Tootfinder

Cubic graphs with no eigenvalues in the interval (-2,0)
Krystal Guo, Gordon F. Royle
https://arxiv.org/abs/2506.05861 https://arxiv.o…

Cubic graphs with no eigenvalues in the interval (-2,0)
We give a complete characterisation of the cubic graphs with no eigenvalues in the interval $(-2,0)$. There is one thin infinite family consisting of a single graph on $6n$ vertices for each $n \geqslant 2$, and five ``sporadic'' graphs, namely the $3$-prism $K_3 \mathbin{\square} K_2$, the complete bipartite graph $K_{3,3}$, the Petersen graph, the dodecahedron and Tutte's $8$-cage. The proof starts by observing that if a cubic graph has no eigenvalues in $(-2,0)$ then its local structure arou…

$\text{C}^{2}\text{BNVAE}$: Dual-Conditional Deep Generation of Network Traffic Data for Network Intrusion Detection System Balancing
Yifan Zeng
https://arxiv.org/abs/2506.05844

$\text{C}^{2}\text{BNVAE}$: Dual-Conditional Deep Generation of Network Traffic Data for Network Intrusion Detection System Balancing
Network Intrusion Detection Systems (NIDS) face challenges due to class imbalance, affecting their ability to detect novel and rare attacks. This paper proposes a Dual-Conditional Batch Normalization Variational Autoencoder ($\text{C}^{2}\text{BNVAE}$) for generating balanced and labeled network traffic data. $\text{C}^{2}\text{BNVAE}$ improves the model's adaptability to different data categories and generates realistic category-specific data by incorporating Conditional Batch Normalization (C…

Movie Facts and Fibs (MF$^2$): A Benchmark for Long Movie Understanding
Emmanouil Zaranis, Ant\'onio Farinhas, Saul Santos, Beatriz Canaverde, Miguel Moura Ramos, Aditya K Surikuchi, Andr\'e Viveiros, Baohao Liao, Elena Bueno-Benito, Nithin Sivakumaran, Pavlo Vasylenko, Shoubin Yu, Sonal Sannigrahi, Wafaa Mohammed, Ben Peters, Danae S\'anchez Villegas, Elias Stengel-Eskin, Giuseppe Attanasio, Jaehong Yoon, Stella Frank, Alessandro Suglia, Chrysoula Zerva, Desmond Elliott, M…

Movie Facts and Fibs (MF$^2$): A Benchmark for Long Movie Understanding
Despite recent progress in vision-language models (VLMs), holistic understanding of long-form video content remains a significant challenge, partly due to limitations in current benchmarks. Many focus on peripheral, ``needle-in-a-haystack'' details, encouraging context-insensitive retrieval over deep comprehension. Others rely on large-scale, semi-automatically generated questions (often produced by language models themselves) that are easier for models to answer but fail to reflect genuine und…

[2025-06-09 Mon (UTC), 2 new articles found for cs.FL Formal Languages and Automata Theory]
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[2025-06-09 Mon (UTC), 2 new articles found for cs.DB Databases]
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Competing Interactions and the Effects of Uniaxial Out-of-plane Perturbations in the Honeycomb Antiferromagnet Na$_2$Co$_2$TeO$_6$
J. Arneth, R. Kalaivanan, R. Sankar, K. -Y. Choi, R. Klingeler
https://arxiv.org/abs/2506.06189

Competing Interactions and the Effects of Uniaxial Out-of-plane Perturbations in the Honeycomb Antiferromagnet Na$_2$Co$_2$TeO$_6$
Despite exhibiting magnetic long-range order below $T_\mathrm{N} = 26.7\,\mathrm{K}$, the honeycomb cobaltate Na$_2$Co$_2$TeO$_6$ is predicted to enter a Kitaev spin liquid state when subjected to small external perturbations. While most of the reported literature investigates the effects of magnetic fields applied parallel to the honeycomb layers, we present high-resolution capacitance dilatometry studies for fields perpendicular to the Co-planes up to $15\,\mathrm{T}$. Grüneisen analysis rev…

[2025-06-09 Mon (UTC), 2 new articles found for cs.AR Hardware Architecture]
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Reusing Trajectories in Policy Gradients Enables Fast Convergence
Alessandro Montenegro, Federico Mansutti, Marco Mussi, Matteo Papini, Alberto Maria Metelli
https://arxiv.org/abs/2506.06178

Reusing Trajectories in Policy Gradients Enables Fast Convergence
Policy gradient (PG) methods are a class of effective reinforcement learning algorithms, particularly when dealing with continuous control problems. These methods learn the parameters of parametric policies via stochastic gradient ascent, typically using on-policy trajectory data to estimate the policy gradient. However, such reliance on fresh data makes them sample-inefficient. Indeed, vanilla PG methods require $O(ε^{-2})$ trajectories to reach an $ε$-approximate stationary point. A common …

[2025-06-09 Mon (UTC), 2 new articles found for math.QA Quantum Algebra]
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Properties of slow magneto-acoustic waves observed simultaneously using Hi-C 2.1 and AIA
Suraj K. Tripathy, S. Krishna Prasad, D. Banerjee
https://arxiv.org/abs/2506.06126

Properties of slow magneto-acoustic waves observed simultaneously using Hi-C 2.1 and AIA
Propagating slow magneto-acoustic waves are commonly observed in different coronal structures but are most prominent in active region fan loops. Their rapid damping with damping lengths of the order of a wavelength has been investigated in the past by several authors. Although different physical mechanisms have been proposed, significant discrepancies between the theory and observations remain. Recent high-resolution observations captured simultaneously by two different instruments reveal disti…

DesignBench: A Comprehensive Benchmark for MLLM-based Front-end Code Generation
Jingyu Xiao, Ming Wang, Man Ho Lam, Yuxuan Wan, Junliang Liu, Yintong Huo, Michael R. Lyu
https://arxiv.org/abs/2506.06251

DesignBench: A Comprehensive Benchmark for MLLM-based Front-end Code Generation
Multimodal Large Language Models (MLLMs) have demonstrated remarkable capabilities in automated front-end engineering, e.g., generating UI code from visual designs. However, existing front-end UI code generation benchmarks have the following limitations: (1) While framework-based development becomes predominant in modern front-end programming, current benchmarks fail to incorporate mainstream development frameworks. (2) Existing evaluations focus solely on the UI code generation task, whereas p…

[2025-06-09 Mon (UTC), 2 new articles found for econ.EM Econometrics]
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An improved upper bound for the second eigenvalue on tori
Fan Kang
https://arxiv.org/abs/2506.05846 https://arxiv.org/pdf/2506.05846

An improved upper bound for the second eigenvalue on tori
In this paper, we consider the problem of maximizing the second non-zero eigenvalue $λ_2(T,g)$ of the Laplace-Beltrami operator on a torus $(T,g)$, among all unit-area metrics in a fixed conformal class. Based on work by Karpukhin-Stern and Eddaoudi-Girouard, we give an explicit upper bound for $λ_2(T,g)$ in a fixed conformal class of the torus. Our bound improves previous estimates based on conformal area and shows that, in the majority of conformal classes, the second eigenvalue is strictly…

[2025-06-09 Mon (UTC), 2 new articles found for math.PR Probability]
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Can LLMs Talk 'Sex'? Exploring How AI Models Handle Intimate Conversations
Huiqian Lai
https://arxiv.org/abs/2506.05514 https://

Can LLMs Talk 'Sex'? Exploring How AI Models Handle Intimate Conversations
This study examines how four prominent large language models (Claude 3.7 Sonnet, GPT-4o, Gemini 2.5 Flash, and Deepseek-V3) handle sexually oriented requests through qualitative content analysis. By evaluating responses to prompts ranging from explicitly sexual to educational and neutral control scenarios, the research reveals distinct moderation paradigms reflecting fundamentally divergent ethical positions. Claude 3.7 Sonnet employs strict and consistent prohibitions, while GPT-4o navigates u…

