Xu, Zhifei Chen, Zhen Yang, Lie Xu, Shunsi Zhang, Yingcong Chen
https://arxiv.org/abs/2506.02620

FlexPainter: Flexible and Multi-View Consistent Texture Generation
Texture map production is an important part of 3D modeling and determines the rendering quality. Recently, diffusion-based methods have opened a new way for texture generation. However, restricted control flexibility and limited prompt modalities may prevent creators from producing desired results. Furthermore, inconsistencies between generated multi-view images often lead to poor texture generation quality. To address these issues, we introduce \textbf{FlexPainter}, a novel texture generation …

Critical Metallicity of Cool Supergiant Formation. II. Physical Origin
Po-Sheng Ou, Ke-Jung Chen
https://arxiv.org/abs/2506.01753 https://

Critical Metallicity of Cool Supergiant Formation. II. Physical Origin
This study investigates the physical origin of the critical metallicity ($Z_{\rm c}\sim 0.001$) required for the formation of cool supergiants, as revealed by stellar evolution models. Using model grids that vary in mass, metallicity, opacity, and nuclear reaction rates, we identify a threshold terminal-age main-sequence (TAMS) radius ($R_{\rm T}$) that determines whether a star of a given mass can evolve into the red supergiant (RSG) phase. Through stellar models and homology relations, we sho…

Fast numerical generation of Lie closure
Yutaro Iiyama
https://arxiv.org/abs/2506.01120 https://arxiv.org/pdf/2506.01120

Fast numerical generation of Lie closure
Finding the Lie-algebraic closure of a handful of matrices has important applications in quantum computing and quantum control. For most realistic cases, the closure cannot be determined analytically, necessitating an explicit numerical construction. The standard construction algorithm makes repeated calls to a subroutine that determines whether a matrix is linearly independent from a potentially large set of matrices. Because the common implementation of this subroutine has a high complexity, …

Effects of higher-order interactions and homophily on information access inequality
Moritz Laber, Samantha Dies, Joseph Ehlert, Brennan Klein, Tina Eliassi-Rad
https://arxiv.org/abs/2506.00156

Effects of higher-order interactions and homophily on information access inequality
The spread of information through socio-technical systems determines which individuals are the first to gain access to opportunities and insights. Yet, the pathways through which information flows can be skewed, leading to systematic differences in access across social groups. These inequalities remain poorly characterized in settings involving nonlinear social contagion and higher-order interactions that exhibit homophily. We introduce a enerative model for hypergraphs with hyperedge homophily…

This https://arxiv.org/abs/2106.02411 has been replaced.
link: https://scholar.google.com/scholar?q=a

Parametrized Kähler class and Zariski dense orbital 1-cohomology
Let $Γ$ be a finitely generated group and let $(X,μ_X)$ be an ergodic standard Borel probability $Γ$-space. Suppose that $G$ is the connected component of the identity of the isometry group of a Hermitian symmetric space. Given a Zariski dense measurable cocycle $σ:Γ\times X \rightarrow G$, we define the notion of parametrized Kähler class and we show that it completely determines the cocycle up to cohomology.x

Critical elements in algebras of numerical events
Dietmar Dorninger, Helmut L\"anger
https://arxiv.org/abs/2507.00194 https://ar…

Critical elements in algebras of numerical events
The probability p(s) of the occurrence of an event pertaining to a physical system which is observed in different states s determines a function p from the set S of states of the system to [0,1]. The function p is called a numerical event or more precisely an S-probability. When appropriately structured, sets P of numerical events form so-called algebras of S-probabilities, which are orthomodular posets that can serve as quantum logics. If one deals with a classical physical system, then P will…

A finite Linear Dependence of Discrete Series Multiplicities
Kaustabh Mondal, Gunja Sachdeva
https://arxiv.org/abs/2506.00542 https://

A finite Linear Dependence of Discrete Series Multiplicities
Let $G$ be a connected semisimple simply connected Lie group with a compact Cartan subgroup and let $Γ$ be a uniform lattice in $G$. Let $\widehat{G}_d$ denote the set of equivalence classes of unitary discrete series representations of $G$. We prove that for any finite subset of $\widehat{G}_d$ satisfying a certain condition, the associated finite set of discrete series multiplicities in $L^2(Γ\backslash G)$ determines all discrete series multiplicities in $L^2(Γ\backslash G)$. This allows …

The matrix weighted real-analytic double fibration transforms
Hiroyuki Chihara, Shubham R. Jathar, Jesse Railo
https://arxiv.org/abs/2506.24067 https://

The matrix weighted real-analytic double fibration transforms
We show that the real-analytic matrix-weighted double fibration transform determines the analytic wavefront set of a vector-valued function. We apply this result to show that the matrix weighted ray transform is injective on a two-dimensional, non-trapping, real-analytic Riemannian manifold with strictly convex boundary. Additionally, we show that a real-analytic Higgs field can be uniquely determined from the nonabelian ray transform on real-analytic Riemannian manifolds of any dimension with …

Chromatic MacMahon symmetric functions of graphs
Jeremy L. Martin, May B. Trist
https://arxiv.org/abs/2508.00157 https://arxiv.org/pdf/2508.00157

Chromatic MacMahon symmetric functions of graphs
A MacMahon symmetric function is an invariant of the diagonal action of the symmetric group on power series in multiple alphabets of variables. We introduce an analogue of the chromatic symmetric function for vertex-weighted graphs, taking values in the MacMahon symmetric functions on two sets of variables, recording information about both cardinalities and weights of vertex sets. We prove that the chromatic symmetric MacMahon function of a tree determines the generating function for its vertex…

European Commission says Meta has proposed limited changes to its pay-or-consent ad model, and Meta faces daily fines if it determines they are not sufficient (Reuters)
https://economictimes.indiatimes.com/t

Meta will only make limited changes to pay-or-consent model, EU says
Meta Platforms made only limited changes to its pay-or-consent model, and EU regulators cannot confirm compliance with an antitrust order. The European Commission may impose periodic penalties starting June 27, if Meta continues to fail meeting the required standards.

Stability criteria for hybrid linear systems with singular perturbations
Ihab Haidar (ENSEA, QUARTZ), Yacine Chitour (L2S), Jamal Daafouz (IUF, CRAN), Paolo Mason (L2S), Mario Sigalotti (LJLL)
https://arxiv.org/abs/2507.02446

Stability criteria for hybrid linear systems with singular perturbations
We study a class of singularly perturbed impulsive linear switched systems exhibiting switching between slow and fast dynamics. To analyze their behavior, we construct auxiliary switched systems evolving in a single time scale. The stability or instability of these auxiliary systems directly determines that of the original system in the regime of small singular perturbation parameters.

