Non-stationary Anderson localization

Authors: Gorodetski, Anton, Kleptsyn, Victor

Source: Communications of the American Mathematical Society. 5:81-143

Subject Terms: Probability (math.PR), Nonautonomous smooth dynamical systems, Dynamical Systems (math.DS), General theory of random and stochastic dynamical systems, Dynamical systems and their relations with probability theory and stochastic processes, Mathematics - Spectral Theory, Random matrices (probabilistic aspects), Large deviations, Discrete-time Markov processes on general state spaces, FOS: Mathematics, Mathematics - Dynamical Systems, Spectral Theory (math.SP), Mathematics - Probability, Selfadjoint operator theory in quantum theory, including spectral analysis, 47B80, 60H25, 37H99

File Description: application/xml

Access URL: http://arxiv.org/abs/2403.15970
https://zbmath.org/8037087
https://doi.org/10.1090/cams/45

Quantization dimensions for inhomogeneous bi-Lipschitz iterated function systems

Authors: Amit Priyadarshi, Mrinal K. Roychowdhury, Manuj Verma

Source: Monatshefte für Mathematik. 207:125-140

Subject Terms: Dynamical systems and their relations with probability theory and stochastic processes, Fractals, probability measure, inhomogeneous IFS, Probability (math.PR), quantization error, FOS: Mathematics, 37A50, 28A80, 94A34, Rate-distortion theory in information and communication theory, quantization dimension, Mathematics - Probability

File Description: application/xml

Access URL: http://arxiv.org/abs/2303.14731
https://zbmath.org/8035662
https://doi.org/10.1007/s00605-025-02063-4

Poisson limit theorems for systems with product structure

Authors: Auer, Max

Source: Discrete and Continuous Dynamical Systems. 45:1454-1491

Subject Terms: ergodic theory, limit distribution, Ergodicity, mixing, rates of mixing, Central limit and other weak theorems, Poisson process, Dynamical Systems (math.DS), Measure-preserving transformations, 01 natural sciences, rare events, Dynamical systems and their relations with probability theory and stochastic processes, hyperbolic dynamical system, Dynamical systems involving smooth mappings and diffeomorphisms, FOS: Mathematics, Mathematics - Dynamical Systems, 0101 mathematics

File Description: application/xml

Access URL: http://arxiv.org/abs/2301.09736
https://zbmath.org/7978216
https://doi.org/10.3934/dcds.2024135

Strong mixing for the periodic Lorentz gas flow with infinite horizon

Authors: Pène, Françoise, Terhesiu, Dalia

Source: Transactions of the American Mathematical Society. 378:1619-1679

Subject Terms: Dynamical systems and their relations with probability theory and stochastic processes, Nonsingular (and infinite-measure preserving) transformations, Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.), FOS: Mathematics, Dynamical Systems (math.DS), Mathematics - Dynamical Systems, 0101 mathematics, 01 natural sciences, Smooth ergodic theory, invariant measures for smooth dynamical systems

File Description: application/xml

Access URL: http://arxiv.org/abs/2302.04254

Peak frequencies and relative peak heights of power spectra of stationary irreversible Markov processes

Authors: Tianyu Wang, Jie Yang

Source: Journal of Mathematical Physics. 66

Subject Terms: Dynamical systems and their relations with probability theory and stochastic processes, Local time and additive functionals, Markov chains (discrete-time Markov processes on discrete state spaces)

File Description: application/xml

Access URL: https://zbmath.org/7978933
https://doi.org/10.1063/5.0184974

Local large deviations for periodic infinite horizon Lorentz gases

Authors: Melbourne, Ian, Pène, Françoise, Terhesiu, Dalia

Contributors: Laboratoire de Mathématiques de Bretagne Atlantique (LMBA), Université de Bretagne Sud (UBS)-Université de Brest (UBO)-Centre National de la Recherche Scientifique (CNRS), Université de Brest (UBO)

Source: Journal d'Analyse Mathématique. 152:283-316

Subject Terms: Lorentz gas, Central limit and other weak theorems, Gas dynamics (general theory), Dynamical Systems (math.DS), Billiards, 01 natural sciences, large deviations, nonuniformly hyperbolic dynamical systems, central limit theorems, Dynamical systems and their relations with probability theory and stochastic processes, Dynamical aspects of statistical mechanics, Large deviations, Local large deviation, Dynamical systems with singularities (billiards, etc.), FOS: Mathematics, [MATH]Mathematics [math], Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.), Mathematics - Dynamical Systems, 0101 mathematics, Stochastsic phenomena

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2108.13748
https://zbmath.org/7874889
https://doi.org/10.1007/s11854-023-0296-x
https://hdl.handle.net/1887/4178766

A factor of i.i.d. with uniform marginals and infinite clusters spanned by equal labels