[2025-06-09 Mon (UTC), 2 new articles found for physics.atom-ph Atomic Physics]
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The Artificial Benchmark for Community Detection with Outliers and Overlapping Communities (ABCD $o^2$)
Jordan Barrett, Ryan DeWolfe, Bogumi{\l} Kami\'nski, Pawe{\l} Pra{\l}at, Aaron Smith, Fran\c{c}ois Th\'eberge
https://arxiv.org/abs/2506.05486

The Artificial Benchmark for Community Detection with Outliers and Overlapping Communities (ABCD+$o^2$)
The Artificial Benchmark for Community Detection (ABCD) graph is a random graph model with community structure and power-law distribution for both degrees and community sizes. The model generates graphs similar to the well-known LFR model but it is faster, more interpretable, and can be investigated analytically. In this paper, we use the underlying ingredients of the ABCD model, and its generalization to include outliers (ABCD+$o$), and introduce another variant that allows for overlapping com…

[2025-06-09 Mon (UTC), 2 new articles found for physics.ins-det Instrumentation and Detectors]
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Kilobyte-Scale, Selector-Free, Temperature-Hard AlScN Ferroelectric Diode Crossbar Arrays
Zirun Han, Chao-Chuan Chen, Dhiren K. Pradhan, David C. Moore, Ravali Gudavalli, Xindi Yang, Kwan-Ho Kim, Hyunmin Cho, Zachary Anderson, Spencer Ware, Harsh Yellai, W. Joshua Kennedy, Nicholas R. Glavin, Roy H. Olsson III, Deep Jariwala
https://

Kilobyte-Scale, Selector-Free, Temperature-Hard AlScN Ferroelectric Diode Crossbar Arrays
We report the fabrication and characterization of kilobyte-scale, selector-free, ferroelectric (FE) diode crossbar memory arrays based on aluminum scandium nitride (AlScN). Utilizing a fully CMOS back-end-of-line (BEOL) compatible process, we fabricated 2-kilobyte (128 $\times$ 128) arrays with device diameters down to 5 $μ$m, achieving memory densities up to 2500 bits/mm$^2$. Large-scale electrical characterization across 1000 randomly selected devices reveals a yield rate of 95.2%, a tight s…

TinyML-Based Adaptive Pulse Shaping for Edge Intelligence in IoT/IIoT
Afan Ali
https://arxiv.org/abs/2506.05789 https://arxiv.org/pdf…

TinyML-Based Adaptive Pulse Shaping for Edge Intelligence in IoT/IIoT
Edge intelligence in IoT and IIoT demands lightweight algorithms for data processing on resource-constrained devices. This paper introduces a novel adaptive pulse shape filter based on TinyML for PAPR and SER optimization on edge devices used in uplink IoT communication. Implemented on IoT nodes such as sensors, our pruned neural network provides up to 2 dB PAPR saving over root-raised-cosine (RRC) filters. Mass simulations validate its efficacy in DFT-s-OFDM systems and offer an energy-efficie…

Quantitative stability control of the full spectrum of the Dirichlet Laplacian by the second eigenvalue
Alexis de Villeroch\'e
https://arxiv.org/abs/2506.05870

Quantitative stability control of the full spectrum of the Dirichlet Laplacian by the second eigenvalue
Let $Ω\subset \mathbb{R}^d$ be an open set of finite measure and let $Θ$ be a disjoint union of two balls of half measure. We study the stability of the full Dirichlet spectrum of $Ω$ when its second eigenvalue is close to the second eigenvalue of $Θ$. Precisely, for every $k \in \mathbb{N}$, we provide a quantitative control of the difference $|λ_k(Ω)-λ_k(Θ)|$ by the variation of the second eigenvalue $C(d,k)(λ_2(Ω)-λ_2(Θ))^α$, for a suitable exponent $α$ and a positive…

On the modular cohomology of $GL_2(\mathbb{Z}/p^n)$ and $SL_2(\mathbb{Z}/p^n)$
Anja Meyer
https://arxiv.org/abs/2506.04720 https://ar…

On the modular cohomology of $GL_2(\mathbb{Z}/p^n)$ and $SL_2(\mathbb{Z}/p^n)$
Let $p$ be an odd prime. Denote a Sylow $p$-subgroup of $GL_2(\mathbb{Z}/p^n)$ and $SL_2(\mathbb{Z}/p^n)$ by $S_p(n,GL)$ and $S_p(n,SL)$ respectively. The theory of stable elements tells us that the mod-$p$ cohomology of a finite group is given by the stable elements of the mod-$p$ cohomology of it's Sylow $p$-subgroup. We prove that for suitable group extensions of $S_p(n,GL)$ and $S_p(n,SL)$ the $E_2$-page of the Lyndon-Hochschild-Serre spectral sequence associated to these extensions does no…

Synchronous Clock and RF Carrier Transmission for Radio Access Network Fronthaul
Kari Aaron Clark, Zun Htay, Zichuan Zhou, Amany Kassem, Andrea Pertoldi, Benjamin Rudin, Florian Emaury, Izzat Darwazeh, Zhixin Liu
https://arxiv.org/abs/2506.05811

Synchronous Clock and RF Carrier Transmission for Radio Access Network Fronthaul
We simultaneously achieve clock synchronisation, clock-synchronised data transmission and ultra-low noise RF carrier generation by combining clock phase caching and frequency comb transmission in radio access networks (RAN). We demonstrate <100fs jitter for 25GHz RF carrier and 2.5GHz clock, and 16-hour 6.6ps RMS wander.

Reaction Dynamics for the [NNO] System from State-Resolved and Coarse-Grained Models
Juan Carlos San Vicente Veliz, Sung Min Jo, Jingchun Wang, Raymond J. Bemish, Markus Meuwly
https://arxiv.org/abs/2506.06146

Reaction Dynamics for the [NNO] System from State-Resolved and Coarse-Grained Models
The dynamics for the NO($X^2 Π$) + N($^4$S) $\leftrightarrow$ N$_{2}(X^{1}Σ_{g}^{+}$) + O($^{3}$P) reaction was followed in the $^3$A' electronic state using state-to-state (STS) and Arrhenius-based rates from two different high-level potential energy surfaces represented as a reproducing kernel (RKHS) and permutationally invariant polynomials (PIPs). Despite the different number of bound states supported by the RKHS- and PIP-PESs the ignition points from STS and Arrhenius rates are at $\sim …

[2025-06-09 Mon (UTC), no new articles found for q-bio.SC Subcellular Processes]
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Enumerating planar stuffed maps as hypertrees of mobiles
Nathan Pagliaroli
https://arxiv.org/abs/2506.06086 https://arxiv.org/pdf/250…

Enumerating planar stuffed maps as hypertrees of mobiles
A planar stuffed map is an embedding of a graph into the 2-sphere $S^{2}$, considered up to orientation-preserving homeomorphisms, such that the complement of the graph is a collection of disjoint topologically connected components that are each homeomorphic to $S^{2}$ with multiple boundaries. This is a generalization of planar maps whose complement of the graph is a collection of disjoint topologically connected components that are each homeomorphic to a disc. In this work, we construct a bij…

Structure functions and flatness of streamwise velocity in a turbulent channel flow
Carlos Granero-Belinchon (ODYSSEY, IMT Atlantique - MEE, Lab-STICC\_OSE), St\'ephane G. Roux (Phys-ENS), Nicolas B. Garnier (Phys-ENS)
https://arxiv.org/abs/2506.05436

Structure functions and flatness of streamwise velocity in a turbulent channel flow
In this article, we present a multiscale characterization of the streamwise velocity of a turbulent channel flow. We study the 2nd and 4th order structure functions and the flatness for scales ranging from the dissipative to the integral domains and for a wide range of distances to the walls spanning four distinct regions of the channel. We characterize the impact of the shear stress induced by the walls on these statistics. Far from the walls, in the outer layer, the impact of the boundaries o…

This https://arxiv.org/abs/2410.10884 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On evaluation of the lattice sum $\frac{1}{|x||y||x+y|}$
We study lattice sums $\sum 1/|x||y||x+y|$ and $\sum 1/|x|^2|y|^2|x+y|^2$ taken over the pairs $(x,y)$ of primitive lattice vectors in $\ZZ^2$ that span a parallelogram of area one. We prove convergence of these and similar sums, propose a new method to evaluate $\sum 1/|x|^2|y|^2|x+y|^2$, which, in turn, gives a new and simple proof of Zagier's formula for $D_{1,1,1}$.

