Tootfinder

Quantum stochastic analysis of non-linear driven light emission
Philipp Stammer
https://arxiv.org/abs/2508.09049 https://arxiv.org/pdf/2508.09049

Quantum stochastic analysis of non-linear driven light emission
This work extends quantum optical models of high harmonic generation by considering a quantum stochastic analysis of the field modes coupled to an environment. In particular, we study the open system dynamics by solving the quantum Langevin equation for a non-linear driven cavity coupled to the environment. For an unstructured environment without memory, we show that the emission characteristics of the intense driven cavity is isomorphic to the process of high harmonic generation and a non-line…

Identifiability of linear stochastic state-space models with application to ecology
Frederic Barraquand, Julien Gibaud
https://arxiv.org/abs/2508.08714 https://

Identifiability of linear stochastic state-space models with application to ecology
State-space models are dynamical systems defined by a latent and an observed process. In ecology, stochastic state-space models in discrete time are most often used to describe the imperfectly observed dynamics of population sizes or animal movement. However, several studies have observed identifiability issues when state-space models are fitted to simulated or real data, and it is not currently clear whether those are due to data limitations or more fundamental model non-identifiability. To in…

Analysis of divergent dynamics of exactly factorized electron-nuclear wavefunctions
Julian Stetzler (Department of Chemistry,Biochemistry, University of South Carolina, Columbia, USA), Sophya Garashchuk (Department of Chemistry,Biochemistry, University of South Carolina, Columbia, USA), Vitaly A. Rassolov (Department of Chemistry,Biochemistry, University of South Carolina, Columbia, USA)

Analysis of divergent dynamics of exactly factorized electron-nuclear wavefunctions
The Exact Factorization (XF) of molecular wavefunctions can be viewed as an 'electronic wavepacket' framework for quantum dynamics. It is an appealing alternative to the conventional non-adiabatic dynamics, unfolding in the space of coupled electronic eigenstates. However, implementation of the non-linear XF equations for general systems presents a formidable challenge: the XF counterparts to the non-adiabatic coupling involve division by the nuclear probability density, which leads to severe n…

Non-linear jog-dragging effect on the mobility law of edge dislocations in face-centered cubic nickel
Wu-Rong Jian, Yifan Wang, Wei Cai
https://arxiv.org/abs/2509.06512 https://…

Non-linear jog-dragging effect on the mobility law of edge dislocations in face-centered cubic nickel
Dislocation jogs have strong effects on dislocation motion that governs the strain-hardening behavior of crystalline solids, but how to properly account for their effect in mesoscale models remains poorly understood. We develop a mobility model for jogged edge dislocations in FCC nickel, based on systematic molecular dynamics (MD) simulations across a range of jog configurations, stresses, and temperatures. At low stresses, jogged edge dislocations exhibit non-linear, thermally activated draggi…

Non-Linear and Meta-Stable Dynamics in Financial Markets: Evidence from High Frequency Crypto Currency Market Makers
Igor Halperin
https://arxiv.org/abs/2509.02941 https://

Non-Linear and Meta-Stable Dynamics in Financial Markets: Evidence from High Frequency Crypto Currency Market Makers
This work builds upon the long-standing conjecture that linear diffusion models are inadequate for complex market dynamics. Specifically, it provides experimental validation for the author's prior arguments that realistic market dynamics are governed by higher-order (cubic and higher) non-linearities in the drift. As the diffusion drift is given by the negative gradient of a potential function, this means that a non-linear drift translates into a non-quadratic potential. These arguments were ba…

Bayesian Nonparametric Dynamical Clustering of Time Series
Adri\'an P\'erez-Herrero, Paulo F\'elix, Jes\'us Presedo, Carl Henrik Ek
https://arxiv.org/abs/2510.06919

Bayesian Nonparametric Dynamical Clustering of Time Series
We present a method that models the evolution of an unbounded number of time series clusters by switching among an unknown number of regimes with linear dynamics. We develop a Bayesian non-parametric approach using a hierarchical Dirichlet process as a prior on the parameters of a Switching Linear Dynamical System and a Gaussian process prior to model the statistical variations in amplitude and temporal alignment within each cluster. By modeling the evolution of time series patterns, the method…

Probing the Weak Gravity Conjecture: Novel Aschenbach Signatures in Superextremal Non-Linear Charged AdS Black Holes
Mohammad Reza Alipour, Mohammad Ali S Afshar, Saeed Noori Gashti, Behnam Pourhassan, Jafar Sadeghi
https://arxiv.org/abs/2508.03185

Probing the Weak Gravity Conjecture: Novel Aschenbach Signatures in Superextremal Non-Linear Charged AdS Black Holes
This study investigates the nonlinear charged Anti-de Sitter (AdS) black hole solution within the framework of massive gravity, motivated by recent advancements linking the Weak Gravity Conjecture (WGC) to phenomena such as Weak Cosmic Censorship Conjecture (WCCC) and photon sphere dynamics. Building on these foundations, we focus on the Aschenbach effect-a relativistic phenomenon intricately tied to the geometry of photon spheres and known to occur in some special sub-extremal non rotating bla…

