Tootfinder

Rescaled topological entropy
E. Rego, C. Rojas, X. Wen
https://arxiv.org/abs/2506.02383 https://arxiv.org/pdf/2506.02383

Rescaled topological entropy
We prove that to any smooth vector field of a closed manifold it can be assigned a nonnegative number called {\em rescaled topological entropy} satisfying the following properties: it is an upper bound for both the topological entropy and the rescaled metric entropy \cite{ww}; coincides with the topological entropy for nonsingular vector fields; is positive for certain surface vector fields (in contrast to the topological entropy); is invariant under rescaled topological conjugacy; and serves a…

This https://arxiv.org/abs/2407.10026 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csIT_…

Conditional Entropies of k-Deletion/Insertion Channels
The channel output entropy of a transmitted sequence is the entropy of the possible channel outputs and similarly the channel input entropy of a received sequence is the entropy of all possible transmitted sequences. The goal of this work is to study these entropy values for the k-deletion, k-insertion channels, where exactly k symbols are deleted, inserted in the transmitted sequence, respectively. If all possible sequences are transmitted with the same probability then studying the input and …

This https://arxiv.org/abs/2403.14848 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Learning WENO for entropy stable schemes to solve conservation laws
Entropy conditions play a crucial role in the extraction of a physically relevant solution for systems of conservation laws, thus motivating the construction of entropy stable schemes that satisfy a discrete analogue of such conditions. TeCNO schemes (Fjordholm et al. 2012) form a class of arbitrary high-order entropy stable finite difference solvers, which require specialized reconstruction algorithms satisfying the sign property at each cell interface. Third-order weighted essentially non-osc…

This https://arxiv.org/abs/2503.21224 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csLG_…

Efficient Learning for Entropy-Regularized Markov Decision Processes via Multilevel Monte Carlo
Designing efficient learning algorithms with complexity guarantees for Markov decision processes (MDPs) with large or continuous state and action spaces remains a fundamental challenge. We address this challenge for entropy-regularized MDPs with Polish state and action spaces, assuming access to a generative model of the environment. We propose a novel family of multilevel Monte Carlo (MLMC) algorithms that integrate fixed-point iteration with MLMC techniques and a generic stochastic approximat…

Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoning
Shenzhi Wang, Le Yu, Chang Gao, Chujie Zheng, Shixuan Liu, Rui Lu, Kai Dang, Xionghui Chen, Jianxin Yang, Zhenru Zhang, Yuqiong Liu, An Yang, Andrew Zhao, Yang Yue, Shiji Song, Bowen Yu, Gao Huang, Junyang Lin
https://arx…

Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoning
Reinforcement Learning with Verifiable Rewards (RLVR) has emerged as a powerful approach to enhancing the reasoning capabilities of Large Language Models (LLMs), while its mechanisms are not yet well understood. In this work, we undertake a pioneering exploration of RLVR through the novel perspective of token entropy patterns, comprehensively analyzing how different tokens influence reasoning performance. By examining token entropy patterns in Chain-of-Thought (CoT) reasoning, we observe that o…

Constraints on Barrow and Tsallis Holographic Dark Energy from DESI DR2 BAO data
Giuseppe Gaetano Luciano, Andronikos Paliathanasis, Emmanuel N. Saridakis
https://arxiv.org/abs/2506.03019

Constraints on Barrow and Tsallis Holographic Dark Energy from DESI DR2 BAO data
Barrow and Tsallis Holographic Dark Energy (HDE) are two recently proposed extensions of the standard HDE framework, incorporating generalized corrections to horizon entropy through the use of Barrow and Tsallis entropies. Tsallis entropy arises from non-extensive statistical phenomena which account for long-range correlations and deviations from additivity, while Barrow entropy emerges from quantum-gravitational effects on the horizon geometry, associated with fractal modifications and deforma…

Max Entropy Moment Kalman Filter for Polynomial Systems with Arbitrary Noise
Sangli Teng, Harry Zhang, David Jin, Ashkan Jasour, Ram Vasudevan, Maani Ghaffari, Luca Carlone
https://arxiv.org/abs/2506.00838