This https://arxiv.org/abs/2505.21611 has been replaced.
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Disturbing news about the $d=2+ε$ expansion
The $O(N)$ Non-Linear Sigma Model (NLSM) in $d=2+ε$ has long been conjectured to describe the same conformal field theory (CFT) as the Wilson-Fisher (WF) $O(N)$ fixed point obtained from the $λ(ϕ^2)^2$ model in $d=4-ε$. In this work, we put this conjecture into question, building on the recent observation [Jones (2024)] that the NLSM CFT possesses a protected operator with dimension $N-1$, which is instead absent in the WF $O(N)$ CFT. For $N=3$, we investigate the possibility of lifting thi…

[2025-06-09 Mon (UTC), 2 new articles found for q-bio.PE Populations and Evolution]
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FERRET: Private Deep Learning Faster And Better Than DPSGD
David Zagardo
https://arxiv.org/abs/2506.05416 https://arxiv.org/pdf/2506.…

FERRET: Private Deep Learning Faster And Better Than DPSGD
We revisit 1-bit gradient compression through the lens of mutual-information differential privacy (MI-DP). Building on signSGD, we propose FERRET--Fast and Effective Restricted Release for Ethical Training--which transmits at most one sign bit per parameter group with Bernoulli masking. Theory: We prove each fired group leaks at most ln 2 nats; after subsampling with rate s, the total privacy loss of G groups trained for T steps with firing probability p is epsilon = G * T * s * p * ln 2. Thu…

Computing $H$-equations with 2-by-2 integral matrices
Gemma Bastardas, Enric Ventura
https://arxiv.org/abs/2506.05272 https://arxiv.o…

Computing $H$-equations with 2-by-2 integral matrices
We study the transference through finite index extensions of the notion of equational coherence, as well as its effective counterpart. We deduce an explicit algorithm for solving the following algorithmic problem about size two integral invertible matrices: ''given $h_1,\ldots, h_r; g\in \operatorname{PSL}_2(\mathbb{Z})$, decide whether $g$ is algebraic over the subgroup $H=\langle h_1,\ldots ,h_r\rangle \leqslant \operatorname{PSL}_2(\mathbb{Z})$ (i.e., whether there exist a non-trivial $H$-eq…

Towards Lifecycle Unlearning Commitment Management: Measuring Sample-level Unlearning Completeness
Cheng-Long Wang, Qi Li, Zihang Xiang, Yinzhi Cao, Di Wang
https://arxiv.org/abs/2506.06112

Towards Lifecycle Unlearning Commitment Management: Measuring Sample-level Unlearning Completeness
Growing concerns over data privacy and security highlight the importance of machine unlearning--removing specific data influences from trained models without full retraining. Techniques like Membership Inference Attacks (MIAs) are widely used to externally assess successful unlearning. However, existing methods face two key limitations: (1) maximizing MIA effectiveness (e.g., via online attacks) requires prohibitive computational resources, often exceeding retraining costs; (2) MIAs, designed f…

This https://arxiv.org/abs/2404.11841 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLO_…

On the Unprovability of Circuit Size Bounds in Intuitionistic $\mathsf{S}^1_2$
We show that there is a constant $k$ such that Buss's intuitionistic theory $\mathsf{IS}^1_2$ does not prove that SAT requires co-nondeterministic circuits of size at least $n^k$. To our knowledge, this is the first unconditional unprovability result in bounded arithmetic in the context of worst-case fixed-polynomial size circuit lower bounds. We complement this result by showing that the upper bound $\mathsf{NP} \subseteq \mathsf{coNSIZE}[n^k]$ is unprovable in $\mathsf{IS}^1_2$. In order to…

Magnetism in $M_{1/3}$NbS$_2$ ($M$ = Fe, V, Mn): insight into intercalated transition-metal dichalcogenides using $\mu$SR
N. P. Bentley, T. L. Breeze, A. Hern\'andez-Meli\'an, T. J. Hicken, B. M. Huddart, F. L. Pratt, A. E. Hall, D. A. Mayoh, G. Balakrishnan, S. J. Clark, T. Lancaster
https://arxiv.org/abs/2506.06111

Magnetism in $M_{1/3}$NbS$_2$ ($M$ = Fe, V, Mn): insight into intercalated transition-metal dichalcogenides using $μ$SR
We present the results of muon-spin relaxation ($μ$SR) measurements of the static and dynamic magnetism of $M_{1/3}$NbS$_2$ ($M$ = Fe, V, Mn), three intercalated transition-metal dichalcogenides. Transitions to long-range magnetic order are observed in all three materials and local magnetic fields at muon sites are compared to dipole field calculations. Measurements on Fe$_{1/3}$NbS$_2$ capture the evolution of two coexisting magnetic phases. In V$_{1/3}$NbS$_2$ we observe a peak in the dynami…

This https://arxiv.org/abs/2503.09920 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Black-bounce solutions in a k-essence theory under the effects of bumblebee gravity
In the present study, we analyze the effects of violation of Lorentz symmetry for black-bounce solutions in a $k$-essence theory that has the form of a power law for the configuration $n=1/3$. We perform such analysis for a known model explored in previous work $Σ^2=x^2+a^2$ and complement the proposal with a new black-bounce model for the area functions $Σ^2_1=\sqrt{x^4+d^4}$. This model has the Schwarzschild-de Sitter asymptomatic behavior for $x\to{-\infty}$, and we investigate the scalar …

This https://arxiv.org/abs/2506.01135 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

$\text{TREX}^2$: Dual-Reconstruction Framework for Teleoperated-Robot with EXtended Reality
Robot teleoperation with extended reality (XR teleoperation) enables intuitive interaction by allowing remote robots to mimic user motions with real-time 3D feedback. However, existing systems face significant motion-to-motion (M2M) latency--the delay between the user's latest motion and the corresponding robot feedback--leading to high teleoperation error and mission completion time. This issue stems from the system's exclusive reliance on network communication, making it highly vulnerable to …

I find it so funny that Dell had a sweepstakes to promote their deals page but forgot to add RNG so everyone who entered won a prize until they shut it down after 2 days

This https://arxiv.org/abs/2406.15909 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Fibred surfaces and their unitary rank
Let $f\colon S\to B$ a complex fibred surface with fibres of genus $g\geq 2$. Let $u_f$ be its unitary rank, i.e., the rank of the maximal unitary summand of the Hodge bundle $f_*ω_f$. We prove many new slope inequalities involving $u_f$ and some other invariants of the fibration. As applications: (1) we prove a new Xiao-type bound on $u_f$ with respect to $g$ for non-isotrivial fibrations: \[ u_f< g\frac{5g-2}{6g-3}. \] In particular this implies that if $f$ is not locally trivial and $u_f=…

This https://arxiv.org/abs/2406.13785 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Efficient Implementation of a Quantum Search Algorithm for Arbitrary N
This paper presents an enhancement to Grover's search algorithm for instances where the number of items (or the size of the search problem) $N$ is not a power of 2. By employing an efficient algorithm for the preparation of uniform quantum superposition states over a subset of the computational basis states, we demonstrate that a considerable reduction in the number of oracle calls (and Grover's iterations) can be achieved in many cases. For special cases (i.e., when $N$ is of the form such tha…

