Výsledky vyhledávání - "Dynamical systems and their relations with probability theory and stochastic processes"

Non-stationary Anderson localization

Autoři: Gorodetski, Anton Kleptsyn, Victor

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Amit Priyadarshi Mrinal K. Roychowdhury Manuj Verma

Zdroj: Monatshefte für Mathematik. 207:125-140

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Auer, Max

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Pène, Françoise Terhesiu, Dalia

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: http://arxiv.org/abs/2302.04254

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

Autoři: Tianyu Wang Jie Yang

Zdroj: Journal of Mathematical Physics. 66

Témata: 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)

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7978933
https://doi.org/10.1063/5.0184974

Local large deviations for periodic infinite horizon Lorentz gases

Autoři: Melbourne, Ian Pène, Françoise Terhesiu, Dalia a další

Přispěvatelé: Melbourne, Ian Pène, Françoise Terhesiu, Dalia a další

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

Témata: 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

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: 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

Autoři: Mester, Péter

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

Témata: 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

Popis souboru: application/xml; text

Přístupová URL adresa: 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

Autoři: Alessandra Faggionato

Zdroj: Stochastic Processes and their Applications. 180:104522

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Leonid A. Bunimovich Yaofeng Su

Zdroj: Stochastics and Dynamics. 24

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Levine, Lionel Liang, Feng

Zdroj: Electronic Journal of Probability. 29

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Joel Lewis Hanbaek Lyu Pavlo Pylyavskyy a další

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

Témata: 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

Popis souboru: application/xml

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

Stochastic billiards with Markovian reflections in generalized parabolic domains

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

Zdroj: The Annals of Applied Probability. 33

Témata: 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

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: 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

Autoři: Wade Hindes

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Christopher Bose Matteo Tanzi Anthony Quas a další

Přispěvatelé: Christopher Bose Matteo Tanzi Anthony Quas a další

Zdroj: Nonlinearity. 34:3641-3675

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Huaizhong Zhao Chunrong Feng Baoyou Qu

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

Témata: 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

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: 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

On the rate of convergence of weighted oscillating ergodic averages

Autoři: Ahmad Darwiche Dominique Schneider

Zdroj: Stochastics and Dynamics. 23

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Caputo, Pietro Labbé, Cyril Lacoin, Hubert

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Li, X-M Sieber, J Engineering and Physical Sciences Research Council a další

Přispěvatelé: Li, X-M Sieber, J Engineering and Physical Sciences Research Council a další

Zdroj: The Annals of Applied Probability. 32

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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

Autoři: Felipe García-Ramos Lei Jin

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: 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/

Self-stochasticity in deterministic boundary value problems

Autoři: Romanenko, E.Yu. Sharkovsky, A.N. Vereikina, M.B.

Témata: Dynamical systems and their relations with probability theory and stochastic processes, invariant measures, Boundary value problems for linear first-order PDEs, cycle of intervals, noncompact trajectories, nonlinear boundary conditions, third-order self-stochasticity, Discrete version of topics in analysis, random functions, infinite-dimensional distributions

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1641395
http://dspace.nbuv.gov.ua/handle/123456789/169290