Max Entropy Moment Kalman Filter for Polynomial Systems with Arbitrary Noise
Designing optimal Bayes filters for nonlinear non-Gaussian systems is a challenging task. The main difficulties are: 1) representing complex beliefs, 2) handling non-Gaussian noise, and 3) marginalizing past states. To address these challenges, we focus on polynomial systems and propose the Max Entropy Moment Kalman Filter (MEM-KF). To address 1), we represent arbitrary beliefs by a Moment-Constrained Max-Entropy Distribution (MED). The MED can asymptotically approximate almost any distribution…

Surgical Foundation Model Leveraging Compression and Entropy Maximization for Image-Guided Surgical Assistance
Lianhao Yin, Ozanan Meireles, Guy Rosman, Daniela Rus
https://arxiv.org/abs/2506.01980

Surgical Foundation Model Leveraging Compression and Entropy Maximization for Image-Guided Surgical Assistance
Real-time video understanding is critical to guide procedures in minimally invasive surgery (MIS). However, supervised learning approaches require large, annotated datasets that are scarce due to annotation efforts that are prohibitive, e.g., in medical fields. Although self-supervision methods can address such limitations, current self-supervised methods often fail to capture structural and physical information in a form that generalizes across tasks. We propose Compress-to-Explore (C2E), a no…

This https://arxiv.org/abs/2501.18569 has been replaced.
initial toot: https://mastoxiv.page/@…

Derivation of the free energy, entropy and specific heat for planar Ising models: Application to Archimedean lattices and their duals
The 2d ferromagnetic Ising model was solved by Onsager on the square lattice in 1944, and an explicit expression of the free energy density $f$ is presently available for some other planar lattices. But an exact derivation of the critical temperature $T_c$ only requires a partial derivation of $f$. It has been performed on many lattices, including the 11 Archimedean lattices. In this article, we give general expressions of the free energy, energy, entropy and specific heat for planar lattices w…

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds
Rong Lei, Xiang-Dong Li, Yu-Zhao Wang
https://arxiv.org/abs/2506.01279

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds
Inspired by Perelman's seminal work on the $W$-entropy formula for the Ricci flow and related works, we prove the $W$-entropy formula and rigidity theorem for the geodesic flow on the $L^q$-Wasserstein space over a complete Riemannian manifold with bounded geometry condition. Then we introduce the Langevin deformation on the $L^q$-Wasserstein space over a complete Riemannian manifold, which interpolates between the $p$-Laplacian heat equation and the geodesic flow on the $L^q$-Wasserstein space…

This https://arxiv.org/abs/2411.11961 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

A New Genuine Multipartite Entanglement Measure: from Qubits to Multiboundary Wormholes
We introduce the Latent Entropy (L-entropy) as a novel measure to characterize the genuine multipartite entanglement in quantum systems. Our measure leverages the upper bound of reflected entropy and its maximal values attained by 2-uniform states for $n$-party ($n= 4,5$) and GHZ state for 3-party quantum systems. We demonstrate that the measure functions as a multipartite pure state entanglement monotone and briefly address its extension to mixed multipartite states. We then analyze its intere…

Thermodynamic Signatures of Gaussian Entanglement Beyond Entropy
Beatriz Polo, Federico Centrone, Mir Alimuddin, Gerardo Adesso
https://arxiv.org/abs/2505.24596

Thermodynamic Signatures of Gaussian Entanglement Beyond Entropy
Continuous-variable quantum thermodynamics in the Gaussian regime provides a promising framework for investigating the energetic role of quantum correlations, particularly in optical systems. In this work, we introduce an entropy-free criterion for entanglement detection in bipartite Gaussian states, rooted in a distinct thermodynamic quantity: ergotropy -- the maximum extractable work via unitary operations. By defining the relative ergotropic gap, which quantifies the disparity between global…