Information Transport in Classic-Quantum Hybrid System
Julian Rapp, Radhika H. Joshi, Alwin van Steensel, Yuli V. Nazarov, Mohammad H. Ansari
https://arxiv.org/abs/2508.07870 ht…

Information Transport in Classic-Quantum Hybrid System
Many important quantities in quantum information science, such as entropy and entanglement, are non-linear functions of the density matrix and cannot be expressed as operator observables. Standard open-system approaches evolve only a single copy of the density matrix, making it impossible to track the dynamics of such quantities. A formalism proposed by some of the present authors addressed this challenge by evolving multiple virtual replicas, but was limited to the weak-coupling regime. Here, …

Topolectrical circuit theory and realizations of topological, non-linear, and non-Hermitian phenomena
Haydar Sahin
https://arxiv.org/abs/2508.00964 https://

Topolectrical circuit theory and realizations of topological, non-linear, and non-Hermitian phenomena
Electrical circuits offer a unique platform to explore physical phenomena, from topology to non-Hermitian effects. Investigations of the fundamental properties of this metamaterial platform are crucial to distinguish observed/measured quantities from intrinsic circuit responses. In this thesis, we delve into the analysis of voltage and impedance responses and their role in unveiling complex dynamics and profound physical principles. We reveal that even the simplest one-dimensional circuits exhi…

Nambu Non-equilibrium Thermodynamics I: Foundation
So Katagiri, Yoshiki Matsuoka, Akio Sugamoto
https://arxiv.org/abs/2508.00207 https://arxiv.org/pdf/2508…

Nambu Non-equilibrium Thermodynamics I: Foundation
We propose a novel framework of non-equilibrium thermodynamics, termed Nambu Non-equilibrium Thermodynamics (NNET), which integrates reversible dynamics governed by the Nambu bracket with irreversible dynamics driven by entropy gradients. This framework is developed axiomatically and enables the description of far-from-equilibrium systems in which entropy can transiently decrease -- a regime difficult to handle within conventional approaches such as Onsager's linear response theory, Prigogine's…

Non-Linear Dynamics and Critical Phenomena in the Aretakis Instability of Extremal Black p-Branes
Behnam Pourhassan
https://arxiv.org/abs/2507.16023 https:…

Non-Linear Dynamics and Critical Phenomena in the Aretakis Instability of Extremal Black p-Branes
We present the first comprehensive investigation of the non-linear evolution of the Aretakis instability in extremal black $p$-branes. Building on recent insights into the linear behavior of perturbations in near-horizon AdS$_{p+2} \times S^{D-p-2}$ geometries, we explore the full non-linear regime using a combination of analytical scaling arguments and numerical simulations. We uncover a universal critical behavior governed by scaling exponents that depend only on the spacetime dimension $D$ a…

Non-linear Dynamics and Primordial Black Hole Formation During Kination
Cheng Cheng, Panagiotis Giannadakis, Lucien Heurtier, Eugene A. Lim
https://arxiv.org/abs/2507.19166 http…

Non-linear Dynamics and Primordial Black Hole Formation During Kination
We investigate the effects of large scalar inhomogeneities during the kination epoch, a period in which the universe's dynamics are dominated by the kinetic energy of a scalar field, by fully evolving the Einstein equations using numerical relativity. By tracking the non-linear growth of scalar perturbations with both sub-horizon and super-horizon initial wavelengths, we are able to compare their evolution to perturbative results. Our key findings show that in the deep sub-horizon limit, the pe…

NLDSI-BWE: Non Linear Dynamical Systems-Inspired Multi Resolution Discriminators for Speech Bandwidth Extension
Tarikul Islam Tamiti, Anomadarshi Barua
https://arxiv.org/abs/2510.01109

NLDSI-BWE: Non Linear Dynamical Systems-Inspired Multi Resolution Discriminators for Speech Bandwidth Extension
In this paper, we design two nonlinear dynamical systems-inspired discriminators -- the Multi-Scale Recurrence Discriminator (MSRD) and the Multi-Resolution Lyapunov Discriminator (MRLD) -- to \textit{explicitly} model the inherent deterministic chaos of speech. MSRD is designed based on Recurrence representations to capture self-similarity dynamics. MRLD is designed based on Lyapunov exponents to capture nonlinear fluctuations and sensitivity to initial conditions. Through extensive design opt…

Very High Frequency Interpolation for Direct Torque Control
Rafael Kourdis, Maciej St\k{e}pie\'n, J\'er\^ome Manhes, Nicolas Mansard, Steve Tonneau, Philippe Sou\`eres, Thomas Flayols
https://arxiv.org/abs/2509.24175