Atomic scale structure and dynamical properties of (TeO$_2$)$_{1-x}$-(Na$_2$O)$_{x}$ glasses through first-principles modeling and XRD measurements
Firas Shuaib, Assil Bouzid, Remi Piotrowski, Gaelle Delaizir, Pierre-Marie Geffroy, David Hamani, Raghvender Raghvender, Steve Dave Wansi Wendji, Carlo Massobrio, Mauro Boero, Guido Ori, Philippe Thomas, Olivier Masson

Atomic scale structure and dynamical properties of (TeO$_2$)$_{1-x}$-(Na$_2$O)$_{x}$ glasses through first-principles modeling and XRD measurements
We resort to first-principles molecular dynamics, in synergy with experiments, to study structural evolution and Na$^+$ cation diffusion inside (TeO$_2$)$_{1-x}$-(Na$_2$O)$_{x}$ (x = 0.10-0.40) glasses. Experimental and modeling results show a fair quantitative agreement in terms of total X-ray structure factors and pair distribution functions, thereby setting the ground for a comprehensive analysis of the glassy matrix evolution. We find that the structure of (TeO$_2$)$_{1-x}$-(Na$_2$O)$_{x}$ …

A Real K3 Automorphism with Most of Its Entropy in the Real Part
Ethan Cohen
https://arxiv.org/abs/2506.03479 https://arxiv.org/pdf/2…

A Real K3 Automorphism with Most of Its Entropy in the Real Part
This article describes an example of a real projective K3 surface admitting a real automorphism $f$ satisfying $h_{top}(f, X(\mathbb{C})) < 2 h_{top}(f, X(\mathbb{R}))$. The example presented is a $(2,2,2)$-surface in $\mathbb{P}^1 \times \mathbb{P}^1 \times \mathbb{P}^1$ given by the vanishing set of $(1 + x^2)(1 + y^2)(1 + z^2) + 10xyz - 2$, first considered by McMullen. Along the way, we develop an ad hoc shadowing lemma for $C^2$ (real) surface diffeomorphisms, and apply it to estimate the …

This https://arxiv.org/abs/2506.04119 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Exploring over 700 massive quiescent galaxies at z = 2-7: Demographics and stellar mass functions
High-redshift ($z>2$) massive quiescent galaxies are crucial tests of early galaxy formation and evolutionary mechanisms through their cosmic number densities and stellar mass functions (SMFs). We explore a sample of 745 massive ($\rm M_*> 10^{9.5}M_\odot$) quiescent galaxies from $z=2-7$ in over 800 arcmin$^2$ of NIRCam imaging from a compilation of public JWST fields (with a total area $>$ 5 $\times$ previous JWST studies). We compute and report their cosmic number densities, stellar mass fun…

This https://arxiv.org/abs/2502.01760 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Type-II Seesaw Mechanism for Dirac Neutrinos and its Implications on $N_{\text{eff}}$ and Lepton Flavor Violation in a 3-3-1 model
In this study, we implement the type-II seesaw mechanism for Dirac neutrino masses within the framework of a 3-3-1 model. To this end, we introduce a scalar sextet and impose both lepton number conservation and invariance under a discrete $Z_2$ symmetry in the Lagrangian. This mechanism naturally generates small Dirac neutrino masses by allowing the soft breaking of the $Z_2$ symmetry through a unique term in the scalar potential, while preserving lepton number. Specifically, we explore the rea…

This https://arxiv.org/abs/2505.24739 has been replaced.
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Contrast-Invariant Self-supervised Segmentation for Quantitative Placental MRI
Accurate placental segmentation is essential for quantitative analysis of the placenta. However, this task is particularly challenging in T2*-weighted placental imaging due to: (1) weak and inconsistent boundary contrast across individual echoes; (2) the absence of manual ground truth annotations for all echo times; and (3) motion artifacts across echoes caused by fetal and maternal movement. In this work, we propose a contrast-augmented segmentation framework that leverages complementary infor…

This https://arxiv.org/abs/2502.11753 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csAI_…

HintsOfTruth: A Multimodal Checkworthiness Detection Dataset with Real and Synthetic Claims
Misinformation can be countered with fact-checking, but the process is costly and slow. Identifying checkworthy claims is the first step, where automation can help scale fact-checkers' efforts. However, detection methods struggle with content that is (1) multimodal, (2) from diverse domains, and (3) synthetic. We introduce HintsOfTruth, a public dataset for multimodal checkworthiness detection with 27K real-world and synthetic image/claim pairs. The mix of real and synthetic data makes this dat…

This https://arxiv.org/abs/2405.04406 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csIT_…

Rényi divergence guarantees for hashing with linear codes
We consider the problem of distilling uniform random bits from an unknown source with a given $p$-entropy using linear hashing. As our main result, we estimate the expected $p$-divergence from the uniform distribution over the ensemble of random linear codes for all integer $p\ge 2$. The proof relies on analyzing how additive noise, determined by a random element of the code from the ensemble, acts on the source distribution. This action leads to the transformation of the source distribution in…

Concentration profiles of OH and H$_2$O$_2$ in plasma-treated water: influence of power, gas mixture and treatment distance
Anna Lena Sch\"one, Steffen Sch\"uttler, Talisha Mro{\ss}, Niklas Eichstaedt, Judith Golda, Lars Sch\"ucke, Andrew R. Gibson
https://arxiv.org/abs/2506.03886

Concentration profiles of OH and H$_2$O$_2$ in plasma-treated water: influence of power, gas mixture and treatment distance
Plasma liquid interactions are important for a range of applications. For these, H$_2$O$_2$ and OH represent two key reactive species, whose concentrations in liquids need to be controlled for effective application outcomes. Here, a combination of gas and liquid simulations is used to study the concentration profiles of H$_2$O$_2$ and OH in water treated by a radio-frequency-driven plasma jet, with a glass capillary between the electrodes, operated in He with admixtures of water vapour. Simulat…

This https://arxiv.org/abs/2411.07970 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

MUltiplexed Survey Telescope: Perspectives for Large-Scale Structure Cosmology in the Era of Stage-V Spectroscopic Survey
The MUltiplexed Survey Telescope (MUST) is a 6.5-meter telescope under development. Dedicated to highly-multiplexed, wide-field spectroscopic surveys, MUST observes over 20,000 targets simultaneously using 6.2-mm pitch positioning robots within a ~5 deg$^2$ field of view. MUST aims to conduct the first Stage-V spectroscopic survey in the 2030s, mapping the 3D Universe with over 100 million galaxies and quasars, spanning from the nearby Universe to a redshift of z ~ 5.5, corresponding to approxi…

[2025-06-06 Fri (UTC), 2 new articles found for math.LO Logic]
#toXiv_bot_toot

Lumina: Real-Time Mobile Neural Rendering by Exploiting Computational Redundancy
Yu Feng, Weikai Lin, Yuge Cheng, Zihan Liu, Jingwen Leng, Minyi Guo, Chen Chen, Shixuan Sun, Yuhao Zhu
https://arxiv.org/abs/2506.05682

Lumina: Real-Time Mobile Neural Rendering by Exploiting Computational Redundancy
3D Gaussian Splatting (3DGS) has vastly advanced the pace of neural rendering, but it remains computationally demanding on today's mobile SoCs. To address this challenge, we propose Lumina, a hardware-algorithm co-designed system, which integrates two principal optimizations: a novel algorithm, S^2, and a radiance caching mechanism, RC, to improve the efficiency of neural rendering. S2 algorithm exploits temporal coherence in rendering to reduce the computational overhead, while RC leverages th…

First-eigenvalue maximization and inflation of maps
Shin Nayatani
https://arxiv.org/abs/2506.05681 https://arxiv.org/pdf/2506.05681…

First-eigenvalue maximization and inflation of maps
Given a compact manifold equipped with a volume element and a Riemannian metric, we formulate and study a dual pair of optimization problems: one concerning smooth maps from the manifold into the Hilbert space $l^2$ and the other concerning the smallest positive eigenvalue of the Bakry-Emery Laplacian. We present examples of manifolds for which these problems can be solved explicitly. We also prove a Nadirashvili-type theorem.