Hybrid Black Hole-Disk Driven Jets: Steady Axisymmetric Ideal MHD Modeling
Yu Song, Yehui Hou, Lei Huang, Bin Chen
https://arxiv.org/abs/2507.23281 https://

Hybrid Black Hole-Disk Driven Jets: Steady Axisymmetric Ideal MHD Modeling
Improved observational precision in relativistic jets has underscored the need for tractable theoretical models. In this study, we construct a semi-analytical hybrid jet model that incorporates both black hole-driven and disk-driven components within the framework of steady, axisymmetric, ideal MHD. We derive a condition that determines the launching sites of cold outflows, introducing a new constraint on the magnetic field configuration threading the accretion disk. Using the Bernoulli equatio…

Resonance density range governs two-plasmon decay saturation and enables hot-electron prediction in inertial confinement fusion
C. Yao, J. Li, L. Hao, R. Yan, T. Tao, G-N. Zheng, Q. Jia, Y-K. Ding, J. Zheng
https://arxiv.org/abs/2505.24607

Resonance density range governs two-plasmon decay saturation and enables hot-electron prediction in inertial confinement fusion
The saturation level of parametric instabilities critically determines their impact on fusion plasmas. We identify the resonance density range of two-plasmon decay as the critical parameter governing nonlinear saturation of ion density fluctuations and Langmuir waves, which drive hot-electron generation. Using this insight, we develop a predictive scaling model for the hot-electron energy fraction f_{hot} that depends only on the laser intensity I, with plasma conditions encoded via plasma abla…

This https://arxiv.org/abs/2505.23328 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

PyTICS: An Iterative Method for Photometric Lightcurve Intercalibration using Comparison Stars
Intensive reverberation mapping monitoring programs combine ground-based photometric observations from different telescopes, requiring intercalibration of lightcurves to reduce systematic instrumental differences. We present a new iterative algorithm to calibrate photometric time-series data of active galactic nuclei (AGN) using 100s of comparison stars on the same images, building upon the established method of ensemble photometry. The algorithm determines telescope-specific and epoch-specific…

Weil representations associated to isocrystals over function fields
Maxim Mornev, Richard Pink
https://arxiv.org/abs/2507.20807 https://arxiv.org/pdf/2507.…

Weil representations associated to isocrystals over function fields
Every Anderson $A$-motive $M$ over a field determines a compatible system of Galois representations on its Tate modules at almost all primes of $A$. This adapts easily to $F$-isocrystals, which are rational analogues of $A$-motives for the global function field $F:=\operatorname{Quot}(A)$. We extend this compatible system by constructing a Weil group representation associated to $M$ for every place of $F$. To this end we generalize the Tate module construction to a tensor functor on $F_{\mathfr…

Global warming is altering storms lightning, impacting tropical forests https://news.mongabay.com/2025/07/global-warming-is-altering-storms-lightning-impacting-tropical-forests/

Global warming is altering storms lightning, impacting tropical forests
A climate change-induced surge in brief but intense thunderstorms poses a growing but underrecognized threat to trees in tropical forests, a finding that could have major implications for carbon storage and tropical biodiversity under future global warming scenarios. That’s according to a recently published paper, which determines that short-lived but powerful convective storms — combining […]

Nonlinear Dielectric Decrement of Electrolyte Solutions: an Effective Medium Approach
Yasuya Nakayama
https://arxiv.org/abs/2506.01990 https://

Nonlinear Dielectric Decrement of Electrolyte Solutions: an Effective Medium Approach
Hypothesis. The dielectric constant of an electrolyte solution, which determines electrostatic interactions between colloids and interfaces, depends nonlinearly on the salinity and also on the type of salt. The linear decrement at dilute solutions is due to the reduced polarizability in the hydration shell around an ion. However, the full hydration volume cannot explain the experimental solubility, which indicates the hydration volume should decrease at high salinity. Volume reduction of the hy…

Replaced article(s) found for q-bio.PE. https://arxiv.org/list/q-bio.PE/new
[1/1]:
- Flow spatial structure determines pattern instabilities in nonlocal models of population dynamics
Silvano, Valeriano, Hern\'andez-Garc\'ia, L\'opez, Martinez-Garcia

Modeling the Mass Distribution and Gravitational Potential of Nearby Disk Galaxies: Implications for the ISM Dynamical Equilibrium
Vivek Vijayakumar, Jiayi Sun, Eve C. Ostriker, Enrico M. Di Teodoro, Konstantin Haubner, Chang-Goo Kim, Adam K. Leroy, Miguel Querejeta
https://arxiv.org/abs/2506.22381…

Modeling the Mass Distribution and Gravitational Potential of Nearby Disk Galaxies: Implications for the ISM Dynamical Equilibrium
We characterize stellar, gas, and dark matter mass distributions for 17 nearby massive disk galaxies from the PHANGS sample. This allows us to compute the gravitational potential that vertically confines the interstellar gas and determines its equilibrium scale height and weight. We first combine dynamical mass constraints from existing CO and HI rotation curves together with stellar and gas mass estimates from near-infrared, CO, and HI data. These estimates incorporate current best practices i…

Localization of strings on group manifolds
Sameer Murthy, Edward Witten
https://arxiv.org/abs/2506.20028 https://arxiv.org/pdf/2506.2…

Localization of strings on group manifolds
We compute the partition function of the WZW model with target a compact Lie group $G$ by adapting a method used by Choi and Takhtajan to compute the heat kernel of the group manifold. The basic idea is to compute the partition function of a supersymmetric version of the WZW model using a form of supersymmetric localization and then use the fact that, since the fermions of the supersymmetric WZW model are actually decoupled from the bosons, this also determines the partition function of the pur…

Non-exchangeable evolutionary and mean field games and their applications
H. Yoshioka, M. Tsujimura, T. Yanaka
https://arxiv.org/abs/2506.02644 https://

Non-exchangeable evolutionary and mean field games and their applications
A replicator dynamic for non-exchangeable agents in a continuous action space is formulated and its well-posedness is proven in a space of probability measures. The non-exchangeability allows for the analysis of evolutionary games involving agents with distinct (and possibly infinitely many) types. We also explicitly connect this replicator dynamic to a stationary mean field game, which determines the pairwise actions of the heterogeneous agents. Moreover, as a byproduct of our theoretical resu…

One Step Beyond: Feedthrough & Placement-Aware Rectilinear Floorplanner
Zhexuan Xu, Jie Wang, Siyuan Xu, Zijie Geng, Mingxuan Yuan, Feng Wu
https://arxiv.org/abs/2507.14914