Spin-chain multichannel Kondo model via image impurity boundary condition
Jordan Gaines, Guangjie Li, Jukka V\"ayrynen
https://arxiv.org/abs/2506.02399

Spin-chain multichannel Kondo model via image impurity boundary condition
One of the signature observables for the electronic multichannel Kondo model is the impurity entropy, which was claimed to be found in $J_1$-$J_2$ Heisenberg chain with open boundary condition (OBC) and periodic boundary condition (PBC), respectively for the one-channel and two-channel case. However, it is not clear how to generalize OBC and PBC in Heisenberg chains to find the multichannel Kondo impurity entropy with more than two channels. In this paper, we demonstrate that the correct bounda…

This https://arxiv.org/abs/2412.12405 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_sta…

Generalized entropy calibration for analyzing voluntary survey data
Statistical analysis of voluntary survey data is an important area of research in survey sampling. We consider a unified approach to voluntary survey data analysis under the assumption that the sampling mechanism is ignorable. Generalized entropy calibration is introduced as a unified tool for calibration weighting to control the selection bias. We first establish the relationship between the generalized calibration weighting and its dual expression for regression estimation. The dual relations…

Pressure-induced structural disordering and anomalous pressure-volume behaviour in high-entropy zirconates
Yogendar Singh, Xinghua Su, Vivek Kumar, H. K. Poswal, K. K. Pandey, Pawan Kumar Kulriya
https://arxiv.org/abs/2506.01834

Pressure-induced structural disordering and anomalous pressure-volume behaviour in high-entropy zirconates
The ambient-temperature high-pressure behaviour of (La0.2Nd0.2Sm0.2Gd0.2Yb0.2)2Zr2O7 zirconate (HEZ) nanopowders with three different average particle sizes (~25nm, ~45 nm and ~ 68nm) were studied using synchrotron X-ray diffraction (SR-XRD) measurements up to ~30 GPa. Smaller particle-size HEZ nanopowder (~25 nm), synthesized at the lower sintering temperature, exhibits pure defect-fluorite (DF) phase, whereas larger particle-size HEZ nanopowders (~45nm and ~68nm), synthesized at the higher si…

Volume Entropy Rigidity for Random Groups at Low Densities
Dongming Hua (Merrick)
https://arxiv.org/abs/2505.23364 https://arxiv.org/…

Volume Entropy Rigidity for Random Groups at Low Densities
We study the rigidity of the volume entropy for weighted word metrics on hyperbolic groups, building on a recent convexity result due to Cantrell-Tanaka. Using ideas from small cancellation theory, we give conditions under which a hyperbolic group admits a unique normalized weight minimizing the entropy. Moreover, we show that these conditions are generic for random groups at small densities, and that the unique minimizer of such a generic group is arbitrarily close to the uniform weight.

An Exploratory Framework for Future SETI Applications: Detecting Generative Reactivity via Language Models
Po-Chieh Yu
#toXiv_bot_toot

Unsupervised Evolutionary Cell Type Matching via Entropy-Minimized Optimal Transport
Mu Qiao
https://arxiv.org/abs/2505.24759 https://

Unsupervised Evolutionary Cell Type Matching via Entropy-Minimized Optimal Transport
Identifying evolutionary correspondences between cell types across species is a fundamental challenge in comparative genomics and evolutionary biology. Existing approaches often rely on either reference-based matching, which imposes asymmetry by designating one species as the reference, or projection-based matching, which may increase computational complexity and obscure biological interpretability at the cell-type level. Here, we present OT-MESH, an unsupervised computational framework leverag…

Square Entropy and Uniform n-to-1 Bernoulli Transformations
Pouya Mehdipour, Somayeh Jangjooye Shaldehi
https://arxiv.org/abs/2505.24647 https://

Square Entropy and Uniform n-to-1 Bernoulli Transformations
In this paper, we define the so-called square entropy and prove that n-to-1 full zip shift maps are intrinsically ergodic. Furthermore, we show that square entropy characterizes uniform n-to-1 transformations of $(m,l)$-Bernoulli type that are extended Bernoulli transformations.