Very High Frequency Interpolation for Direct Torque Control
Torque control enables agile and robust robot motion, but deployment is often hindered by instability and hardware limits. Here, we present a novel solution to execute whole-body linear feedback at up to 40 kHz on open-source hardware. We use this to interpolate non-linear schemes during real-world execution, such as inverse dynamics and learned torque policies. Our results show that by stabilizing torque controllers, high-frequency linear feedback could be an effective route towards unlocking …

Avoiding Beam Instabilities and Resonances With Circular Modes
Onur Gilanliogullari, Brahim Mustapha, Pavel Snopok
https://arxiv.org/abs/2509.07694 https://

Avoiding Beam Instabilities and Resonances With Circular Modes
Beam instabilities and resonances affect the transverse dynamics in particle accelerators and, when encountered, can trigger emittance growth and beam loss. Resonance lines originate from non linear elements and effects in the lattice, imposing strict constraints on the choice of working points and narrowing the available tune space. Circular modes are round coupled beams with non zero angular momentum, provide an alternative beam motion and dynamics. In this study, we derive the third-order se…

Orchestrator: Active Inference for Multi-Agent Systems in Long-Horizon Tasks
Lukas Beckenbauer, Johannes-Lucas Loewe, Ge Zheng, Alexandra Brintrup
https://arxiv.org/abs/2509.05651

Orchestrator: Active Inference for Multi-Agent Systems in Long-Horizon Tasks
Complex, non-linear tasks challenge LLM-enhanced multi-agent systems (MAS) due to partial observability and suboptimal coordination. We propose Orchestrator, a novel MAS framework that leverages attention-inspired self-emergent coordination and reflective benchmarking to optimize global task performance. Orchestrator introduces a monitoring mechanism to track agent-environment dynamics, using active inference benchmarks to optimize system behavior. By tracking agent-to-agent and agent-to-enviro…

Explainability-Driven Feature Engineering for Mid-Term Electricity Load Forecasting in ERCOT's SCENT Region
Abhiram Bhupatiraju, Sung Bum Ahn
https://arxiv.org/abs/2507.22220

Explainability-Driven Feature Engineering for Mid-Term Electricity Load Forecasting in ERCOT's SCENT Region
Accurate load forecasting is essential to the operation of modern electric power systems. Given the sensitivity of electricity demand to weather variability and temporal dynamics, capturing non-linear patterns is essential for long-term planning. This paper presents a comparative analysis of machine learning models, Linear Regression, XGBoost, LightGBM, and Long Short-Term Memory (LSTM), for forecasting system-wide electricity load up to one year in advance. Midterm forecasting has shown to be …

Beyond Linearity and Time-homogeneity: Relational Hyper Event Models with Time-Varying Non-Linear Effects
Martina Boschi, J\"urgen Lerner, Ernst C. Wit
https://arxiv.org/abs/2509.05289

Beyond Linearity and Time-homogeneity: Relational Hyper Event Models with Time-Varying Non-Linear Effects
Recent technological advances have made it easier to collect large and complex networks of time-stamped relational events connecting two or more entities. Relational hyper-event models (RHEMs) aim to explain the dynamics of these events by modeling the event rate as a function of statistics based on past history and external information. However, despite the complexity of the data, most current RHEM approaches still rely on a linearity assumption to model this relationship. In this work, we a…

Stability of surfactant-laden double-layered viscoelastic fluids flowing over an inclined plane
Md. Mouzakkir Hossain, Mohamin B. M. Khan, Youchuang Chao
https://arxiv.org/abs/2510.04250

Stability of surfactant-laden double-layered viscoelastic fluids flowing over an inclined plane
The linear dynamics and instability mechanisms of double-layered weakly viscoelastic fluid flowing over an inclined plane are analyzed in the presence of insoluble surfactant at both the free surface and interface. The constitutive equation of the non-Newtonian flow field follows the rheological property of Walters' $B^{''}$ model. The Orr-Sommerfeld-type boundary value problem is derived using the classical normal-mode approach and numerically solved within the framework of the Chebyshev spect…

On the decoherence of Majorana zero modes mediated by gapless fermions
Sauri Bhattacharyya, Marco Grilli, Bernard van Heck
https://arxiv.org/abs/2510.07893 https://

On the decoherence of Majorana zero modes mediated by gapless fermions
We study the decoherence of a collection of Majorana zero modes weakly coupled to a gapless reservoir of non-interacting fermions. Using the Born-Markov approximation, we derive a Lindblad master equation for the dissipative dynamics of the Majorana zero modes. Due to the long-range coupling between Majorana zero modes mediated by the gapless reservoir, the Lindblad jump operators are non-local linear combinations of the Majorana operators. We show that, as a consequence, the dissipative dynami…

Intermittent--synchronization in non-weakly coupled piecewise linear expanding map lattice: a geometric-combinatorics method
Junke Zhang, Yiqian Wang
https://arxiv.org/abs/2507.14646