Authors: Mester, Péter

Source: Ergodic Theory and Dynamical Systems. 43:3707-3725

Subject Terms: Graph labelling (graceful graphs, bandwidth, etc.), Dynamical systems and their relations with probability theory and stochastic processes, QA Mathematics / matematika, Combinatorial probability, regular trees, Percolation, hyperfiniteness, factor of i.i.d, 0101 mathematics, non-amenable groups, Measurable group actions, 01 natural sciences, Mathematics - Probability

File Description: application/xml; text

Access URL: http://arxiv.org/abs/1111.3067
https://zbmath.org/7778994
https://doi.org/10.1017/etds.2022.14

An ergodic theorem with weights and applications to random measures, homogenization and hydrodynamics

Authors: Alessandra Faggionato

Source: Stochastic Processes and their Applications. 180:104522

Subject Terms: Dynamical systems and their relations with probability theory and stochastic processes, Ergodic theorems, spectral theory, Markov operators, quenched hydrodynamic limit, Homogenization applied to problems in fluid mechanics, stochastic homogenization, Dynamical aspects of measure-preserving transformations, Stochastic analysis applied to problems in fluid mechanics, multidimensional ergodic theorem, Processes in random environments, Point processes (e.g., Poisson, Cox, Hawkes processes), ergodic theorems, random measures, stochastic homogenization

File Description: application/xml

Access URL: https://zbmath.org/7962236
https://doi.org/10.1016/j.spa.2024.104522
https://hdl.handle.net/11573/1746255

Estimates of constants in the limit theorems for chaotic dynamical systems

Authors: Leonid A. Bunimovich, Yaofeng Su

Source: Stochastics and Dynamics. 24

Subject Terms: chaotic dynamics, Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics, time asymptotics statistical laws, Probability (math.PR), Central limit and other weak theorems, Dynamical Systems (math.DS), 01 natural sciences, Markov chains (discrete-time Markov processes on discrete state spaces), Dynamical systems and their relations with probability theory and stochastic processes, 03 medical and health sciences, Large deviations, 0302 clinical medicine, Computational methods in Markov chains, FOS: Mathematics, Mathematics - Dynamical Systems, 0101 mathematics, Mathematics - Probability

File Description: application/xml

Access URL: http://arxiv.org/abs/2306.15057
https://zbmath.org/7850284
https://doi.org/10.1142/s0219493724500047

Exact sampling and fast mixing of activated random walk

Authors: Levine, Lionel, Liang, Feng

Source: Electronic Journal of Probability. 29

Subject Terms: strong stationary time, Interface problems, diffusion-limited aggregation in time-dependent statistical mechanics, FOS: Physical sciences, Dynamic and nonequilibrium phase transitions (general) in statistical mechanics, 01 natural sciences, Dynamical systems and their relations with probability theory and stochastic processes, 0103 physical sciences, FOS: Mathematics, cutoff, Interacting particle systems in time-dependent statistical mechanics, coupling, 0101 mathematics, Condensed Matter - Statistical Mechanics, abelian property, Statistical Mechanics (cond-mat.stat-mech), exact sampling, Probability (math.PR), internal DLA, Markov chains (discrete-time Markov processes on discrete state spaces), mixing time, Dynamical aspects of statistical mechanics, 37A25, 60J10, 82C22, 82C24, 82C26, self-organized criticality, activated random walk, Generation, random and stochastic difference and differential equations, Mathematics - Probability, stochastic abelian network

File Description: application/xml

Access URL: http://arxiv.org/abs/2110.14008
https://zbmath.org/7986190
https://doi.org/10.1214/24-ejp1220

Scaling limit of soliton lengths in a multicolor box-ball system

Authors: Joel Lewis, Hanbaek Lyu, Pavlo Pylyavskyy, Arnab Sen

Source: Forum of Mathematics, Sigma, Vol 12 (2024)

Subject Terms: FOS: Physical sciences, 01 natural sciences, 37B15, limit dynamics, Dynamical systems and their relations with probability theory and stochastic processes, Korteweg-de Vries equation, QA1-939, Dynamical aspects of cellular automata, solitons, multidimensional Markov chain, FOS: Mathematics, Mathematics - Combinatorics, Lattice dynamics, integrable lattice equations, 0101 mathematics, Mathematical Physics, Combinatorial probability, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Cellular Automata and Lattice Gases (nlin.CG), Probability (math.PR), Mathematical Physics (math-ph), 37K40, KdV equations (Korteweg-de Vries equations), 60K35, integrable cellular automata, Combinatorics (math.CO), 82C22, Exactly Solvable and Integrable Systems (nlin.SI), Nonlinear Sciences - Cellular Automata and Lattice Gases, Mathematics, Mathematics - Probability

File Description: application/xml

Access URL: http://arxiv.org/abs/1911.04458
https://doaj.org/article/93813c257a16481c91b2a2c15da55b2d

Stochastic billiards with Markovian reflections in generalized parabolic domains

Authors: da Costa, Conrado, Menshikov, Mikhail V., Wade, Andrew R.

