Controllability implies mixing. I. Convergence in the total variation metric

DOI10.1070/RM9755zbMath1394.37124arXiv1803.01892MaRDI QIDQ4581543

Armen R. Shirikyan

Publication date: 20 August 2018

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.01892

zbMATH Keywords

controllabilityergodicityexponential mixing

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Dynamical systems in control (37N35) Stochastic systems in control theory (general) (93E03) Convergence of probability measures (60B10)

Related Items (5)

Switched diffusion processes for non-convex optimization and saddle points search ⋮ Non-uniform Kozlov–Treschev averagings in the ergodic theorem ⋮ A note on Harris' ergodic theorem, controllability and perturbations of harmonic networks ⋮ Exponential mixing under controllability conditions for \textsc{sde}s driven by a degenerate Poisson noise ⋮ Controllability implies mixing. II: Convergence in the dual-Lipschitz metric

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