Intermittent--synchronization in non-weakly coupled piecewise linear expanding map lattice: a geometric-combinatorics method
The coupled (chaotic) map lattices (CMLs) characterizes the collective dynamics of a spatially distributed system consisting of locally or globally coupled maps. The current research on the dynamic behavior of CMLs is based on the framework of the Perron-Frobenius operator and mainly focuses on weakly-coupled cases. In this paper, a novel geometric-combinatorics method for for non weakly-coupled CMLs is provided on the dynamical behavior of a two-node CMLs with identical piecewise linear expand…

Transition from exceptional points to observable nonlinear bifurcation points in anti-PT symmetric coupled cavity systems
Takahiro Uemura, Kenta Takata, Masaya Notomi
https://arxiv.org/abs/2509.01062

Transition from exceptional points to observable nonlinear bifurcation points in anti-PT symmetric coupled cavity systems
Exceptional points (EPs) in anti-parity-time (APT)-symmetric systems have attracted significant interest. While linear APT-symmetric systems exhibit structural similarities with nonlinear dissipative systems, such as mutually injection-locked lasers, the correspondence between exceptional points in linear non-Hermitian Hamiltonians and bifurcation phenomena in nonlinear lasing dynamics has remained unclear. We demonstrated that, in a two-cavity system with APT symmetry and gain saturation nonli…

Crosslisted article(s) found for q-fin.TR. https://arxiv.org/list/q-fin.TR/new
[1/1]:
- Non-Linear and Meta-Stable Dynamics in Financial Markets: Evidence from High Frequency Crypto Cur...
Igor Halperin

Nambu Non-equilibrium Thermodynamics II:Reduction of a complex system to a simple one
So Katagiri, Yoshiki Matsuoka, Akio Sugamoto
https://arxiv.org/abs/2508.19455 https://

Nambu Non-equilibrium Thermodynamics II:Reduction of a complex system to a simple one
Non-equilibrium thermodynamics far from equilibrium is investigated in terms of a generalized ``Nambu dynamics'' (termed Nambu non-equilibrium thermodynamics (NNET)); NNET consists of Nambu dynamics with multiple Hamiltonians and an entropy causing dissipation. It is shown that a general complex non-linear non-equilibrium system far from equilibrium can be reduced to a simple NNET, on the basis of an existence proposition of NNET. This proposition is, however, proved only formally, so that th…

Entanglement dynamics of monitored non-interacting fermions on Graphic-Processing-Units
Bo Fan, Can Yin, Antonio M. Garc\'ia-Garc\'ia
https://arxiv.org/abs/2508.18468 ht…

Entanglement dynamics of monitored non-interacting fermions on Graphic-Processing-Units
The description of the entanglement dynamics of monitored non-interacting fermions, including the existence of measurement-induced phase transitions (MIPT), is a challenging problem with conflicting results in the literature. The mapping of the problem onto a non-linear sigma model (NLSM) indicates that relatively large lattice sizes are required to determine the nature of the entanglement entropy (EE) in the thermodynamics limit. Here we address this problem numerically for monitored non-inter…

Acausality-driven instabilities in relativistic viscous hydrodynamics
Lorenzo Gavassino, Henry Hirvonen, Jean-Fran\c{c}ois Paquet, Mayank Singh, Gabriel Soares Rocha
https://arxiv.org/abs/2508.04918

Acausality-driven instabilities in relativistic viscous hydrodynamics
We investigate non-linear instabilities stemming from superluminal propagation of information in relativistic viscous fluid dynamics. In relativity, the characteristic speed of propagation of information, $w$, and the speed of the fluid, $v$, allow us to differentiate between regimes of the hydrodynamic equations that are acausal but stable ($w>1$), unstable ($v^{2} w^{2} \geq 1$), and covariantly ill-posed ($w^{2} \leq 0$). As an analytical benchmark, we present a new solution that illustrates…

A Single-Equation Approach to Classifying Neuronal Operational Modes
Lindsey Knowles, Cesar Ceballos, Rodrigo Pena
https://arxiv.org/abs/2510.01386 https://

A Single-Equation Approach to Classifying Neuronal Operational Modes
The neural coding is yet to be discovered. The neuronal operational modes that arise with fixed inputs but with varying degrees of stimulation help to elucidate their coding properties. In neurons receiving in vivo stimulation, we show that two operation modes can be described with simplified models: the coincidence detection mode and the integration mode. Our derivations include a simplified polynomial model with non-linear coefficients betam that captures the subthreshold dynamics of these mo…

Hierarchical Analysis and Control of Epidemic Spreading over Networks using Dissipativity and Mesh Stability
Shirantha Welikala, Hai Lin, Panos J. Antsaklis
https://arxiv.org/abs/2509.24665

Hierarchical Analysis and Control of Epidemic Spreading over Networks using Dissipativity and Mesh Stability
Analyzing and controlling spreading processes are challenging problems due to the involved non-linear node (subsystem) dynamics, unknown disturbances, complex interconnections, and the large-scale and multi-level nature of the problems. The dissipativity concept provides a practical framework for addressing such concerns, thanks to the energy-based representation it offers for subsystems and the compositional properties it provides for the analysis and control of interconnected (networked) syst…