Source: The Annals of Applied Probability. 33

Subject Terms: Markov reflection, Probability (math.PR), half-strip, Interacting random processes, statistical mechanics type models, percolation theory, nonhomogeneous random walk, 01 natural sciences, Dynamical systems and their relations with probability theory and stochastic processes, stochastic billiards, Discrete-time Markov processes on general state spaces, Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.), recurrence classification, Dynamical systems with singularities (billiards, etc.), FOS: Mathematics, Continuous-time Markov processes on general state spaces, 0101 mathematics, Generation, random and stochastic difference and differential equations, Mathematics - Probability, horn-shaped domain

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Access URL: http://arxiv.org/abs/2107.13976
https://zbmath.org/7791540
https://doi.org/10.1214/23-aap1952

Dynamical height growth: left, right, and total orbits

Authors: Wade Hindes

Source: Pacific Journal of Mathematics. 311:329-367

Subject Terms: Mathematics - Number Theory, Galois theory, Heights, Dynamical systems over global ground fields, heights, random iteration, Dynamical Systems (math.DS), 01 natural sciences, Dynamical systems and their relations with probability theory and stochastic processes, arithmetic dynamics, FOS: Mathematics, Number Theory (math.NT), Mathematics - Dynamical Systems, 0101 mathematics

File Description: application/xml

Access URL: http://arxiv.org/pdf/2002.09798
http://arxiv.org/abs/2002.09798
https://msp.org/pjm/2021/311-2/pjm-v311-n2-p03-s.pdf
https://msp.org/pjm/2021/311-2/p03.xhtml
https://www.arxiv-vanity.com/papers/2002.09798/
https://ui.adsabs.harvard.edu/abs/2020arXiv200209798H/abstract
https://arxiv.org/abs/2002.09798
https://arxiv.org/pdf/2002.09798v1

Random composition of L-S-V maps sampled over large parameter ranges

Authors: Christopher Bose, Matteo Tanzi, Anthony Quas

Contributors: Tanzi, Matteo

Source: Nonlinearity. 34:3641-3675

Subject Terms: Ergodic theorems, spectral theory, Markov operators, limit laws, decay of correlations, Probability (math.PR), [MATH] Mathematics [math], Dynamical Systems (math.DS), General theory of random and stochastic dynamical systems, 01 natural sciences, Random iteration, nonuniformly hyperbolic systems, Dynamical systems and their relations with probability theory and stochastic processes, random dynamical systems, 37H05 (primary), 37D25, 37A50 (secondary), FOS: Mathematics, Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.), Mathematics - Dynamical Systems, 0101 mathematics, Mathematics - Probability

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Access URL: http://arxiv.org/pdf/2007.05208
http://arxiv.org/abs/2007.05208
https://zbmath.org/7364147
https://doi.org/10.1088/1361-6544/abebc7
https://ui.adsabs.harvard.edu/abs/2021Nonli..34.3641B/abstract
https://iopscience.iop.org/article/10.1088/1361-6544/abebc7
https://arxiv.org/abs/2007.05208v2
https://arxiv.org/pdf/2007.05208.pdf
https://ui.adsabs.harvard.edu/abs/2020arXiv200705208B/abstract
https://hal.science/hal-03953345v1
https://doi.org/10.1088/1361-6544/abebc7

A sufficient and necessary condition of PS-ergodicity of periodic measures and generated ergodic upper expectations

Authors: Huaizhong Zhao, Chunrong Feng, Baoyou Qu

Source: Nonlinearity, 2020, Vol.33(10), pp.5324 [Peer Reviewed Journal]

Subject Terms: Functional limit theorems, invariance principles, random dynamical system, Probability (math.PR), Markov semigroup, sublinear expectation, 01 natural sciences, Dynamical systems and their relations with probability theory and stochastic processes, Stationary stochastic processes, periodic path, FOS: Mathematics, ergodicity, PS-ergodic, 0101 mathematics, periodic measure, Mathematics - Probability

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/1806.03680
https://zbmath.org/7268474
https://doi.org/10.1088/1361-6544/ab9584
https://ui.adsabs.harvard.edu/abs/2018arXiv180603680F/abstract
https://arxiv.org/pdf/1806.03680v2
https://arxiv.org/abs/1806.03680
https://dro.dur.ac.uk/31837/
http://dro.dur.ac.uk/31837/
https://iopscience.iop.org/article/10.1088/1361-6544/ab9584
https://ui.adsabs.harvard.edu/abs/2020Nonli..33.5324F/abstract
http://dro.dur.ac.uk/31837/
https://doi.org/10.1088/1361-6544/ab9584
http://dro.dur.ac.uk/31837/1/31837.pdf

Effects of Prioritized Input on Human Resource Control in Departmentalized Markov Manpower Framework

Authors: Ossai, E. O.^{Aff1, IDs11009023100118_cor1}, Madukaife, M. S., Udom, A. U., Nduka, U. C., Ugah, T. E.