This https://arxiv.org/abs/2409.04108 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csIT_…

An Extension of the Adversarial Threat Model in Quantitative Information Flow
In this paper, we propose an extended framework for quantitative information flow (QIF), aligned with the previously proposed core-concave generalization of entropy measures, to include adversaries that use Kolmogorov-Nagumo $f$-mean to infer secrets in a private system. Specifically, in our setting, an adversary uses Kolmogorov-Nagumo $f$-mean to compute its best actions before and after observing the system's randomized outputs. This leads to generalized notions of prior and posterior vulnera…

This https://arxiv.org/abs/2505.20459 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Holographic Timelike c-function
The integration of high-energy degrees of freedom along the renormalization group (RG) flow in Poincaré-invariant theories can be captured by a monotonic c-function. For such theories, holographic monotonic c-functions have been constructed using entanglement entropy. However, in theories with broken Lorentz invariance, such constructions generally fail, reflecting both the violation of the entanglement RG monotonicity and its limitations in capturing certain properties of non-relativistic RG …

This https://arxiv.org/abs/2406.05694 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A Low Rank Neural Representation of Entropy Solutions
We construct a new representation of entropy solutions to nonlinear scalar conservation laws with a smooth convex flux function in a single spatial dimension. The representation is a generalization of the method of characteristics and posseses a compositional form. While it is a nonlinear representation, the embedded dynamics of the solution in the time variable is linear. This representation is then discretized as a manifold of implicit neural representations where the feedforward neural netwo…

Revisiting the First, Second and Combined Laws of Thermodynamics
Zi-Kui Liu
https://arxiv.org/abs/2506.00055 https://arxiv.org/pdf/25…

Revisiting the First, Second and Combined Laws of Thermodynamics
First, Second and Combined Laws of Thermodynamics are revised in terms of entropy change, partial entropy, partial volume, and chemical potential.

From Initial Data to Boundary Layers: Neural Networks for Nonlinear Hyperbolic Conservation Laws
Igor Ciril, Khalil Haddaoui, Yohann Tendero
https://arxiv.org/abs/2506.01453

From Initial Data to Boundary Layers: Neural Networks for Nonlinear Hyperbolic Conservation Laws
We address the approximation of entropy solutions to initial-boundary value problems for nonlinear strictly hyperbolic conservation laws using neural networks. A general and systematic framework is introduced for the design of efficient and reliable learning algorithms, combining fast convergence during training with accurate predictions. The methodology is assessed through a series of one-dimensional scalar test cases, highlighting its potential applicability to more complex industrial scenari…

This https://arxiv.org/abs/2305.08943 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Cosmology of Single Species Hidden Dark Matter
Cosmology and astrophysics provide various ways to study the properties of dark matter even if they have negligible non-gravitational interactions with the Standard Model particles and remain hidden. We study a type of hidden dark matter model in which the dark matter is completely decoupled from the Standard Model sector except gravitationally, and consists of a single species with conserved comoving particle number and conserved comoving entropy. This category of hidden dark matter includes m…

This https://arxiv.org/abs/2412.07901 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Homophily Within and Across Groups
Homophily-the tendency to connect with similar others-plays a central role in shaping network structure and function. It is often treated as a uniform, global parameter, independent from other structural features. Here, we propose a maximum-entropy framework that decomposes homophily into contributions within and across groups, with the stochastic block model emerging as a special case. Our exponential-family formulation, parameterized by group size, fits real-world social networks well and all…

The Vlasov equation cannot fully account for collisionless shocks
Antoine Bret
https://arxiv.org/abs/2506.01548 https://arxiv.org/pdf…

The Vlasov equation cannot fully account for collisionless shocks
It is argued that the Vlasov equation cannot fully account for collisionless shocks since it conserves entropy, while a shock does not. A rigorous mathematical theory of collisionless shocks could require working at the Klimontovich level.