A Penalized Distributed Lag Non-Linear Lee-Carter Framework for Regional Weekly Mortality Forecasting
Jens Robben, Karim Barigou
https://arxiv.org/abs/2509.24087 https://…

A Penalized Distributed Lag Non-Linear Lee-Carter Framework for Regional Weekly Mortality Forecasting
Accurate forecasts of weekly mortality are essential for public health and the insurance industry. We develop a forecasting framework that extends the Lee-Carter model with age- and region-specific seasonal effects and penalized distributed lag non-linear components that capture the delayed and non-linear effects of heat, cold, and influenza on mortality. The model accommodates overdispersed mortality rates via a negative binomial distribution. We model the temporal dynamics of the latent facto…

Option pricing under non-Markovian stochastic volatility models: A deep signature approach
Jingtang Ma, Xianglin Wu, Wenyuan Li
https://arxiv.org/abs/2508.15237 https://

Option pricing under non-Markovian stochastic volatility models: A deep signature approach
This paper studies the pricing problem in which the underlying asset follows a non-Markovian stochastic volatility model. Classical partial differential equation methods face significant challenges in this context, as the option prices depend not only on the current state, but also on the entire historical path of the process. To overcome these difficulties, we reformulate the asset dynamics as a rough stochastic differential equation and then represent the rough paths via linear or non-linear …

Crosslisted article(s) found for q-fin.GN. https://arxiv.org/list/q-fin.GN/new
[1/1]:
- Non-Linear and Meta-Stable Dynamics in Financial Markets: Evidence from High Frequency Crypto Cur...
Igor Halperin

Replaced article(s) found for q-bio.QM. https://arxiv.org/list/q-bio.QM/new
[1/1]:
- Simulating stochastic population dynamics: The Linear Noise Approximation can capture non-linear ...
Frederick Truman-Williams, Giorgos Minas

Optimal Control of ODE Car-Following Models: Applications to Mixed-Autonomy Platoon Control via Coupled Autonomous Vehicles
Arwa Alanqary, Alexandre M. Bayen, Xiaoqian Gong, Anish Gollakota, Alexander Keimer, Ashish Pandian
https://arxiv.org/abs/2508.19417

Optimal Control of ODE Car-Following Models: Applications to Mixed-Autonomy Platoon Control via Coupled Autonomous Vehicles
In this paper, we study the optimal control of a mixed-autonomy platoon driving on a single lane to smooth traffic flow. The platoon consists of autonomous vehicles, whose acceleration is controlled, and human-driven vehicles, whose behavior is described using a microscopic car-following model. We formulate the optimal control problem where the dynamics of the platoon are describing through a system of non-linear ODEs, with explicit constraints on both the state and the control variables. Theor…

Quantum enhanced ensemble GANs for anomaly detection in continuous biomanufacturing
Rajiv Kailasanathan, William R. Clements, Mohammad Reza Boskabadi, Shawn M. Gibford, Emmanouil Papadakis, Christopher J. Savoie, Seyed Soheil Mansouri
https://arxiv.org/abs/2508.21438

Quantum enhanced ensemble GANs for anomaly detection in continuous biomanufacturing
The development of continuous biomanufacturing processes requires robust and early anomaly detection, since even minor deviations can compromise yield and stability, leading to disruptions in scheduling, reduced weekly production, and diminished economic performance. These processes are inherently complex and exhibit non-linear dynamics with intricate relationships between process variables, thus making advanced methods for anomaly detection essential for efficient operation. In this work, we p…

Optimal quantum simulation of linear non-unitary dynamics
Guang Hao Low, Rolando D. Somma
https://arxiv.org/abs/2508.19238 https://arxiv.org/pdf/2508.19238…

Optimal quantum simulation of linear non-unitary dynamics
We present a quantum algorithm for simulating the time evolution generated by any bounded, time-dependent operator $-A$ with non-positive logarithmic norm, thereby serving as a natural generalization of the Hamiltonian simulation problem. Our method generalizes the recent Linear-Combination-of-Hamiltonian-Simulation (LCHS) framework. In instances where $A$ is time-independent, we provide a block-encoding of the evolution operator $e^{-At}$ with $\mathcal{O}\big(t\log\frac{1}ε)$ queries to the …

Neural Brownian Motion
Qian Qi
https://arxiv.org/abs/2507.14499 https://arxiv.org/pdf/2507.14499

Neural Brownian Motion
This paper introduces the Neural-Brownian Motion (NBM), a new class of stochastic processes for modeling dynamics under learned uncertainty. The NBM is defined axiomatically by replacing the classical martingale property with respect to linear expectation with one relative to a non-linear Neural Expectation Operator, $\varepsilon^θ$, generated by a Backward Stochastic Differential Equation (BSDE) whose driver $f_θ$ is parameterized by a neural network. Our main result is a representation theo…