One Step Beyond: Feedthrough & Placement-Aware Rectilinear Floorplanner
Floorplanning determines the shapes and locations of modules on a chip canvas and plays a critical role in optimizing the chip's Power, Performance, and Area (PPA) metrics. However, existing floorplanning approaches often fail to integrate with subsequent physical design stages, leading to suboptimal in-module component placement and excessive inter-module feedthrough. To tackle this challenge, we propose Flora, a three-stage feedthrough and placement aware rectilinear floorplanner. In the firs…

Time-energy tradeoff in stochastic resetting using optimal control
R\'emi Goerlich, Kristian St{\o}levik Olsen, Hartmut L\"owen, Yael Roichman
https://arxiv.org/abs/2507.19387

Time-energy tradeoff in stochastic resetting using optimal control
Stochastic resetting is a driving mechanism that is known to minimize the first passage time to reach a target, at the cost of energy expenditure. The choice of the physical implementation of each resetting event determines the tradeoff between the acceleration of the search process and its energetic cost. Here, we present an optimal transport protocol that balances the duration and the energetic cost of each resetting event. This protocol drives a harmonically trapped Brownian particle between…

Spectral extremal problem for the odd prism
Xinhui Duan, Lu Lu
https://arxiv.org/abs/2507.01266 https://arxiv.org/pdf/2507.01266

Spectral extremal problem for the odd prism
The spectral Turán number $\spex(n, F)$ denotes the maximum spectral radius $ρ(G)$ of an $F$-free graph $G$ of order $n$. This paper determines $\spex\left(n, C_{2k+1}^{\square}\right)$ for all sufficiently large $n$, establishing the unique extremal graph. Here, $C_{2k+1}^{\square}$ is the odd prism -- the Cartesian product $C_{2k+1} \square K_2$ -- where the Cartesian product $G \square F$ has vertex set $V(G) \times V(F)$, and edges between $(u_1,v_1)$ and $(u_2,v_2)$ if either $u_1 = u_2$…

End-to-end entanglement of quantum network paths with multi-parameter states
Md Sohel Mondal, Aniket Zambare, Siddhartha Santra
https://arxiv.org/abs/2506.22245

End-to-end entanglement of quantum network paths with multi-parameter states
Long-range entanglement distribution in a quantum network relies on entanglement swapping at intermediate nodes along a network path to connect short-range entangled states established over the network edges. The end-to-end entanglement of a network path obtained via this process determines the utility of the network path for executing entanglement enabled tasks and for the design of entanglement routing protocols in the quantum network. Here, we study the end-to-end entanglement of paths in a …

Hermitian hull of some GRS codes and new EAQMDS codes
Oisin Campion, Rodrigo San-Jos\'e
https://arxiv.org/abs/2507.18361 https://arxiv.org/pdf/2507.183…

Hermitian hull of some GRS codes and new EAQMDS codes
We study the Hermitian hull of a particular family of generalized Reed-Solomon codes. The problem of computing the dimension of the hull is translated to a counting problem in a lattice. By solving this problem, we provide explicit formulas for the dimension of the hull, which determines the minimum number required of maximally entangled pairs for the associated entanglement-assisted quantum error-correcting codes. This flexible construction allows to obtain a wide range of entanglement-assiste…

Self-adjoint operators in Z-stable C$^*$-algebras with prescribed spectral data
Andrew S. Toms, Hao Wan
https://arxiv.org/abs/2505.22448 https://

Self-adjoint operators in Z-stable C$^*$-algebras with prescribed spectral data
We consider the variety of spectral measures that are induced by quasitraces on the spectrum of a self-adjoint operator in a simple separable unital and Z-stable C$^*$-algebra. This amounts to a continuous map from the simplex of quasitraces of the C$^*$-algebra into regular Borel probability measures on the spectrum of the operator under consideration. In the case of a connected spectrum this data determines the unitary equivalence class of the operator, and may be reduced to to the case of an…

Online Learning for Dynamic Vickrey-Clarke-Groves Mechanism in Sequential Auctions under Unknown Environments
Vincent Leon, S. Rasoul Etesami
https://arxiv.org/abs/2506.19038

Online Learning for Dynamic Vickrey-Clarke-Groves Mechanism in Sequential Auctions under Unknown Environments
We consider the problem of online dynamic mechanism design for sequential auctions in unknown environments, where the underlying market and, thus, the bidders' values vary over time as interactions between the seller and the bidders progress. We model the sequential auctions as an infinite-horizon average-reward Markov decision process (MDP), where the transition kernel and reward functions are unknown to the seller. In each round, the seller determines an allocation and a payment for each bidd…

Impact of a Lower Limb Exosuit Anchor Points on Energetics and Biomechanics
Chiara Lambranzi, Giulia Oberti, Christian Di Natali, Darwin G. Caldwell, Manuela Galli, Elena De Momi, Jes\`us Ortiz
https://arxiv.org/abs/2507.23579

Impact of a Lower Limb Exosuit Anchor Points on Energetics and Biomechanics
Anchor point placement is a crucial yet often overlooked aspect of exosuit design since it determines how forces interact with the human body. This work analyzes the impact of different anchor point positions on gait kinematics, muscular activation and energetic consumption. A total of six experiments were conducted with 11 subjects wearing the XoSoft exosuit, which assists hip flexion in five configurations. Subjects were instrumented with an IMU-based motion tracking system, EMG sensors, and …

PID Tuning via Desired Step Response Curve Fitting
Senol Gulgonul
https://arxiv.org/abs/2506.17655 https://arxiv.org/pdf/2506.17655…

PID Tuning via Desired Step Response Curve Fitting
This paper presents a PID tuning method based on step response curve fitting (PID-SRCF) that combines integral absolute error (IAE) minimization with explicit transient response shaping. The proposed approach determines optimal PID parameters by matching the closed-loop response to any desired system response, but practically either a first-order plus time delay model or a second-order system with defined settling time and overshoot requirements. Implemented using constrained nonlinear optimiza…

Characterizations of contracting Hurwitz bisets
Walter Parry, Kevin M. Pilgrim
https://arxiv.org/abs/2506.23222 https://arxiv.org/pdf…

Characterizations of contracting Hurwitz bisets
A critically finite branched self-cover $f: (S^2, P) \to (S^2, P)$ determines naturally three iterated function systems: one on the pure mapping class group of the sphere marked at $P$, one on the Teichmüller space of the sphere marked at $P$, and one on a finite-dimensional real vector space. We show that contraction for any one of these systems implies contraction for the others.