Source: Methodology and Computing in Applied Probability. 25(1)

On the rate of convergence of weighted oscillating ergodic averages

Authors: Ahmad Darwiche, Dominique Schneider

Source: Stochastics and Dynamics. 23

Subject Terms: Dynamical systems and their relations with probability theory and stochastic processes, Ergodic theorems, spectral theory, Markov operators, ergodic Hilbert transformation, contractions of Hilbert space, weighted ergodic averages, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/7681047
https://doi.org/10.1142/s0219493723500144

Spectral gap and cutoff phenomenon for the Gibbs sampler of ∇φ interfaces with convex potential: Spectral gap and cutoff phenomenon for the Gibbs sampler of \(\nabla \varphi\) interfaces with convex potential

Authors: Caputo, Pietro, Labbé, Cyril, Lacoin, Hubert

Source: Annales de l'Institut Henri Poincaré, Probabilités et Statistiques. 58

Subject Terms: Cutoff, Ergodicity, mixing, rates of mixing, 01 natural sciences, Probabilités et mathématiques appliquées, Dynamical systems and their relations with probability theory and stochastic processes, mixing time, spectral gap, Continuous-time Markov processes on general state spaces, cutoff, Interacting particle systems in time-dependent statistical mechanics, 0101 mathematics, Smooth ergodic theory, invariant measures for smooth dynamical systems, Mathematics - Probability

File Description: application/xml

Access URL: http://arxiv.org/abs/2007.10108
https://hdl.handle.net/11590/432196
https://doi.org/10.1214/21-AIHP1174

Slow-fast systems with fractional environment and dynamics

Authors: Li, X-M, Sieber, J

Contributors: Engineering and Physical Sciences Research Council, Engineering & Physical Science Research Council (EPSRC), EPSRC

Source: The Annals of Applied Probability. 32

Subject Terms: averaging, 37A25, Ergodic theorems, spectral theory, Markov operators, Statistics & Probability, 0104 Statistics, Probability (math.PR), Ergodicity, mixing, rates of mixing, fractional Brownian motion, slow-fast system, Fractional processes, including fractional Brownian motion, Gaussian processes, rate of convergence to equilibrium, math.PR, 01 natural sciences, Stochastic ordinary differential equations (aspects of stochastic analysis), Dynamical systems and their relations with probability theory and stochastic processes, 0102 Applied Mathematics, FOS: Mathematics, 60G22, 60H10, 0101 mathematics, Mathematics - Probability, quenched ergodic theorem, 60G22, 60H10, 37A25

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Access URL: http://arxiv.org/abs/2012.01910
https://zbmath.org/7609687
https://doi.org/10.1214/22-aap1779
http://hdl.handle.net/10044/1/85423
http://hdl.handle.net/10044/1/93707

A characterization of 𝜇-equicontinuity for topological dynamical systems: A characterization of \(\mu\)-equicontinuity for topological dynamical systems

Authors: Felipe García-Ramos, Lei Jin

Source: Proceedings of the American Mathematical Society. 145:3357-3368

Subject Terms: Length, area, volume, other geometric measure theory, Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.), Dynamical Systems (math.DS), Topological dynamics, 16. Peace & justice, 01 natural sciences, measurable map, Dynamical systems and their relations with probability theory and stochastic processes, 37B10, 37B15, 37A05, theoretical equicontinuity, FOS: Mathematics, Mathematics - Dynamical Systems, 0101 mathematics, \(\mu\)-continuity

File Description: application/xml

Access URL: http://arxiv.org/abs/1309.0467
http://arxiv.org/abs/1512.03294
https://www.ams.org/journals/proc/2017-145-07/S0002-9939-2016-13440-0/
https://lib-arxiv-008.serverfarm.cornell.edu/pdf/1512.03294.pdf
https://arxiv.org/pdf/1512.03294
https://ui.adsabs.harvard.edu/abs/2015arXiv151203294G/abstract
https://www.ams.org/proc/2017-145-07/S0002-9939-2016-13440-0/
https://arxiv.org/abs/1512.03294
https://arxiv.org/pdf/1512.03294.pdf
https://core.ac.uk/display/42663141
http://ui.adsabs.harvard.edu/abs/2013arXiv1309.0467G/abstract
https://www.arxiv-vanity.com/papers/1309.0467/
https://www.ams.org/journals/proc/2017-145-08/S0002-9939-2017-13404-2/