A new proof for the Hartman-Grobman theorem for random dynamical systems

DOI10.1090/proc/14707zbMath1444.37044OpenAlexW2948711257MaRDI QIDQ5206219

Junyilang Zhao, Jun Shen

Publication date: 18 December 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/14707

zbMATH Keywords

linearizationconjugacyrandom dynamical systemsHartman-Grobman theoremmultiplicative ergodic theoremrandom diffeomorphismtempered random variables

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Ordinary differential equations and systems with randomness (34F05) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Stability theory for smooth dynamical systems (37C75) Stability theory for random and stochastic dynamical systems (37H30) Random iteration (37H12)

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