Power Allocation and RIS Elements Optimisation for Reconfigurable Intelligent Surfaces assisted RSMA
Abdullah Qayyum, Maziar Nekovee
https://arxiv.org/abs/2507.17419 https://

Power Allocation and RIS Elements Optimisation for Reconfigurable Intelligent Surfaces assisted RSMA
This paper proposes power allocation and the number of reconfigurable intelligent surfaces (RIS) elements optimisation in a RIS-assisted rate splitting multiple access (RSMA) system. The optimised RIS-RSMA (ORIS-RSMA) method determines the optimal number of RIS elements and the power allocation factors for both common and private parts of a message. Additionally, it maximises the sum rate while ensuring that a target common rate is satisfied. The performance of the proposed ORIS-RSMA is compare…

Dynatune: Dynamic Tuning of Raft Election Parameters Using Network Measurement
Kohya Shiozaki, Junya Nakamura
https://arxiv.org/abs/2507.15154 https://

Dynatune: Dynamic Tuning of Raft Election Parameters Using Network Measurement
Raft is a leader-based consensus algorithm that implements State Machine Replication (SMR), which replicates the service state across multiple servers to enhance fault tolerance. In Raft, the servers play one of three roles: leader, follower, or candidate. The leader receives client requests, determines the processing order, and replicates them to the followers. When the leader fails, the service must elect a new leader to continue processing requests, during which the service experiences an ou…

Non-ideal subthreshold swing in aligned carbon nanotube transistors due to variable occupancy discrete charge traps
Saurabh S. Sawant, Teo Lara, Francois Leonard, Zhi Yao, Andrew Nonaka
https://arxiv.org/abs/2507.18646

Non-ideal subthreshold swing in aligned carbon nanotube transistors due to variable occupancy discrete charge traps
Carbon nanotube transistors have been experimentally demonstrated to reach performance comparable and even surpassing that of silicon transistors. Further improvement requires addressing non-idealities arising from device fabrication that impact performance and reproducibility. One performance metric that determines energy efficiency is the subthreshold swing which is often observed to be 3-4 times larger than the ideal thermal limit. In this work, we present simulations indicating that a discr…

Mapping the Evolution of Research Contributions using KnoVo
Sajratul Y. Rubaiat, Syed N. Sakib, Hasan M. Jamil
https://arxiv.org/abs/2506.17508 https://

Mapping the Evolution of Research Contributions using KnoVo
This paper presents KnoVo (Knowledge Evolution), an intelligent framework designed for quantifying and analyzing the evolution of research novelty in the scientific literature. Moving beyond traditional citation analysis, which primarily measures impact, KnoVo determines a paper's novelty relative to both prior and subsequent work within its multilayered citation network. Given a target paper's abstract, KnoVo utilizes Large Language Models (LLMs) to dynamically extract dimensions of comparison…

Swinging, Fast and Slow: Interpreting variation in baseball swing tracking metrics
Scott Powers, Ronald Yurko
https://arxiv.org/abs/2507.01238 https://

Swinging, Fast and Slow: Interpreting variation in baseball swing tracking metrics
In 2024, Major League Baseball released new bat tracking data, reporting swing-by-swing bat speed and swing length measured at the point of contact. While exciting, the data present challenges for their interpretation. The timing of the batter's swing relative to the pitch determines the point of measurement relative to the full swing path. The relationship between swing metrics and swing outcomes is confounded by the batter's pitch recognition. We introduce a framework for interpreting bat tra…

From Judgment to Interference: Early Stopping LLM Harmful Outputs via Streaming Content Monitoring
Yang Li, Qiang Sheng, Yehan Yang, Xueyao Zhang, Juan Cao
https://arxiv.org/abs/2506.09996

From Judgment to Interference: Early Stopping LLM Harmful Outputs via Streaming Content Monitoring
Though safety alignment has been applied to most large language models (LLMs), LLM service providers generally deploy a subsequent moderation as the external safety guardrail in real-world products. Existing moderators mainly practice a conventional full detection, which determines the harmfulness based on the complete LLM output, causing high service latency. Recent works pay more attention to partial detection where moderators oversee the generation midway and early stop the output if harmful…

Entropy Stable Nodal Discontinuous Galerkin Methods via Quadratic Knapsack Limiting
Brian Christner, Jesse Chan
https://arxiv.org/abs/2507.14488 https://…

Entropy Stable Nodal Discontinuous Galerkin Methods via Quadratic Knapsack Limiting
Lin, Chan (High order entropy stable discontinuous Galerkin spectral element methods through subcell limiting, 2024) enforces a cell entropy inequality for nodal discontinuous Galerkin methods by combining flux corrected transport (FCT)-type limiting and a knapsack solver, which determines optimal limiting coefficients that result in a semi-discrete cell entropy inequality while preserving nodal bounds. In this work, we provide a slight modification of this approach, where we utilize a quadrati…

The interaction of turbulence, magnetic islands and zonal fields in fluid plasma models with cubic non-linearities
Daniele Villa, Nicolas Dubuit, Olivier Agullo, Xavier Garbet
https://arxiv.org/abs/2506.23593

The interaction of turbulence, magnetic islands and zonal fields in fluid plasma models with cubic non-linearities
It is shown that magnetic islands generated by pressure-gradient-driven turbulence are common across a wide range of conditions. The interaction among turbulence, magnetic island and other large scale structures (the zonal flow and the zonal current), largely determines the dynamics of the system. Turbulence takes a background role, providing energy to the large-scale structures, without influencing their evolution directly. The growth of the zonal current is linearly related to that of the mag…

A generalization of Deterministic Finite Automata related to discharging
John M. Campbell
https://arxiv.org/abs/2506.14072 https://ar…

A generalization of Deterministic Finite Automata related to discharging
Deterministic Finite Automata (DFAs) are of central importance in automata theory. In view of how state diagrams for DFAs are defined using directed graphs, this leads us to introduce a generalization of DFAs related to a method widely used in graph theory referred to as the discharging method. Given a DFA $(Q, Σ, δ, q_{0}, F)$, the transition function $δ\colon Q \times Σ\to Q$ determines a directed path in the corresponding state diagram based on an input string $a_{1} a_{2} \cdots a_{n}$ …

This https://arxiv.org/abs/2502.08602 has been replaced.
initial toot: https://mastoxiv.page/@arXi…

Stretching Response of a Polymer Chain with Deformable Bonds
The stretching response of polymer chains fundamentally determines the mechanical properties of polymer networks. In this Letter, we develop a statistical mechanics model that incorporates both bond stretching and bond angle deformation, enabling accurate predictions of chain behavior up to large forces. We further propose a semianalytical deformable freely rotating chain (dFRC) model, which represents the chain as a freely rotating chain with effective bond stretch and bond angle that depend o…

Polarization Vortex for Enhanced Refractive Index Sensing
Ravshanjon Nazarov, Mingzhao Song, Andrey Bogdanov, Zarina Kondratenko
https://arxiv.org/abs/2507.15705