This https://arxiv.org/abs/2412.20515 has been replaced.
initial toot: https://mastoxiv.page/@…

Entanglement as a topological marker in harmonically confined attractive Fermi-Hubbard chains
We investigate the single-site von Neumann entropy along a harmonically confined superfluid chain, as described by the one-dimensional fermionic Hubbard model with strongly attractive interactions. We find that by increasing the confinement (or equivalently the particle filling) the system undergoes a quantum phase transition from a superfluid (SF) to a non-trivial topological insulator (TI) phase, which is characterized by an insulating bulk surrounded by highly entangled superfluid edges. The…

Statistical Interaction Driven Thermoelectricity and Violation of Wiedemann-Franz Law
Sampurna Karmakar, Amulya Ratnakar, Sourin Das
https://arxiv.org/abs/2506.01930

Statistical Interaction Driven Thermoelectricity and Violation of Wiedemann-Franz Law
Quantum transport anomalies in systems obeying Haldane-Wu fractional exclusion statistics, characterized by the statistical interactions parameter $g$ are investigated. We identify particle-hole symmetry breaking of the Haldane-Wu distribution function via its deviations of the maximum entropy ($\mathcal{S}_{g}^{max}$), evaluated at the chemical potential, from the value ${k_B} \ln 2$ (a value that holds only at the free fermion limit, $g=1$). A duality relation, $g\,\mathcal{S}_{g}^{max}=\math…

{\guillemotleft}Anticommuting{\guillemotright} $\mathbb{Z}_2$ quantum spin liquids
Sumiran Pujari, Harsh Nigam
https://arxiv.org/abs/2506.03866 https://

«Anticommuting» $\mathbb{Z}_2$ quantum spin liquids
We discuss a class of lattice $S=\frac{1}{2}$ quantum Hamiltonians with bond-dependent Ising couplings with a mutually «anticommuting» algebra of extensively many local $\mathbb{Z}_2$ conserved charges that was introduced in [arXiv:2407.06236] including the nomenclature. This mutual algebra is reminiscent of the spin-$\frac{1}{2}$ Pauli matrix algebra but encoded in the structure of \emph{local conserved charges}. These models have finite residual entropy density in the ground state with a si…

A structure-preserving and thermodynamically compatible cell-centered Lagrangian finite volume scheme for continuum mechanics
Walter Boscheri, Michael Dumbser, Raphael Loub\`ere, Pierre-Henri Maire
https://arxiv.org/abs/2506.03081

A structure-preserving and thermodynamically compatible cell-centered Lagrangian finite volume scheme for continuum mechanics
In this work we present a novel structure-preserving scheme for the discretization of the Godunov-Peshkov-Romenski (GPR) model of continuum mechanics written in Lagrangian form. This model admits an extra conservation law for the total energy (first principle of thermodynamics) and satisfies the entropy inequality (second principle of thermodynamics). Furthermore, in the absence of algebraic source terms, the distortion field of the continuum and the specific thermal impulse satisfy a curl-free…

Anomalous magnetic response in the Au-Al-Gd 1/1 quasicrystal approximant
Takafumi D. Yamamoto, Tasuku Watanae, Farid Labib, Asuka Ishikawa, Shintaro Suzuki, Ryuji Tamura
https://arxiv.org/abs/2506.00778

Anomalous magnetic response in the Au-Al-Gd 1/1 quasicrystal approximant
The magnetic response of the Tsai-type 1/1 Au-Al-Gd approximant crystals (ACs) was quantitatively investigated in terms of the magnetic entropy change ($ΔS_{M}$) for different magnetic ground states. A comprehensive $ΔS_{M}$ map over a wide electron concentration range has been established, demonstrating the detailed variation of $ΔS_{M}$ across the entire magnetic phase diagram in the Tsai-type 1/1 ACs. Near the boundaries of the ferromagnetic (FM) phase, a clear deviation from the mean-fie…