On the domination of surface-group representations in $\mathrm{PU}(2,1)$
Pabitra Barman, Krishnendu Gongopadhyay
https://arxiv.org/abs/2506.03838 https://

On the domination of surface-group representations in $\mathrm{PU}(2,1)$
This article explores surface-group representations into the complex hyperbolic group $\mathrm{PU}(2,1)$ and presents domination results for a special class of representations called $T$-bent representations. Let $S_{g,k}$ be a punctured surface of negative Euler characteristic. We prove that for a $T$-bent representation $ρ: π_1(S_{g,k}) \rightarrow \mathrm{PU}(2,1)$, there exists a discrete and faithful representation $ρ_0: π_1(S_{g,k}) \rightarrow \mathrm{PO}(2,1)$ that dominates $ρ$ in…

This https://arxiv.org/abs/2411.04846 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDS_…

On the Complexity of 2-club Cluster Editing with Vertex Splitting
Editing a graph to obtain a disjoint union of s-clubs is one of the models for correlation clustering, which seeks a partition of the vertex set of a graph so that elements of each resulting set are close enough according to some given criterion. For example, in the case of editing into s-clubs, the criterion is proximity since any pair of vertices (in an s-club) are within a distance of s from each other. In this work we consider the vertex splitting operation, which allows a vertex to belong …

This https://arxiv.org/abs/2501.14755 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDC_…

Data-Juicer 2.0: Cloud-Scale Adaptive Data Processing for and with Foundation Models
The burgeoning field of foundation models necessitates advanced data processing mechanisms capable of harnessing vast and valuable data with various types used by these models. Nevertheless, the current landscape presents unique challenges that traditional data processing frameworks struggle to handle effectively, particularly in handling the complexity of multimodal data. In response, we present Data-Juicer 2.0, a data processing system backed by 100+ data processing operators spanning text, i…

This https://arxiv.org/abs/2501.12729 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the algebraic transfers of ranks 4 and 6 at generic degrees
Let $\mathscr A$ denote the classical singly-graded Steenrod algebra over the binary field $\mathbb Z/2.$ We write $P_k:=\mathbb Z/2[t_1, t_2, \ldots, t_k]$ as the polynomial algebra on $k$ generators, each having a degree of one. Let $GL_k$ be the general linear group of rank $k$ over $\mathbb Z/2.$ Then, $P_k$ is an $ \mathscr A[GL_k]$-module. The structure of the cohomology groups, ${\rm Ext}_{ \mathscr A}^{k, k+\bullet}(\mathbb Z/2, \mathbb Z/2)$, of the Steenrod algebra has, thus far, resi…

Low-temperature cotunneling electron transport in photo-switchable molecule-nanoparticle networks
Yannick Viero, David Gu\'erin, Dominique Vuillaume
https://arxiv.org/abs/2506.05552

Low-temperature cotunneling electron transport in photo-switchable molecule-nanoparticle networks
We report the temperature-dependent (4.2 - 300 K) electron transport properties (current-voltage) of photo-switchable two-dimensional arrays of gold nanoparticles (10 nm in diameter) functionalized by azobenzene derivatives. Under UV-light irradiation at 4.2 K, the azobenzene moieties are switched from the trans to cis isomers, leading to an increase of the current. In both conformations, at low temperature (< 77 K) and low voltage (< 1 V) the voltage- and temperature-dependent current behavior…

This https://arxiv.org/abs/2503.03913 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qbi…

Proton Flows, Proton Gradients and Subcellular Architecture in Biological Energy Conversion
Hydrogen cations, or protons, provide the medium by which energy is stored and converted in biological systems. Such pre-eminence relies on the interplay between interfacial and bulk chemical transformations, according to mechanisms that are shared by organisms in all phyla of life. The present work provides an introduction to the fundamental aspects of biological energy management by focusing on the relationship between vectorial proton flows and the geometry of energy producing organelles in …

Elementary discrete diffusion/redistancing schemes for the mean curvature flow
Antonin Chambolle, Daniele De Gennaro, Massimiliano Morini
https://arxiv.org/abs/2506.05946

Elementary discrete diffusion/redistancing schemes for the mean curvature flow
We consider here a fully discrete and explicit scheme for the mean curvature flow of boundaries, based on an elementary diffusion step and a precise redistancing operation. We give an elementary convergence proof for the scheme under the standard CFL condition $h\sim\varepsilon^2$, where $h$ is the time discretization step and $\varepsilon$ the space step. We discuss extensions to more general convolution/redistancing schemes.

The overflow in the Katona Theorem
Peter Frankl, Jian Wang
https://arxiv.org/abs/2506.05704 https://arxiv.org/pdf/2506.05704

The overflow in the Katona Theorem
Let $n>2r>0$ be integers. We consider families $\mathcal{F}$ of subsets of an $n$-element set, in which the union of any two members has size at most $2r$. One of our results states that for $n\geq 6r$ the number of members of size exceeding $r$ in $\mathcal{F}$ is at most $\binom{n-2}{r-1}$. Another result shows that for $n>3.5r$ the number of sets of size at least $r$ is at most $\binom{n}{r}$. Both bounds are best possible and the latter sharpens the classical Katona Theorem. Similar results…

This https://arxiv.org/abs/2309.12760 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Complex crystallographic reflection groups and Seiberg-Witten integrable systems: rank 1 case
We consider generalisations of the elliptic Calogero--Moser systems associated to complex crystallographic groups in accordance to [1]. In our previous work [2], we proposed these systems as candidates for Seiberg--Witten integrable systems of certain SCFTs. Here we examine that proposal for complex crystallographic groups of rank one. Geometrically, this means considering elliptic curves $T^2$ with $\mathbb{Z}_m$-symmetries, $m=2,3,4,6$, and Poisson deformations of the orbifolds $(T^2\times\ma…

This https://arxiv.org/abs/2306.15594 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

2-Elongated Plane Partitions and Powers of 7: The Localization Method Applied to a Genus 1 Congruence Family
Over the last century, a large variety of infinite congruence families have been discovered and studied, exhibiting a great variety with respect to their difficulty. Major complicating factors arise from the topology of the associated modular curve: classical techniques are sufficient when the associated curve has cusp count 2 and genus 0. Recent work has led to new techniques that have proven useful when the associated curve has cusp count greater than 2 and genus 0. We show here that these te…

A neural network-based four-body potential energy surface for parahydrogen
Alexander Ibrahim, Pierre-Nicholas Roy
https://arxiv.org/abs/2506.05540 https://…

A neural network-based four-body potential energy surface for parahydrogen
We present an isotropic ab initio (para-H$_2$)$_4$ four-body interaction potential energy surface (PES). The electronic structure calculations are performed at the correlated coupled-cluster theory level, with single, double, and perturbative triple excitations. They use an atom-centred augmented correlation-consistent double zeta basis set, supplemented by a $(3s3p2d)$ midbond function. We use a multilayer perceptron to construct the PES. We apply a rescaling transformation to the output energ…

This https://arxiv.org/abs/2504.15265 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Realization of maximally-entangling two-qutrit gates using the Cross-Resonance scheme
In this letter, we present a comprehensive theoretical framework for realizing maximally entangling two-qutrit gates on fixed-frequency transmons that generalize the qubit-centric cross-resonance (CR) interaction beyond the 0-1 subspace, which we call as generalized cross-resonance (GCR) scheme. We use the GCR scheme to design parametric two-qutrit gates, namely, $U_{CR}^{01}$ and $U_{CR}^{12}$, that act on the $0{-}1$ and $1{-}2$ energy transitions of transmons, respectively. Our gates improve…