Polarization Vortex for Enhanced Refractive Index Sensing
Although all-dielectric sensors exhibit minimal absorption and a high figure of merit (FOM), their sensitivity is significantly lower compared to plasmonic sensors. One approach to enhancing the sensitivity of dielectric sensors is utilizing bound states in the continuum (BICs), which are resonant states with an infinite radiative lifetime. These states are characterized by polarization vortices in the far field, whose winding number determines the topological charge. Here, we demonstrate that …

Divide or Confer: Aggregating Information without Verification
James Best, Daniel Quigley, Maryam Saeedi, Ali Shourideh
https://arxiv.org/abs/2507.17609 https://

Divide or Confer: Aggregating Information without Verification
We examine receiver-optimal mechanisms for aggregating information that is divided across many biased senders. Each sender privately observes an unconditionally independent signal about an unknown state, so no sender can verify another's report. A receiver has a binary accept/reject decision which determines players' payoffs via the state. When information is divided across a small population and bias is low, the receiver-optimal mechanism coincides with the sender-preferred allocation, and can…

LINE: Public-key encryption
Gennady Khalimov, Yevgen Kotukh
https://arxiv.org/abs/2507.04501 https://arxiv.org/pdf/2507.04501

LINE: Public-key encryption
We propose a public key encryption cryptosystem based on solutions of linear equation systems with predefinition of input parameters through shared secret computation for factorizable substitutions. The existence of multiple equivalent solutions for an underdetermined system of linear equations determines the impossibility of its resolution by a cryptanalyst in polynomial time. The completion of input parameters of the equation system is implemented through secret homomorphic matrix transformat…

The Rayleigh Criterion: Resolution Limits of Astronomical Periodograms
V. Ramirez Delgado, J. S. Caicedo Vivas, S. Dodson-Robinson, C. Haley
https://arxiv.org/abs/2506.20864

The Rayleigh Criterion: Resolution Limits of Astronomical Periodograms
The Rayleigh criterion determines the resolution limit of a periodogram, which is the minimum frequency separation required to barely resolve two sinusoids. Failing to consider the Rayleigh criterion may result in incorrect interpretations of long-period signals or spurious claims that two closely spaced periodogram peaks represent two distinct physical processes. We demonstrate how applying the Rayleigh criterion can help observers avoid false positive detections caused by uneven observing cad…

Trump is asking SCOTUS to permit outsourcing torture
Department of Homeland Security v. D.V.D.,
is the case where the Trump administration asks the justices to effectively neutralize the Convention Against Torture
According to Trump’s lawyers, the administration can simply wait until after an immigration judge has conducted a proceeding that determines whether a particular noncitizen may be deported to a particular country,
and then, if that noncitizen is allowed t…

Trump asks the Supreme Court to neutralize the Convention Against Torture
Trump’s lawyers claim they’ve found a loophole that will allow Trump to ship immigrants overseas to be tortured.

Decoding Cortical Microcircuits: A Generative Model for Latent Space Exploration and Controlled Synthesis
Xingyu Liu, Yubin Li, Guozhang Chen
https://arxiv.org/abs/2506.11062

Decoding Cortical Microcircuits: A Generative Model for Latent Space Exploration and Controlled Synthesis
A central idea in understanding brains and building artificial intelligence is that structure determines function. Yet, how the brain's complex structure arises from a limited set of genetic instructions remains a key question. The ultra high-dimensional detail of neural connections vastly exceeds the information storage capacity of genes, suggesting a compact, low-dimensional blueprint must guide brain development. Our motivation is to uncover this blueprint. We introduce a generative model, t…

A Clockwork Quantum: Symmetry, Noise, and the Emergence of Quantum Order
Eric R. Bittner, Bhavay Tyagi
https://arxiv.org/abs/2507.19348 https://arxiv.org/p…

A Clockwork Quantum: Symmetry, Noise, and the Emergence of Quantum Order
We present a concise review and perspective on noise-induced synchronization and coherence protection in open quantum systems, with emphasis on recent work involving coupled spins, oscillators, and anyons. When local environments exhibit internal correlations, the structure of the noise determines which collective modes become decoherence-protected. This leads to steady-state entanglement, phase locking, and exceptional points (EPs) in the Liouvillian spectrum, signaling a collapse of the mode …

On branching points in the Gilbert-Steiner problem
Danila Cherkashin
https://arxiv.org/abs/2507.13532 https://arxiv.org/pdf/2507.1353…

On branching points in the Gilbert-Steiner problem
The Gilbert--Steiner problem is a generalization of the Steiner tree problem and specific optimal mass transportation, which allows the use additional (branching) point in a transport plan. A specific feature of the problem is that the cost of transporting a mass $m$ along a segment of length $l$ is equal to $l \times m^p$ for a fixed $0 < p < 1$ and segments may end at points not belonging to the supports of given measures (branching points). Main result of this paper determines all pairs of…

Identifiability in epidemic models with prior immunity and under-reporting
Fanny Bergstr\"om, Martina Favero, Tom Britton
https://arxiv.org/abs/2506.07825

Identifiability in epidemic models with prior immunity and under-reporting
Identifiability is the property in mathematical modelling that determines if model parameters can be uniquely estimated from data. For infectious disease models, failure to ensure identifiability can lead to misleading parameter estimates and unreliable policy recommendations. We examine the identifiability of a modified SIR model that accounts for under-reporting and pre-existing immunity in the population. We provide a mathematical proof of the unidentifiability of jointly estimating three pa…

Anomalous Superfluid Density in Pair-Density-Wave Superconductors
Ke Wang, Qijin Chen, Rufus Boyack, K. Levin
https://arxiv.org/abs/2506.13631 https://

Anomalous Superfluid Density in Pair-Density-Wave Superconductors
We study the superfluid density $n_s(T)$ of pair-density-wave (PDW) superconductors; this determines where they are unstable and establishes signatures of their unusual order. Here we compute $n_s(T)$ for the 2D unidirectional PDW superconducting phases that emerge from a microscopic model (with nearest neighbor attraction). With gapped and gapless bands in the Bogoliubov quasiparticle dispersion, this theory provides self-consistently determined wavevectors \(\mathbf{Q}\) for the spatially mod…

Regular homomorphisms, with a twist
Jeff Achter, Sebastian Casalaina-Martin, Charles Vial
https://arxiv.org/abs/2506.17033 https://ar…

Regular homomorphisms, with a twist
Let $X/K$ be a variety over a field, and $A/K$ an abelian variety. A regular homomorphism to $A$ (in codimension $i$) induces, for every smooth geometrically connected pointed $K$-scheme $(T,t_0)$ and every cycle class $Z \in CH^i(T\times X)$, a morphism $T \to A$ of varieties over $K$. In this note we show that, if $T$ admits no $K$-point, the data $(T,Z)$ determines a torsor $A^{(T,Z)}$ over $K$ under $A$ and a $K$-morphism $T \to A^{(T,Z)}$. This can be used to provide an obstruction to the …