This https://arxiv.org/abs/2408.17317 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Diagnosing crosstalk in large-scale QPUs using zero-entropy classical shadows
As quantum processing units (QPUs) scale toward hundreds of qubits, diagnosing crosstalk and noise-induced correlations becomes critical for reliable quantum computation. In this work, we introduce Zero-Entropy Classical Shadows (ZECS), a diagnostic tool that reconstructs positive semidefinite, unit-trace density operators from classical shadow (CS) information. ZECS enables proper subregion tomography and reduces the effect of sampling and time-dependent errors. We apply ZECS to large supercon…

Mitigating Audiovisual Mismatch in Visual-Guide Audio Captioning
Le Xu, Chenxing Li, Yong Ren, Yujie Chen, Yu Gu, Ruibo Fu, Shan Yang, Dong Yu
https://arxiv.org/abs/2505.22045

Mitigating Audiovisual Mismatch in Visual-Guide Audio Captioning
Current vision-guided audio captioning systems frequently fail to address audiovisual misalignment in real-world scenarios, such as dubbed content or off-screen sounds. To bridge this critical gap, we present an entropy-aware gated fusion framework that dynamically modulates visual information flow through cross-modal uncertainty quantification. Our novel approach employs attention entropy analysis in cross-attention layers to automatically identify and suppress misleading visual cues during mo…

This https://arxiv.org/abs/2503.22999 has been replaced.
initial toot: https://mastoxiv.page/@a…

Coarse-grained entropy balance of the Szilard engine
In order to reconcile the entropy reduction of a system through external interventions that are linked to a measurement with the second law of thermodynamics, there are two main proposals: (i) The entropy reduction is compensated by the entropy increase as a result of the measurement on the system (``Szilard principle"). (ii) The entropy reduction is compensated by the entropy increase as a result of the erasure of the measurement results (``Landauer/Bennett principle"). It seems that the LB pr…

Correlation Functions and Chaotic Behavior of the SYK Chain Model in Pure States
Seyyed M. H. Halataei
https://arxiv.org/abs/2506.01100 https://

Correlation Functions and Chaotic Behavior of the SYK Chain Model in Pure States
Recent investigations of Rényi entanglement entropy in the SYK chain of Majorana fermions have indicated that the model exhibits slow thermalization when initialized in certain states. The extent to which the heavy modes -- believed to underlie this behavior -- affect other aspects of the model remains an open question. In this work, I study thermalization and scrambling of information in individual energy eigenstates of the SYK chain using exact diagonalization. I show that two-point correlat…

This https://arxiv.org/abs/2205.07214 has been replaced.
link: https://scholar.google.com/scholar?q=a

Entropy Production for Discrete-Time Markov Processes
We study the multiple definitions of the entropy production for discrete-time Markov processes in single systems and composite systems. These definitions have been studied in single systems, but less so in composite systems. With a clear distinction, we review the equivalence condition and the meaning of the multiple definitions and show that all definitions satisfy the important property for the entropy production, such as non-negativity. We also show that the inequalities between total entrop…

This https://arxiv.org/abs/2406.15408 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Effects of a Vanishing Noise on Elementary Cellular Automata Phase-Space Structure
We investigate elementary cellular automata (ECA) from the point of view of (discrete) dynamical systems. By studying small lattice sizes, we obtain the complete phase space of all minimal ECA, and, starting from a maximal entropy distribution (all configurations equiprobable), we show how the dynamics affects this distribution. We then investigate how a vanishing noise alters this phase space, connecting attractors and modifying the asymptotic probability distribution. What is interesting is t…

Instantons and topological order in two-leg electron ladders: A universality class
S. -R. Eric Yang, Hyun Cheol Lee, Hoang-Anh Le, In-Hwan Lee
https://arxiv.org/abs/2505.24130

Instantons and topological order in two-leg electron ladders: A universality class
Our numerical study of the disordered Hubbard model with nearest-neighbor hopping shows that a two-leg electron ladder has a finite topological entanglement entropy in the regime where the density of states exhibits an exponentially decaying gap. The value of the topological entanglement entropy suggests that two-leg ladders belong to the same universality class as graphene zigzag nanoribbons, despite several structural differences. A Shankar-Witten-type bosonization Lagrangian with disorder ca…