Laboratory observation of internal gravity wave turbulence in a three-dimensional, large-scale facility
Nicolas Lanchon, Samuel Boury, Pierre-Philippe Cortet
https://arxiv.org/abs/2508.19792

Laboratory observation of internal gravity wave turbulence in a three-dimensional, large-scale facility
The search for solutions to the theory of weakly non-linear internal gravity wave turbulence is an active research topic. It is notably stimulated by the fact that this regime could drive fine-scale ocean dynamics for which the identification of a physical model could yield improved parametrizations in global oceanic models. In this context, analytical works lead to diverse predictions and the experimental observation of a regime of developed weakly-non-linear internal wave turbulence constitut…

Replaced article(s) found for q-bio.MN. https://arxiv.org/list/q-bio.MN/new
[1/1]:
- Simulating stochastic population dynamics: The Linear Noise Approximation can capture non-linear ...
Frederick Truman-Williams, Giorgos Minas

Vector Resonant Relaxation and Statistical Closure Theory. II. One-loop Closure
Sofia Flores, Jean-Baptiste Fouvry
https://arxiv.org/abs/2509.22164 https://

Vector Resonant Relaxation and Statistical Closure Theory. II. One-loop Closure
We use stellar dynamics as a testbed for statistical closure theory. We focus on the process of "Vector Resonant Relaxation," a long-range, non-linear, and correlated relaxation mechanism that drives the reorientation of stellar orbital planes around a supermassive black hole. This process provides a natural setting to evaluate the predictive power of generic statistical closure schemes for dynamical correlation functions, in the fully non-linear and non-perturbative regime. We develop a numeri…

Canonical Bayesian Linear System Identification
Andrey Bryutkin, Matthew E. Levine, I\~nigo Urteaga, Youssef Marzouk
https://arxiv.org/abs/2507.11535 https…

Canonical Bayesian Linear System Identification
Standard Bayesian approaches for linear time-invariant (LTI) system identification are hindered by parameter non-identifiability; the resulting complex, multi-modal posteriors make inference inefficient and impractical. We solve this problem by embedding canonical forms of LTI systems within the Bayesian framework. We rigorously establish that inference in these minimal parameterizations fully captures all invariant system dynamics (e.g., transfer functions, eigenvalues, predictive distribution…

The energy dependence of exclusive heavy vector meson photoproduction cross-sections and NLO BFKL evolution
Martin Hentschinski, Ricardo Rangel Ram\'irez
https://arxiv.org/abs/2508.11545

The energy dependence of exclusive heavy vector meson photoproduction cross-sections and NLO BFKL evolution
We study the energy dependence of the cross-section for exclusive photoproduction of vector mesons $J/ψ$ and $Υ$, using a solution to the next-to-leading order (NLO) Balitsky-Fadin-Kuraev-Lipatov (BFKL) equation. Our goal is to use BFKL evolution as a benchmark to provide evidence for the presence of non-linear QCD dynamics and signs for the onset of gluon saturation at highest center of mass energies. Our approach determines initial conditions for the proton from the Bartels-Golec Biernat-Ko…

Investigating Mobility in Spatial Biodiversity Models through Recurrence Quantification Analysis
Matheus Palmero, Matheus Bongestab
https://arxiv.org/abs/2507.18595 https://

Investigating Mobility in Spatial Biodiversity Models through Recurrence Quantification Analysis
Recurrence plots and their associated quantifiers provide a robust framework for detecting and characterising complex patterns in non-linear time-series. In this paper, we employ recurrence quantification analysis to investigate the dynamics of the cyclic, non-hierarchical May-Leonard model, also referred to as rock--paper--scissors systems, that describes competitive interactions among three species. A crucial control parameter in these systems is the species' mobility $m$, which governs the s…

A general action for a particle in 2 1 anti-de Sitter space
Carles Batlle, Joaquim Gomis
https://arxiv.org/abs/2509.18959 https://arxiv.org/pdf/2509.18959

Hyperbolic Embeddings for Order-Aware Classification of Audio Effect Chains
Aogu Wada, Tomohiko Nakamura, Hiroshi Saruwatari
https://arxiv.org/abs/2507.20624 https://

Hyperbolic Embeddings for Order-Aware Classification of Audio Effect Chains
Audio effects (AFXs) are essential tools in music production, frequently applied in chains to shape timbre and dynamics. The order of AFXs in a chain plays a crucial role in determining the final sound, particularly when non-linear (e.g., distortion) or time-variant (e.g., chorus) processors are involved. Despite its importance, most AFX-related studies have primarily focused on estimating effect types and their parameters from a wet signal. To address this gap, we formulate AFX chain recogniti…

A spherical hydrodynamical model of cosmic voids in {\Lambda}CDM and beyond
Tommaso Moretti, Giovanni Verza, Noemi Frusciante, Franceso Pace
https://arxiv.org/abs/2507.14120