Three-dimensional equation of state extension of quark matter in Fermi-liquid theory
Zhenyu Zhu, Shuai Zha, Sophia Han
https://arxiv.org/abs/2506.17569 htt…

Three-dimensional equation of state extension of quark matter in Fermi-liquid theory
The cold, dense matter equation of state (EoS) determines crucial global properties of neutron stars (NSs), including the mass, radius and tidal deformability. However, a one-dimensional (1D), cold, and $β$-equilibrated EoS is insufficient to fully describe the interactions or capture the dynamical processes of dense matter as realized in binary neutron star (BNS) mergers or core-collapse supernovae (CCSNe), where thermal and out-of-equilibrium effects play important roles. We develop a method…

On Function-Correcting Codes in the Lee Metric
Gyanendra K. Verma, Abhay Kumar Singh
https://arxiv.org/abs/2507.17654 https://arxiv.org/pdf/2507.17654

On Function-Correcting Codes in the Lee Metric
Function-correcting codes are a coding framework designed to minimize redundancy while ensuring that specific functions or computations of encoded data can be reliably recovered, even in the presence of errors. The choice of metric is crucial in designing such codes, as it determines which computations must be protected and how errors are measured and corrected. Previous work by Liu and Liu [6] studied function-correcting codes over $\mathbb{Z}_{2^l},\ l\geq 2$ using the homogeneous metric, whi…

A novel model class for bowtie biological networks with universal classification properties
Charles A. Johnson (Daniel), Keon Ho (Daniel), Park, Enoch Yeung
https://arxiv.org/abs/2505.13703

A novel model class for bowtie biological networks with universal classification properties
Cell sensory transcription networks are the intracellular computation structure that regulates and drives cellular activity. Activity in these networks determines the the cell's ability to adapt to changes in its environment. Resilient cells successfully identify (classify) and appropriately respond to environmental shifts. We present a model for identification and response to environmental changes in resilient bacteria. This model combines two known motifs in transcription networks: dense over…

Understanding the magnetic field and plasma-$\beta$ along umbral fan loops traced using 3-min slow waves
Ananya Rawat, Girjesh Gupta, Tom Van Doorsselaere, S. Krishna Prasad, Robertus Erd\'elyi
https://arxiv.org/abs/2507.16283

Understanding the magnetic field and plasma-$β$ along umbral fan loops traced using 3-min slow waves
The plasma-$β$ is an important fundamental physical quantity in solar plasma physics, which determines the dominating process in the solar atmosphere, i.e., magnetic or thermodynamic processes. Here, for the first time, we provide variations of magnetic field and plasma-$β$ along magnetically structured loops from the photosphere to the corona. We have selected several fan loops rooted in sunspot umbra observed simultaneously by the Interface Region Imaging Spectrograph and Solar Dynamics Obs…

A Semi-Empirical Descriptor for Open Circuit Voltage
Sourav Baiju, Mark Huijben, Payam Kaghazhi
https://arxiv.org/abs/2507.07760 https://

A Semi-Empirical Descriptor for Open Circuit Voltage
Layered transition metal oxides (TMO) are widely used as cathode materials in Na/Li batteries. The open-circuit voltage (OCV), which determines the energy density (together with capacity), is among the key physical and chemical factors influencing the performance of cathodes. The shape of the voltage profile is also influenced by the formation energy of intermediate phases during cycling. From a theoretical perspective, the formation energy (and voltage) are defined as internal energy differenc…

RoCoF Constrained Regional Inertia Security Region: Formulation and Application
Jiahao Liu, Cheng Wang, Tianshu Bi
https://arxiv.org/abs/2507.15344 https:/…

RoCoF Constrained Regional Inertia Security Region: Formulation and Application
The regional inertia, which determines the regional rate of change of frequency (RoCoF), should be kept in a secure status in renewable-penetrated power systems. To break away from mapping the regional maximum RoCoF with regional inertia in a linearized form, this paper comprehensively studies the regional inertia security problem from formulation to applications. Firstly, the regional inertia security region (R-ISR) is defined, whose boundary is non-linear and non-convex. Then, a local lineari…

Large deviations of ionic currents in dilute electrolytes
Jafar Farhadi, David T. Limmer
https://arxiv.org/abs/2507.18556 https://arxiv.org/pdf/2507.18556

Large deviations of ionic currents in dilute electrolytes
We evaluate the exponentially rare fluctuations of the ionic current for a dilute electrolyte by means of macroscopic fluctuation theory. We consider the fluctuating hydrodynamics of a fluid electrolyte described by a stochastic Poisson-Nernst-Planck equation. We derive the Euler-Lagrange equations that dictate the optimal concentration profiles of ions conditioned on exhibiting a given current, whose form determines the likelihood of that current in the long-time limit. For a symmetric electro…

Stable hopfions in trapped quantum droplets
Zibin Zhao, Guilong Li, Huanbo Luo, Bin Liu, Guihua Chen, Boris A. Malomed, Yongyao Li
https://arxiv.org/abs/2507.10910

Stable hopfions in trapped quantum droplets
Hopfions are a class of three-dimensional (3D) solitons which are built as vortex tori carrying intrinsic twist of the toroidal core. They are characterized by two independent topological charges, \textit{viz}., vorticity $S$ and winding number $M$ of the intrinsic twist, whose product determines the \textit{Hopf number}, $Q_{H}=MS$, which is the basic characteristic of the hopfions. We construct hopfions as solutions of the 3D Gross-Pitaevskii equations (GPEs) for Bose-Einstein condensates in …

Next-User Retrieval: Enhancing Cold-Start Recommendations via Generative Next-User Modeling
Yu-Ting Lan, Yang Huo, Yi Shen, Xiao Yang, Zuotao Liu
https://arxiv.org/abs/2506.15267 …

Next-User Retrieval: Enhancing Cold-Start Recommendations via Generative Next-User Modeling
The item cold-start problem is critical for online recommendation systems, as the success of this phase determines whether high-quality new items can transition to popular ones, receive essential feedback to inspire creators, and thus lead to the long-term retention of creators. However, modern recommendation systems still struggle to address item cold-start challenges due to the heavy reliance on item and historical interactions, which are non-trivial for cold-start items lacking sufficient ex…

First to reach $n$ game
Stanislav Volkov, Magnus Wiktorsson
https://arxiv.org/abs/2506.08782 https://arxiv.org/pdf/2506.08782