Radial and Non-Radial Oscillations of Protoneutron Stars with Hyperonic Composition
Prashant Thakur, Adamu Issifu, Ishfaq Ahmad Rather, Y. Lim, Tobias Frederico
https://arxiv.org/abs/2505.24104

Radial and Non-Radial Oscillations of Protoneutron Stars with Hyperonic Composition
This paper explores radial and non-radial oscillations of protoneutron stars (PNSs) as they evolve from hot, neutrino-rich configurations through deleptonization to cold, catalyzed states. The equation of state (EoS) is modeled using a density-dependent relativistic mean-field framework, with stellar evolution characterized by changes in entropy and lepton fraction. Both nucleonic and hyperonic compositions are considered. Non-radial $f$- and $p_1$-mode oscillations are computed using both the …

This https://arxiv.org/abs/2311.03795 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Periodicity of dynamical signatures of chaos in quantum kicked top
A host of dynamical measures of quantum correlations -- out-of-time ordered correlators (OTOC), Loschmidt echo, generalized entanglement and observational entropy -- are useful to infer the underlying classical chaotic dynamics in quantum regime. In this work, these measures are employed to analyse quantum kicked top with kick strength $k$. It is shown that, despite the differences in their definitions, these measures are periodic with $k$, and the periodicity depends on the number of spins rep…

Electronic Temperature-Driven Phase Stability and Structural Evolution of Iron at High Pressure
S. Azadi, S. M. Vinko
https://arxiv.org/abs/2506.01809 http…

Electronic Temperature-Driven Phase Stability and Structural Evolution of Iron at High Pressure
We present Gibbs free-energy phase diagrams for compressed iron within a pressure range of 20 to 300 GPa and electronic temperature up to 3 eV obtained using finite-temperature density functional and density functional perturbation theories. Our results for bcc, fcc, and hcp phases predict solid-solid phase transitions in iron driven purely by electronic entropy and temperature. We found a phase transition from hcp to bcc at pressures above 200 GPa, which depends on the electronic temperature. …

The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions
Yuan Lian, Bin Zhu
https://arxiv.org/abs/2506.01805 https://

The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions
The Shannon-McMillan-Breiman theorem is one of the most important results in information theory, which can describe the random ergodic process, and its proof uses the famous Birkhoff ergodic theorem, so it can be seen that it plays a crucial role in ergodic theory. In this paper, the Shannon-McMillan-Breiman theorem in the random dynamical systems is proved from the perspective of an amenable group action, which provides a boost for the development of entropy theory in the random dynamical syst…

Landau Damping, Schr\"odinger equation, and Fluctuation Theorem
Hideo Sugama
https://arxiv.org/abs/2505.23110 https://arxiv.org/…

Landau Damping, Schrödinger equation, and Fluctuation Theorem
A linearized Vlasov-Poisson system of equations is transformed into a Schrödinger equation, which is used to demonstrate that the fluctuation theorem holds for the relative stochastic entropy, defined in terms of the probability density functional of the particle velocity distribution function in the Landau damping process. The difference between the energy perturbation, normalized by the equilibrium temperature, and the entropy perturbation constitutes a time-independent invariant of the syst…

On the entropy of the massive conformal gravity universe
F. F. Faria
https://arxiv.org/abs/2505.17171 https://arxiv.org/pdf/2505.1717…

On the entropy of the massive conformal gravity universe
We find that the total entropy of the massive conformal gravity universe is an increasing function of time, and therefore the cosmological model of the theory passes the generalized second law of thermodynamics test.