This https://arxiv.org/abs/2506.01759 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

ADEPT: Adaptive Diffusion Environment for Policy Transfer Sim-to-Real
Model-free reinforcement learning has emerged as a powerful method for developing robust robot control policies capable of navigating through complex and unstructured environments. The effectiveness of these methods hinges on two essential elements: (1) the use of massively parallel physics simulations to expedite policy training, and (2) an environment generator tasked with crafting sufficiently challenging yet attainable environments to facilitate continuous policy improvement. Existing metho…

This https://arxiv.org/abs/2505.16779 has been replaced.
initial toot: https://mastoxiv.page/@a…

Phase engineering of MoS$_2$ monolayers: A pathway to enhanced lithium-polysulfide battery performance
This study explores the potential of MoS$_2$ polymorphs, specifically the semiconducting 2H phase and the metallic 1T$^\prime$ phase, as anchoring materials to enhance the electrochemical performance of lithium-sulfur (Li--S) batteries. Using density functional theory calculations, we show that 1T$^\prime$-MoS$_2$ exhibits stronger Li--S interactions, greater charge transfer, and enhanced catalytic activity compared to its 2H counterpart, effectively suppressing polysulfide dissolution and faci…

Field-induced magnetic order in DyTa$_7$O$_{19}$ with two-dimensional pseudospin-$\frac{1}{2}$ triangular lattice
Feihao Pan, Nan Zhao, Songnan Sun, Chenglin Shang, Peng Cheng, Jieming Sheng, Liusuo Wu
https://arxiv.org/abs/2506.06047

Field-induced magnetic order in DyTa$_7$O$_{19}$ with two-dimensional pseudospin-$\frac{1}{2}$ triangular lattice
The magnetic ground state of geometrically frustrated antiferromagnet attracts great research interests due to the possibility to realize novel quantum magnetic state such as a quantum spin liquid. Here we present a comprehensive magnetic characterization of DyTa$_7$O$_{19}$ with ideal two-dimensional triangular lattice. DyTa$_7$O$_{19}$ exhibits $c$-axis single-ion magnetic anisotropy. Although long-range magnetic order is not observed down to 100 mK under zero field, by applying a small magne…

This https://arxiv.org/abs/2401.04391 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Kawamata-Miyaoka type inequality for canonical $\mathbb Q$-Fano varieties II: Terminal $\mathbb Q$-Fano threefolds
We prove an optimal Kawamata-Miyaoka type inequality for terminal $\mathbb Q$-Fano threefolds with Fano index at least $3$. As an application, we obtain that any terminal $\mathbb Q$-Fano threefold $X$ satisfies the following Kawamata-Miyaoka type inequality \[ c_1(X)^3 < 3c_2(X)c_1(X). \]

[2025-05-09 Fri (UTC), no new articles found for q-bio.SC Subcellular Processes]
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This https://arxiv.org/abs/2506.04031 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Brightest Group Galaxies IV: Probing Size--Mass Relation and Morphological Quenching in COSMOS-Web from $z = 3.7$
We present a comprehensive study of the structural evolution of Brightest Group Galaxies (BGGs) from redshift $z \simeq 0.08$ to $z = 3.7$ using the \textit{James Webb Space Telescope}'s 255h COSMOS-Web program. This survey provides deep NIRCam imaging in four filters (F115W, F150W, F277W, F444W) across $\sim 0.54~\mathrm{deg}^2$ and MIRI coverage in $\sim 0.2~\mathrm{deg}^2$ of the COSMOS field. High-resolution NIRCam imaging enables robust size and morphological measurements, while multiwavel…

This https://arxiv.org/abs/1804.08452 has been replaced.
link: https://scholar.google.com/scholar?q=a

Two closed geodesics on compact bumpy Finsler manifolds
In this paper, we prove there are at least two closed geodesics on any compact bumpy Finsler $n$-manifold with finite fundamental group and $n\ge 2$. Thus generically there are at least two closed geodesics on compact Finsler manifolds with finite fundamental group. Furthermore, there are at least two closed geodesics on any compact Finsler $2$-manifold, and this lower bound is achieved by the Katok 2-sphere $(S^2, F)$ and 2-real projective space $(S^2/\Z_2, F)$, cf. \cite{Kat}.

This https://arxiv.org/abs/2504.07679 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Assessing cosmological evidence for non-minimal coupling
The recent observational evidence of deviations from the $Λ$-Cold Dark Matter ($Λ$CDM) model points towards the presence of evolving dark energy. The simplest possibility consists of a cosmological scalar field $φ$, dubbed quintessence, driving the accelerated expansion. We assess the evidence for the existence of such a scalar field. We find that, if the accelerated expansion is driven by quintessence, the data favour a potential energy $V(φ)$ that is concave, i.e., $m^2=d^2V/dφ^2<0$. Fur…

This https://arxiv.org/abs/2312.00885 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Divisible minimal codes
Minimal codes are linear codes where all non-zero codewords are minimal, i.e., whose support is not properly contained in the support of another codeword. The minimum possible length of such a $k$-dimensional linear code over $\mathbb{F}_q$ is denoted by $m(k,q)$. Here we determine $m(7,2)$, $m(8,2)$, and $m(9,2)$, as well as full classifications of all codes attaining $m(k,2)$ for $k\le 7$ and those attaining $m(9,2)$. We give improved upper bounds for $m(k,2)$ for all $10\le k\le 17$. It turn…

This https://arxiv.org/abs/2506.01870 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Various irrational series involving binomial coefficients
Motivated by Galois theory, we propose some new irrational series of Ramanujan's type or Zeilberger's type. For example, we conjecture that \begin{equation*}\sum_{k=1}^\infty\frac{\binom{2k}k^2\binom{4k}{2k}}{(84-32\sqrt6)^{4k}} \left(280k+5\sqrt6+26\right)=\frac3π(2\sqrt3+33\sqrt2) \end{equation*} and \begin{align*}&\sum_{k=1}^\infty\frac{(27(37102-15147\sqrt6))^k}{k^3\binom{2k}k^2\binom{3k}k} \left(9k(11\sqrt6+51)-2(19\sqrt6+54)\right) \\&\qquad=\frac{5625}2\left(\sqrt6 L_{-24}(2)-3G\r…

Existence and multiplicity of normalized solutions for the generalized Kadomtsev-Petviashvili equation in $\mathbb{R}^2$
Claudianor O. Alves, Rui Ding, Chao Ji
https://arxiv.org/abs/2506.04967

Existence and multiplicity of normalized solutions for the generalized Kadomtsev-Petviashvili equation in $\mathbb{R}^2$
In this paper, we study the existence and {multiplicity} of nontrivial solitary waves for the generalized Kadomtsev-Petviashvili equation with prescribed {$L^2$-norm} \begin{equation*}\label{Equation1} \left\{\begin{array}{l} \left(-u_{x x}+D_x^{-2} u_{y y}+λu-f(u)\right)_x=0,{\quad x \in \mathbb{R}^2, } \\[10pt] \displaystyle \int_{\mathbb{R}^2}u^2 d x=a^2, \end{array}\right.%\tag{$\mathscr E_λ$} \end{equation*} where $a>0$ and $λ\in \mathbb{R}$ is an unknown parameter that appears …

High-Energy Reaction Dynamics of O$_3$
JingChun Wang, Juan Carlos San Vicente Veliz, Meenu Upadhyay, Markus Meuwly
https://arxiv.org/abs/2506.06088 https:/…