A spherical hydrodynamical model of cosmic voids in ΛCDM and beyond
Cosmic voids have emerged as powerful probes for cosmology, providing complementary information on the large-scale structure of the universe. We present the first application of a hydrodynamical framework to model the evolution of cosmic voids. This approach offers a physically intuitive characterization of void dynamics and can naturally be applied to non-standard cosmologies. We derive the cosmology-dependent mapping that relates the linear (Lagrangian) and fully non-linear (Eulerian) evoluti…

A local limit theorem for a random walk in an intermittent dynamical environment
Juho Lepp\"anen
https://arxiv.org/abs/2509.15158 https://arxiv.org/pd…

A local limit theorem for a random walk in an intermittent dynamical environment
We study an extended dynamical system on the non-negative real line with piecewise linear non-uniformly expanding local dynamics. With a uniformly distributed initial state, the distribution of the successive states coincides with that of a random walk in an inhomogeneous environment. Under suitable conditions on the environment, we establish a central limit theorem and a (non-Gaussian) local limit theorem for the walk. Our approach builds on the work of Leskelä and Stenlund (Stochastic Proces…

Optimal control of stochastic homogenous systems
Ying Hu, Xiaomin Shi, Zuo Quan Xu
https://arxiv.org/abs/2507.21576 https://arxiv.org/pdf/2507.21576…

Optimal control of stochastic homogenous systems
This paper investigates a new class of homogeneous stochastic control problems with cone control constraints, extending the classical homogeneous stochastic linear-quadratic (LQ) framework to encompass nonlinear system dynamics and non-quadratic cost functionals. We demonstrate that, analogous to the LQ case, the optimal controls and value functions for these generalized problems are intimately connected to a novel class of highly nonlinear backward stochastic differential equations (BSDEs). We…

Superresolving Non-linear PDE Dynamics with Reduced-Order Autodifferentiable Ensemble Kalman Filtering For Turbulence Modeling and Flow Regulation
Mrigank Dhingra, Omer San
https://arxiv.org/abs/2509.12149

Superresolving Non-linear PDE Dynamics with Reduced-Order Autodifferentiable Ensemble Kalman Filtering For Turbulence Modeling and Flow Regulation
Accurately reconstructing and forecasting high-resolution (HR) states from computationally cheap low-resolution (LR) observations is central to estimation-and-control of spatio-temporal PDE systems. We develop a unified superresolution pipeline based on the reduced-order autodifferentiable Ensemble Kalman filter (ROAD-EnKF). The method learns a low-dimensional latent dynamics model and a nonlinear decoder from latent variables to HR fields; the learned pair is embedded in an EnKF, enabling simu…

Anomalous diffusion and run-and-tumble motion of a chemotactic particle in low dimensions
Jacopo Romano, Andrea Gambassi
https://arxiv.org/abs/2508.20756 https://

Anomalous diffusion and run-and-tumble motion of a chemotactic particle in low dimensions
We study the stochastic dynamics of a symmetric self-chemotactic particle and determine the long-time behavior of its mean squared displacement (MSD). The attractive or repulsive interaction of the particle with the chemical field that it generates induces a non-linear, non-Markovian effective dynamics, which results into anomalous diffusion for spatial dimensions $d \leq 2$. In one spatial dimension, we map the case of repulsive chemotaxis onto a run-and-tumble-like dynamics, leading to an MSD…

Theoretical modeling and quantitative research on aquatic ecosystems driven by multiple factors
Haizhao Guan, Yiyuan Niu, Chuanjin Zu, Ju Kang
https://arxiv.org/abs/2507.19553 h…

Theoretical modeling and quantitative research on aquatic ecosystems driven by multiple factors
Understanding the complex interactions between water temperature, nutrient levels, and chlorophyll-a dynamics is essential for addressing eutrophication and the proliferation of harmful algal blooms in freshwater ecosystems algal. However, many existing studies tend to oversimplify thse relationships often neglecting the non-linear effects and long-term temporal variations that influence chlorophyll-a growth. Here, we conducted multi-year field monitoring (2020-2024) of the key environmental fa…

Machine learning approach to single-shot multiparameter estimation for the non-linear Schr\"odinger equation
Louis Rossignol, Tangui Aladjidi, Myrann Baker-Rasooli, Quentin Glorieux
https://arxiv.org/abs/2509.18479

Machine learning approach to single-shot multiparameter estimation for the non-linear Schrödinger equation
The nonlinear Schrödinger equation (NLSE) is a fundamental model for wave dynamics in nonlinear media ranging from optical fibers to Bose-Einstein condensates. Accurately estimating its parameters, which are often strongly correlated, from a single measurement remains a significant challenge. We address this problem by treating parameter estimation as an inverse problem and training a neural network to invert the NLSE mapping. We combine a fast numerical solver with a machine learning approach…