First to reach $n$ game
We consider a game with two players, consisting of a number of rounds, where the first player to win $n$ rounds becomes the overall winner. Who wins each individual round is governed by a certain urn having two types of balls (type 1 and type 2). At each round, we randomly pick a ball from the urn, and its type determines which of the two players wins. We study the game under three regimes. In the first and the third regimes, a ball is taken without replacement, whilst in the second regime, it …

PyTICS: An Iterative Method for Photometric Lightcurve Intercalibration using Comparison Stars
Roberta Vieliute, Juan V. Hern\'andez Santisteban, Keith Horne
https://arxiv.org/abs/2505.23328

PyTICS: An Iterative Method for Photometric Lightcurve Intercalibration using Comparison Stars
Intensive reverberation mapping monitoring programs combine ground-based photometric observations from different telescopes, requiring intercalibration of lightcurves to reduce systematic instrumental differences. We present a new iterative algorithm to calibrate photometric time-series data of active galactic nuclei (AGN) using 100s of comparison stars on the same images, building upon the established method of ensemble photometry. The algorithm determines telescope-specific and epoch-specific…

This https://arxiv.org/abs/2408.07958 has been replaced.
initial toot: https://mastoxiv.page/@ar…

Simultaneous imaging of vibrational, rotational, and electronic wave packet dynamics in a triatomic molecule
Light-induced molecular dynamics often involve the excitation of several electronic, vibrational, and rotational states. Since the ensuing electronic and nuclear motion determines the pathways and outcomes of photoinduced reactions, our ability to monitor and understand these dynamics is crucial for molecular physics, physical chemistry, and photobiology. However, characterizing this complex motion represents a significant challenge when different degrees of freedom are strongly coupled. In thi…

On the interplay between inverse scattering for asymptotically hyperbolic manifolds and the Calder\'on problem for the Conformal Laplacian
Sebasti\'an Mu\~noz-Thon
https://arxiv.org/abs/2507.16646

On the interplay between inverse scattering for asymptotically hyperbolic manifolds and the Calderón problem for the Conformal Laplacian
In this short note, we use the relation obtained by Guillarmou--Guillopé and Chang--González between the generalized eigenvalue problem for asymptotically hyperbolic (AH) manifolds and the Conformal Laplacian, to obtain a new inverse scattering result: on an AH manifold of dimension $n+1$, we show that the scattering matrix at energy $\frac{n+1}{2}$ determines the jet of the metric on the boundary, up to a diffeomorphism and conformal factor.

Fundamental Scaling Limit in Critical Quantum Metrology
Ju-Yeon Gyhm, Hyukjoon Kwon, Myung-Joong Hwang
https://arxiv.org/abs/2506.19003 https://

Fundamental Scaling Limit in Critical Quantum Metrology
Critical quantum metrology aims to harness critical properties near quantum phase transitions to enhance parameter estimation precision. However, critical slowing down inherently limits the achievable precision within a finite evolution time. To address this challenge, we establish a fundamental scaling limit of critical quantum metrology with respect to the total evolution time. We find that the winding number of the system's phase space trajectory determines the scaling bound of quantum Fishe…

On symmetry and exterior problems of knotted handlebodies
Yuya Koda, Makoto Ozawa, Yi-Sheng Wang
https://arxiv.org/abs/2506.06713 https://

On symmetry and exterior problems of knotted handlebodies
The paper concerns two classical problems in knot theory pertaining to knot symmetry and knot exteriors. In the context of a knotted handlebody $V$ in a $3$-sphere $S^3$, the symmetry problem seeks to classify the mapping class group of the pair $(S^3,V)$, whereas the exterior problem examines to what extent the exterior $E(V)$ determines or fails to determine the isotopy type of $V$. The paper determines the symmetries of knotted genus two handlebodies arising from hyperbolic knots with non-in…

Inferring Neutron Star Nuclear Properties from Gravitational-Wave and Gamma-Ray Burst Observations
Hsin-Yu Chen, Ore Gottlieb
https://arxiv.org/abs/2506.18151

Inferring Neutron Star Nuclear Properties from Gravitational-Wave and Gamma-Ray Burst Observations
Recent discoveries of long gamma-ray bursts accompanied by kilonova emission prompted interest in understanding their progenitors. If these long-duration bursts arise from neutron star mergers, similar to short gamma-ray bursts, it raises the question of which physical properties govern burst duration. The mass of the merger stands out as a key factor, strongly influencing the lifetime of the merger remnant, which in turn determines the burst duration: lighter mergers that form long-lived remna…

Non-amenability of mapping class groups of infinite-type surfaces and graphs
Yusen Long
https://arxiv.org/abs/2506.06538 https://arxi…

Non-amenability of mapping class groups of infinite-type surfaces and graphs
This paper completely determines the non-amenability of the mapping class groups of infinite-type surfaces, the mapping class groups of locally finite infinite graphs of higher genus, and exhibits a class of mapping class groups of trees that are amenable.

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis
Daniel A. Goldston, Junghun Lee, Jordan Schettler, Ade Irma Suriajaya
https://arxiv.org/abs/2507.06823

Pair Correlation Conjecture for the zeros of the Riemann zeta-function II: The Alternative Hypothesis
In an earlier paper, we proved that Montgomery's Pair Correlation Conjecture (PCC) for zeros of the Riemann zeta-function can be used to prove without the assumption of the Riemann Hypothesis (RH) that asymptotically 100% of the zeros are both simple and on the critical line. This is based on a method of Gallagher and Mueller from 1978. We formulate an appropriate form of the Alternative Hypothesis (AH), which determines a different PCC, and, using the same method as above, prove that asymptoti…

Resource-efficient Variational Block-Encoding
Leon Rullk\"otter, Sebastian Weber, Vamshi Mohan Katukuri, Christian Tutschku, Bharadwaj Chowdary Mummaneni
https://arxiv.org/abs/2507.17658

Resource-efficient Variational Block-Encoding
Block-encoding operators are one of the essential components in quantum algorithms based on Quantum Signal Processing. Their gate complexity largely determines the overall gate complexity of the full algorithm. Using variational methods, we aim to compile block-encoding unitaries with near-optimal resource requirements for a large range of input matrices. We find that the number of variational parameters in the parameterized quantum circuit approaches the number of free parameters in the input …

Identification for Molecular Communication Based on Diffusion Channel with Poisson Reception Process
Yaning Zhao, Luca Miszewski, Christian Deppe, Massimiliano Pierobon
https://arxiv.org/abs/2506.14360

Identification for Molecular Communication Based on Diffusion Channel with Poisson Reception Process
Molecular communication (MC) enables information exchange at the nano- and microscale, with applications in areas like drug delivery and health monitoring. These event-driven scenarios often require alternatives to traditional transmission. Identification communication, introduced by Ahlswede and Dueck, offers such an approach, in which the receiver only determines whether a specific message was sent, suiting resource-limited and event-triggered systems. This paper combines MC with identificati…