High-Energy Reaction Dynamics of O$_3$
The high-temperature atom exchange and dissociation reaction dynamics of the O($^3$P) + O$_2(^3Σ_g^{-} )$ system are investigated based on a new reproducing kernel-based representation of high-level multi-reference configuration interaction energies. Quasi-classical trajectory (QCT) simulations find the experimentally measured negative tempe-rature-dependence of the rate for the exchange reaction and describe the experiments within error bars. Similarly, QCT simulations for a recent potential …

This https://arxiv.org/abs/2410.11295 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCR_…

BRC20 Pinning Attack
BRC20 tokens are a type of non-fungible asset on the Bitcoin network. They allow users to embed customised content within Bitcoin's satoshis. The token frenzy reached a market size of US\$2.811\,b (2023Q3--2025Q1). However, this intuitive design has not undergone serious security scrutiny. We present the first analysis of BRC20's \emph{transfer} mechanism and identify a new attack vector. A typical BRC20 transfer involves two "bundled" on-chain transactions with different fee levels: the firs…

This https://arxiv.org/abs/2506.01068 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Free field construction of Heterotic string compactified on Calabi-Yau manifolds of Berglund-Hubsch type in the Batyrev-Borisov combinatorial approach
Heterotic string models in $4$-dimensions are the hybrid theories of a left-moving $N=1$ fermionic string whose additional $6$-dimensions are compactified on a $N=2$ SCFT theory with the central charge $9$, and a right-moving bosonic string, whose additional dimensions are also compactified on $N=2$ SCFT theory with the central charge $9$, and the remaining $13$ dimensions of which form the torus of $E(8)\times SO(10)$ Lie algebra. The important class of exactly solvable Heterotic string mode…

[2025-05-08 Thu (UTC), no new articles found for q-bio.SC Subcellular Processes]
#toXiv_bot_toot

This https://arxiv.org/abs/2501.12729 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the algebraic transfers of ranks 4 and 6 at generic degrees
Let $\mathscr A$ denote the classical singly-graded Steenrod algebra over the binary field $\mathbb Z/2.$ We write $P_k:=\mathbb Z/2[t_1, t_2, \ldots, t_k]$ as the polynomial algebra on $k$ generators, each having a degree of one. Let $GL_k$ be the general linear group of rank $k$ over $\mathbb Z/2.$ Then, $P_k$ is an $ \mathscr A[GL_k]$-module. The structure of the cohomology groups, ${\rm Ext}_{ \mathscr A}^{k, k+\bullet}(\mathbb Z/2, \mathbb Z/2)$, of the Steenrod algebra has, thus far, resi…

On elementary abelian 2-hypergroups
Yu Jiang
https://arxiv.org/abs/2506.05291 https://arxiv.org/pdf/2506.05291

On elementary abelian 2-hypergroups
A hypergroup is called an elementary abelian 2-hypergroup if it is a constrained direct product of the closed subsets of two elements. In this paper, the elementary abelian 2-hypergroups are studied. All closed subsets and all strongly normal closed subsets of the elementary abelian 2-hypergroups are determined. The numbers of all closed subsets and all strongly normal closed subsets of the elementary abelian 2-hypergroups are given. A criterion for the isomorphic closed subsets of the elementa…

Path-integral Monte Carlo simulations of solid parahydrogen using two-body, three-body, and four-body ab initio interaction potential energy surfaces
Alexander Ibrahim, Pierre-Nicholas Roy
https://arxiv.org/abs/2506.05557

Path-integral Monte Carlo simulations of solid parahydrogen using two-body, three-body, and four-body ab initio interaction potential energy surfaces
We present path integral Monte Carlo simulation results for the equation of state of solid parahydrogen between $ 0.024 \, {Å}^{-3} $ and $ 0.1 \, {Å}^{-3} $ at $ T = 4.2 \, $ K. The simulations are performed using non-additive isotropic ab initio two-body, three-body, and four-body potential energy surfaces (PES). We apply corrections to account for both the finite size simulation errors and the Trotter factorization errors. Simulations that use only the two-body PES during sampling yield an…

Magnetic and thermodynamic studies on the distorted kagome magnet Pr$_3$BWO$_9$
Ahmed Elghandour, Jan Arneth, Annu Yadav, Sven Luther, Panchanan Khuntia, R\"udiger Klingeler
https://arxiv.org/abs/2506.06070

Magnetic and thermodynamic studies on the distorted kagome magnet Pr$_3$BWO$_9$
We report specific heat, ac/dc magnetic susceptibility as well as static and pulsed field magnetization studies on the distorted kagome magnet Pr$_3$BWO$_9$ down to 0.4~K and up to high magnetic fields. The low-temperature thermodynamic properties are found to be governed by an electronic quasi-doublet ground state; the energy splitting of which amounts to $Δ_1\simeq 18$ K and exhibits a quadratic field dependence with $g_\mathrm{eff} = 2.6$. Fitting of the specific heat data implies that the …

[2025-06-06 Fri (UTC), 2 new articles found for math.AG Algebraic Geometry]
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This https://arxiv.org/abs/2505.03447 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Asymptotic formula for the sum of a prime and a square-full number in intervals shorter than $X^{1/2}$
Let $R(N)$ be the number of representations of $N$ as a sum of a prime and a square-full number weighted with logarithmic function. In $2024$, the author and Y. Suzuki obtained an asymptotic formula for the sum of $R(N)$ over positive integers $N$ in a short interval ($X$, $X+H$] for $X^{\frac{1}{2}+\varepsilon} \le H < X^{1-\varepsilon}$. In this article, we improve the range of $H$, that is, we prove the same asymptotic formula for $X^{\frac{32-4\sqrt{15}}{49}+\varepsilon} \le H \le X^{1- \va…

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…

This https://arxiv.org/abs/2506.02971 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The affirmative answer to Singer's conjecture on the algebraic transfer of rank four
In recent decades, the structure of the mod-2 cohomology of the Steenrod ring $\mathscr A$ has become a major subject of study in the field of Algebraic Topology. One of the earliest attempts to study this cohomology through the use of modular representations of the general linear groups was the groundbreaking work [Math. Z. 202 (1989), 493-523] by W.M. Singer. In that work, Singer introduced a homomorphism, commonly referred to as the "algebraic transfer," which maps from the coinvariants of a…

The asymptotics of the $\mathrm{SL}_2(\mathbb{C})$-Hitchin metric on the singular locus: subintegrable systems
Siqi He, Johannes Horn, Nianzi Li
https://arxiv.org/abs/2506.04957

The asymptotics of the $\mathrm{SL}_2(\mathbb{C})$-Hitchin metric on the singular locus: subintegrable systems
We study the asymptotic hyperkähler geometry of the $\mathrm{SL}_2(\mathbb{C})$-Hitchin moduli space over the singular fibers of the Hitchin fibration. We extend the previously known exponential convergence results for solutions to the Hitchin equation to the class of locally fiducial Higgs bundles defined by a special local description at the singularities of the spectral curve. This condition is satisfied by the Higgs bundles contained in certain subintegrable systems introduced by Hitchin. …

On the sum of a prime and two Fibonacci numbers
Ji-Zhen Xu, Yong-Gao Chen
https://arxiv.org/abs/2506.03631 https://arxiv.org/pdf/2506…

On the sum of a prime and two Fibonacci numbers
Let $\{f_n\}$ be the Fibonacci sequence. For any positive integer $n$, let $r(n)$ be the number of solutions of $n=p+f_{k_1^{2}} +f_{k_{2}^{2}}$, where $p$ is a prime and $k_1, k_2$ are nonnegative integers with $k_1\le k_2$. In this paper, it is proved that $\{ n : r(n)=0\} $ contains an infinite arithmetic progression, and both sets $\{ n : r(n)=1\} $ and $\{ n : r(n)\ge 2\}$ have positive asymptotic densities.