On the Viability of Weak Energy Condition Violation in Parity-Violating Electrodynamics
Tao Huang
https://arxiv.org/abs/2509.18188 https://arxiv.org/pdf/25…

Analytical solution of a free-fermion chain with time-dependent ramps
Viktor Eisler, Riccarda Bonsignori, Stefano Scopa
https://arxiv.org/abs/2510.03112 https://

Analytical solution of a free-fermion chain with time-dependent ramps
We provide an exact analytical solution of the single-particle Schrödinger equation for a chain of non-interacting fermions subject to a time-dependent linear potential, with its slope varied as an arbitrary function of time. The resulting dynamics exhibit self-similar behavior, with a structure reminiscent of the domain wall melting problem, albeit characterized by a nontrivial time-dependent length scale and phase. Building on this solution, we derive hydrodynamic predictions for the evoluti…

Finite-Width Neural Tangent Kernels from Feynman Diagrams
Max Guillen, Philipp Misof, Jan E. Gerken
https://arxiv.org/abs/2508.11522 https://arxiv.org/pdf/…

Finite-Width Neural Tangent Kernels from Feynman Diagrams
Neural tangent kernels (NTKs) are a powerful tool for analyzing deep, non-linear neural networks. In the infinite-width limit, NTKs can easily be computed for most common architectures, yielding full analytic control over the training dynamics. However, at infinite width, important properties of training such as NTK evolution or feature learning are absent. Nevertheless, finite width effects can be included by computing corrections to the Gaussian statistics at infinite width. We introduce Feyn…

Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations
Gengzhi Yang, Akwum Onwunta, Dong An
https://arxiv.org/abs/2508.15170

Quantum Differential Equation Solvers with Low State Preparation Cost: Eliminating the Time Dependence in Dissipative Equations
Linear dissipative differential equation is a fundamental model for a large number of physical systems, such as quantum dynamics with non-Hermitian Hamiltonian, open quantum system dynamics, diffusion process and damped system. In this work, we propose efficient quantum algorithms for simulating linear dissipative differential equations. The key idea of our algorithms is to perform the simulation only over an effective time period when the dynamics has not significantly dissipated yet, rather t…

Finite size effect in the persistence probability of the Edwards-Wilkinson model of surface growth and effect of non-linearity
Anirban Ghosh, Dipanjan Chakraborty
https://arxiv.org/abs/2507.20149

Finite size effect in the persistence probability of the Edwards-Wilkinson model of surface growth and effect of non-linearity
The dynamical evolution of the surface height is controlled by either a linear or a nonlinear Langevin equation, depending on the underlying microscopic dynamics, and is often done theoretically using stochastic coarse-grained growth equations. The persistence probability $p(t)$ of stochastic models of surface growth that are constrained by a finite system size is examined in this work. We focus on the linear Edwards-Wilkinson model (EW) and the nonlinear Kardar-Parisi-Zhang model…

Frequency comb in twisted magnonic crystals
Minghao Li, Zhejunyu Jin, Zhaozhuo Zeng, Peng Yan
https://arxiv.org/abs/2507.10922 https://

Frequency comb in twisted magnonic crystals
While twisted magnonic crystals (MCs) have recently gained attention for their intriguing linear phenomena, such as magnon flat bands, their nonlinear dynamics -- particularly the generation of magnonic frequency combs (MFCs) -- have remained largely unexplored. In this work, we demonstrate the creation of MFCs in twisted MCs using two-tone microwave excitation. We find that finite twist angles significantly enhance three-magnon interactions, driven by the non-collinear ground-state magnetic co…

Replaced article(s) found for physics.flu-dyn. https://arxiv.org/list/physics.flu-dyn/new
[1/1]:
- Self-similarity and growth of non-linear magnetic Rayleigh-Taylor instability -- Role of the magn...
Manohar Teja Kalluri, Andrew Hillier

High harmonic generation from a Bose-Einstein condensate
Philipp Stammer
https://arxiv.org/abs/2509.19022 https://arxiv.org/pdf/2509.19022

Anomalous statistics in the Langevin equation with fluctuating diffusivity: from Brownian yet non-Gaussian diffusion to anomalous diffusion and ergodicity breaking
Takuma Akimoto, Jae-Hyung Jeon, Ralf Metzler, Tomoshige Miyaguchi, Takashi Uneyama, Eiji Yamamoto
https://arxiv.org/abs/2509.12571

Anomalous statistics in the Langevin equation with fluctuating diffusivity: from Brownian yet non-Gaussian diffusion to anomalous diffusion and ergodicity breaking
Diffusive motion is a fundamental transport mechanism in physical and biological systems, governing dynamics across a wide range of scales -- from molecular transport to animal foraging. In many complex systems, however, diffusion deviates from classical Brownian behaviour, exhibiting striking phenomena such as Brownian yet non-Gaussian diffusion (BYNGD) and anomalous diffusion. BYNGD describes a frequently observed statistical feature characterised by the coexistence of linear mean-square disp…