Stability of Gel'fand's inverse interior spectral problem for Schr\"odinger operators
Jinpeng Lu
https://arxiv.org/abs/2507.15560 https://

Stability of Gel'fand's inverse interior spectral problem for Schrödinger operators
We study Gel'fand's inverse interior spectral problem of determining a closed Riemannian manifold $(M,g)$ and a potential function $q$ from the knowledge of the eigenvalues $λ_j$ of the Schrödinger operator $-Δ_g + q$ and the restriction of the eigenfunctions $ϕ_j|_U$ on a given open subset $U\subset M$, where $Δ_g$ is the Laplace-Beltrami operator on $(M,g)$. We prove that an approximation of finitely many spectral data on $U$ determines a finite metric space that is close to $(M,g)$…

Accuracy and stability of the accelerated multi-direct-forcing immersed boundary method
Kosuke Suzuki, Emmanouil Falagkaris, Timm Kr\"uger, Takaji Inamuro
https://arxiv.org/abs/2507.04986

Accuracy and stability of the accelerated multi-direct-forcing immersed boundary method
The multi-direct-forcing immersed boundary method allows for high accuracy of the no-slip condition in moving-particle problems but suffers from numerical instability if simulation parameters are not carefully chosen. This study investigates the numerical accuracy and stability of the accelerated multidirect-forcing immersed boundary method. An analysis of the discretized equations of body motion in moving boundary problems identifies a critical parameter that solely determines the numerical st…

From i-boxes to signed words
Alessandro Contu, Fan Qin, Qiaoling Wei
https://arxiv.org/abs/2507.06182 https://arxiv.org/pdf/2507.0618…

From i-boxes to signed words
The combinatorics of i-boxes has recently been introduced by Kashiwara--Kim--Oh--Park in the study of cluster algebras arising from the representation theory of quantum affine algebras. In this article, we associate to each chain of i-boxes a signed word, which canonically determines a cluster seed following Berenstein--Fomin--Zelevinsky. By bridging these two different languages, we are able to provide a quick solution to the problem of explicit determining the exchange matrices associated wit…

SPEAR: Subset-sampled Performance Evaluation via Automated Ground Truth Generation for RAG
Zou Yuheng, Wang Yiran, Tian Yuzhu, Zhu Min, Huang Yanhua
https://arxiv.org/abs/2507.06554

SPEAR: Subset-sampled Performance Evaluation via Automated Ground Truth Generation for RAG
Retrieval-Augmented Generation (RAG) is a core approach for enhancing Large Language Models (LLMs), where the effectiveness of the retriever largely determines the overall response quality of RAG systems. Retrievers encompass a multitude of hyperparameters that significantly impact performance outcomes and demonstrate sensitivity to specific applications. Nevertheless, hyperparameter optimization entails prohibitively high computational expenses. Existing evaluation methods suffer from either p…

Synthesizing Min-Max Control Barrier Functions For Switched Affine Systems
Sara Kamali, Guillaume O. Berger, Sriram Sankaranarayanan
https://arxiv.org/abs/2506.10296

Synthesizing Min-Max Control Barrier Functions For Switched Affine Systems
We study the problem of synthesizing non-smooth control barrier functions (CBFs) for continuous-time switched affine systems. Switched affine systems are defined by a set of affine dynamical modes, wherein the control consists of a state-based switching signal that determines the current operating mode. The control barrier functions seek to maintain the system state inside a control invariant set that excludes a given set of unsafe states. We consider CBFs that take the form of pointwise minima…

The equilibrium distribution function for strongly nonlinear systems
Jialin Zhang, Yong Zhang, Hong Zhao
https://arxiv.org/abs/2507.07600 https://

The equilibrium distribution function for strongly nonlinear systems
The equilibrium distribution function determines macroscopic observables in statistical physics. While conventional methods correct equilibrium distributions in weakly nonlinear or near-integrable systems, they fail in strongly nonlinear regimes. We develop a framework to get the equilibrium distributions and dispersion relations in strongly nonlinear many-body systems, incorporating corrections beyond the random phase approximation and capturing intrinsic nonlinear effects. The theory is verif…

In situ studies of a molten metal anode ablation in a nearly atmospheric pressure DC arc
Stanislav Musikhin, Valerian Nemchinsky, Hengfei Gu, Bruce E. Koel, Yevgeny Raitses
https://arxiv.org/abs/2506.11308

In situ studies of a molten metal anode ablation in a nearly atmospheric pressure DC arc
A DC arc with a meltable metal anode in a near-atmospheric pressure hydrocarbon gas is an emerging method for producing single-walled carbon nanotubes (SWCNTs). In these systems, evaporation of the molten metal anode determines the formation of catalyst seed particles needed for SWCNT growth, and therefore, should be monitored, controlled, and optimized. Evaluating the anode ablation rate by weighing the anode before and after a synthesis run is unfeasible due to anode carburization in the hydr…

This https://arxiv.org/abs/2505.08752 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Three Tone Networks and a Tessellation
The Eulerian tonnetz, which associates three minor chords to each major chord and three major chords to each minor chord, can be represented by a bipartite graph with twelve white vertices signifying major chords and twelve black vertices signifying minor chords. This so-called Levi graph uniquely determines the combinatorial geometry of a remarkable configuration of twelve points and twelve lines in the real projective plane with the property that three points lie on each line and three lines …

Bifurcation in dynamic problems with seasonal succession
Gonzalo Galiano, Juli\'an Velasco
https://arxiv.org/abs/2507.05694 https://

Bifurcation in dynamic problems with seasonal succession
We investigate the bifurcation structure of equilibria in a class of non-autonomous ordinary differential equations governed by a season length parameter, $τ$, which determines the alternation between growth and decline dynamics. This structure models biological systems exhibiting seasonal variation, such as insect population dynamics or infectious disease transmission. Using the Crandall-Rabinowitz bifurcation theorem, we establish the existence of a critical threshold $τ^*$ at which a bif…

Compressibility of Confined Fluids from Volume Fluctuations
Jason Ogbebor, Santiago A. Flores Roman, Geordy Jomon, Gennady Y. Gor
https://arxiv.org/abs/2507.07020

Compressibility of Confined Fluids from Volume Fluctuations
When fluids are confined in nanopores, many of their properties deviate from bulk. These include bulk modulus, or compressibility, which determines the mechanical properties of fluid-saturated porous solids. Such properties are of importance for exploration and recovery of coal-bed methane and shale gas. We developed a new molecular simulation method for calculating compressibility of confined fluids, and applied it to methane in carbon nanopores. The method is based on volume fluctuations in t…