This https://arxiv.org/abs/2306.05306 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Vertex isoperimetry on signed graphs and spectra of non-bipartite Cayley and Cayley sum graphs
For a non-bipartite finite Cayley graph, we show the non-trivial eigenvalues of its normalized adjacency matrix lie in the interval $$\left[-1+\frac{ch_{out}^2}{d},1-\frac{Ch_{out}^2}{d}\right],$$ for some absolute constant $c$ and $C$, where $h_{out}$ stands for the outer vertex boundary isoperimetric constant. This improves upon recent obtained estimates aiming at a quantitative version of a result due to Breuillard, Green, Guralnick and Tao. We achieve this by extending the work of Bobkov, H…

Frustrated $J_1-J_2$ Diamond Lattice Antiferromagnet Co$_2$Ti$_3$O$_8$ with a Vacancy-ordered Spinel Structure Synthesized via a Topochemical Reaction
Rio Kumeda, Yuya Haraguchi, Daisuke Nishio-Hamane, Akira Matsuo, Koichi Kindo, Hiroko Aruga Katori
https://arxiv.org/abs/2506.05099

Frustrated $J_1-J_2$ Diamond Lattice Antiferromagnet Co$_2$Ti$_3$O$_8$ with a Vacancy-ordered Spinel Structure Synthesized via a Topochemical Reaction
Metastable Co$_2$Ti$_3$O$_8$ was synthesized through a topochemical reaction using Li$_2$CoTi$_3$O$_8$ as the precursor, resulting in a vacancy-ordered spinel structure. Crystal structure analysis confirmed that Co ions selectively occupy the A-site, giving rise to a frustrated diamond lattice. Magnetic susceptibility and heat capacity measurements revealed antiferromagnetic order at 4.4 K, which is markedly suppressed compared to the negative Weiss temperature of ${\sim}-27$ K, indicating a hi…

This https://arxiv.org/abs/2503.15398 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Separation of variables for higher rank integrable models: review of recent progress
Separation of variables (SoV) is a powerful method expected to be applicable for a wide range of quantum integrable systems, from models in condensed matter physics to gauge and string theories. Yet its full implementation for many higher rank examples, such as SU(N) spin chains with N>2, has remained elusive for a long time. In this pedagogical review we discuss the major progress achieved recently in understanding SoV for models of this type. In particular, for rational SU(N) spin chains we d…

This https://arxiv.org/abs/2408.06200 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Dirichlet improvability in $L_p$-norms
For a norm $F$ on $\mathbb{R}^2$, we consider the set of $F$-Dirichlet improvable numbers $\mathbf{DI}_F$. In the most important case of $F$ being an $L_p$-norm with $p=\infty$, which is a supremum norm, it is well-known that $\mathbf{DI}_F = \mathbf{BA}\cup \mathbb{Q}$, where $\mathbf{BA}$ is a set of badly approximable numbers. It is also known that $\mathbf{BA}$ and each $\mathbf{DI}_F$ are of measure zero and of full Hausdorff dimension. Using classification of critical lattices for unit …

Spectral Tur\'{a}n problem of non-bipartite graphs: Forbidden books
Ruifang Liu, Lu Miao
https://arxiv.org/abs/2506.04884 https://

Spectral Turán problem of non-bipartite graphs: Forbidden books
A book graph $B_{r+1}$ is a set of $r+1$ triangles with a common edge, where $r\geq0$ is an integer. Zhai and Lin [J. Graph Theory 102 (2023) 502-520] proved that for $n\geq\frac{13}{2}r$, if $G$ is a $B_{r+1}$-free graph of order $n$, then $ρ(G)\leqρ(T_{n,2})$, with equality if and only if $G\cong T_{n,2}$. Note that the extremal graph $T_{n,2}$ is bipartite. Motivated by the above elegant result, we investigate the spectral Turán problem of non-bipartite $B_{r+1}$-free graphs of order $n$.…

This https://arxiv.org/abs/2505.15724 has been replaced.
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Gravitational Bremsstrahlung in Black-Hole Scattering at $\mathcal{O}(G^3)$: Quadratic-in-Spin Effects
We are employing a supersymmetric variant of the worldline quantum field theory (WQFT) formalism to compute the far-field momentum-space gravitational waveform emitted during the scattering of two spinning black holes at next-to-leading order (NLO) in the post-Minkowskian expansion. Our results are accurate up to quadratic-in-spin contributions, which means we report for the very first time the waveform observable at the order $\mathcal{O}(G^3\mathcal{S}^2)$. Our computation is based on mapping…

This https://arxiv.org/abs/2502.14032 has been replaced.
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Critical theories connecting gapped phases with $\mathbb{Z}_2\times\mathbb{Z}_2$ symmetry from the duality web
We use the ideas behind the duality web to construct numerous conformal field theories mediating the phase transitions between various symmetry broken and topological phases. In particular we obtain the full field theory version of the Kennedy Tasaki transformation, mapping a gapless theory mediating a topological phase transition of symmetry protected topological orders to a standard symmetry breaking one in a 1+1 dimensional $\mathbb{Z}_2 \times \mathbb{Z}_2$ gauge theory. When we consider al…

This https://arxiv.org/abs/2303.00143 has been replaced.
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Hecke Actions on Loops and Periods of Iterated Shimura Integrals
In this paper we show that the classical Hecke correspondences T_N, N>0, act on the free abelian groups generated by the conjugacy classes of the modular group SL_2(Z) and the conjugacy classes of its profinite completion. We show that this action induces a dual action on the ring of class functions of a certain relative unipotent completion of the modular group. This ring contains all iterated integrals of modular forms that are constant on conjugacy classes. It possesses a natural mixed Hodge…

This https://arxiv.org/abs/2308.06673 has been replaced.
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Remarks on Greenberg's conjecture for Galois representations associated to elliptic curves
Let $E_{/\mathbb{Q}}$ be an elliptic curve and $p$ be an odd prime number at which $E$ has good ordinary reduction. Let $Sel_{p^\infty}(\mathbb{Q}_\infty, E)$ denote the $p$-primary Selmer group of $E$ considered over the cyclotomic $\mathbb{Z}_p$-extension of $\mathbb{Q}$. The (algebraic) \emph{$μ$-invariant} of $Sel_{p^\infty}(\mathbb{Q}_\infty, E)$ is denoted $μ_p(E)$. Denote by $\barρ_{E, p}:Gal(\bar{\mathbb{Q}}/\mathbb{Q})\rightarrow GL_2(\mathbb{Z}/p\mathbb{Z})$ the Galois representati…

This https://arxiv.org/abs/2505.12518 has been replaced.
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Bounds on Trees with Topological Indices Among Degree Sequence
In this paper, we investigate The relationship between the Albertson index and the first Zagreb index for trees. For a tree $T=(V,E)$ with $n=|V|$ vertices and $m=|E|$ edges, we provide several bounds and exact formulas for these two topological indices, and we show that the Albertson index $\irr(T)$ and the first Zagreb index $M_1(T)$ satisfy the association \[ \operatorname{irr}(T)=d_1^2+d_n^2+(n-2)\left(\frac{Δ+ δ}{2}\right)^2+\sum_{i=2}^{n-1} d_i+d_n - d_1-2n-2.\] Our …

Some Bounds Related to the 2-adic Littlewood Conjecture
Dinis Vitorino, Ingrid Vukusic
https://arxiv.org/abs/2506.04110 https://arxiv…

Some Bounds Related to the 2-adic Littlewood Conjecture
For every irrational real $α$, let $M(α) = \sup_{n\geq 1} a_n(α)$ denote the largest partial quotient in its continued fraction expansion (or $\infty$, if unbounded). The $2$-adic Littlewood conjecture (2LC) can be stated as follows: There exists no irrational $α$ such that $M(2^k α)$ is uniformly bounded by a constant $C$ for all $k\geq 0$. Badziahin proved (considering a different formulation of 2LC) that if a counterexample exists, then the bound $C$ is at least $8$. We improve this bou…