ERGODIC PROPERTIES OF WEAK ASYMPTOTIC PSEUDOTRAJECTORIES FOR SET-VALUED DYNAMICAL SYSTEMS

DOI10.1142/S0219493712500116zbMath1278.37054arXiv1101.2154OpenAlexW2963438496MaRDI QIDQ4908345

Gregory Roth, Mathieu Faure

Publication date: 5 March 2013

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.2154

zbMATH Keywords

stochastic approximationinvariant measuresergodic theoryset-valued dynamical systems

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Stochastic approximation (62L20) Generation, random and stochastic difference and differential equations (37H10) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Topological dynamics of nonautonomous systems (37B55) Invariant measures for infinite-dimensional dissipative dynamical systems (37L40)

Related Items (5)

Convergence of constant step stochastic gradient descent for non-smooth non-convex functions ⋮ 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 ⋮ Invariant measures for multivalued semigroups

Cites Work

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