Disordering a permutation symmetric system: revivals, thermalization and chaos
Manju C, Uma Divakaran, Arul Lakshminarayan
https://arxiv.org/abs/2505.24453

Disordering a permutation symmetric system: revivals, thermalization and chaos
This study explores the effects of introducing a symmetry breaking disorder on the dynamics of a system invariant under particle permutation. The disorder forces quantum states, confined to the $N+1$ dimensional completely symmetric space to penetrate the exponentially large $2^N$ dimensional Hilbert space of $N$ particles. In particular, we focus on the quantum kicked top as a Floquet system of $N$ qubits, and use linear entropy, measuring single qubit entanglement, to investigate the changes …

This https://arxiv.org/abs/2406.15408 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_nli…

Effects of a Vanishing Noise on Elementary Cellular Automata Phase-Space Structure
We investigate elementary cellular automata (ECA) from the point of view of (discrete) dynamical systems. By studying small lattice sizes, we obtain the complete phase space of all minimal ECA, and, starting from a maximal entropy distribution (all configurations equiprobable), we show how the dynamics affects this distribution. We then investigate how a vanishing noise alters this phase space, connecting attractors and modifying the asymptotic probability distribution. What is interesting is t…

Planck Law from a Classical Free Energy Extremum Involving Fisher Information
Carlos A. Gomez-Uribe
https://arxiv.org/abs/2506.00586 https://

Planck Law from a Classical Free Energy Extremum Involving Fisher Information
We derive the Planck law from a classical variational principle over probability densities, without invoking quantum states, quantized oscillator energies, or ensemble averages. We construct a generalized free energy functional involving entropy and Fisher information, with weights determined by the dimensionless ratio of quantum to thermal energy. When extremized under a Gaussian ansatz, this functional yields the exact Planck distribution. The only quantum input is a minimal threshold assumpt…

This https://arxiv.org/abs/2504.13423 has been replaced.
link: https://scholar.google.com/scholar?q=a

Mixed Fractional Information: Consistency of Dissipation Measures for Stable Laws
Symmetric alpha-stable (S alpha S) distributions with alpha<2 lack finite classical Fisher information. Building on Johnson's framework, we define Mixed Fractional Information (MFI) via the initial rate of relative entropy dissipation during interpolation between S alpha S laws with differing scales, v and s. We demonstrate two equivalent formulations for MFI in this specific S alpha S-to-S alpha S setting. The first involves the derivative D'(v) of the relative entropy between the two S alpha …

This https://arxiv.org/abs/2407.09802 has been replaced.
link: https://scholar.google.com/scholar?q=a

Long-time signatures of chaos in large atom-light frequency ratios Rabi model
As one of the famous effects in quantum Rabi model (QRM), Rabi oscillation may lead to the occurrence of quantum dynamics behaviors without classical dynamic counterparts, such as quantum collapse and revival effects. In this paper, we focus on studying the long-time quantum signatures of chaos in the large atom-light frequency ratios Rabi model. It is shown that the saturated values of the entanglement entropy for initial states located in chaotic sea are higher than that in the regular region…

This https://arxiv.org/abs/2411.06332 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Quantum feedback induced entanglement relaxation and dynamical phase transition in monitored free fermion chains with Wannier-Stark ladder
In recent years, measurement induced entanglement transitions (MIETs) have attracted significant attention. However, the dynamical transition associated with the feedback induced skin effect, which exhibits a wealth of intriguing phenomena, has not been fully understood. In this work, we investigate a dynamical phase transition in a tilted free-fermion chain under measurement-feedback protocols, emphasizing the particle density and entanglement entropy dynamics. We reveal a feedback induced ski…

This https://arxiv.org/abs/2405.12897 has been replaced.
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From Single Genes to Populations: Quantifying Broken Detailed Balance in Transcription
Are there thermodynamic or information theoretic constraints governing mRNA expression? Here we use the framework of stochastic thermodynamics to assess detailed balance breaking in transcription. For the canonical two-state model of transcription, we derive exact analytic expressions for the entropy production rate of transcription at steady state, expressions that can be evaluated from knowledge of the kinetic parameters of the two-state model. This allows us to easily evaluate the entropy pr…