Ergodic properties of weak asymptotic pseudotrajectories for semiflows

DOI10.1023/A:1026463628355zbMath0998.37013OpenAlexW2123597892MaRDI QIDQ1592765

Michel Benaïm, Sebastian J. Schreiber

Publication date: 5 July 2001

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1026463628355

zbMATH Keywords

stochastic differential equationsinvariant measuresstochastic algorithmsminimal center of attractionasymptotic autonomous semiflows

Mathematics Subject Classification ID

Generalizations of martingales (60G48) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Random dynamical systems (37H99) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

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Constant step stochastic approximations involving differential inclusions: stability, long-run convergence and applications ⋮ Subgradient Sampling for Nonsmooth Nonconvex Minimization ⋮ Dynamical properties in the axiomatic theory of ordinary differential equations ⋮ Some particular self-interacting diffusions: ergodic behaviour and almost sure convergence ⋮ ERGODIC PROPERTIES OF WEAK ASYMPTOTIC PSEUDOTRAJECTORIES FOR SET-VALUED DYNAMICAL SYSTEMS ⋮ Convergence in distribution of some self-interacting diffusions ⋮ REINFORCEMENT LEARNING IN MARKOVIAN EVOLUTIONARY GAMES ⋮ Dynamical behavior of a stochastic forward-backward algorithm using random monotone operators ⋮ Distributed Stochastic Optimization with Large Delays

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