Ergodic properties of a randomly perturbed family of piecewise \(C^ 2\)-diffeomorphisms in \(\mathbb{R}^ d\)

DOI10.1007/PL00004585zbMath0876.58043OpenAlexW2073775300MaRDI QIDQ1358221

Piotr. Bugiel

Publication date: 3 July 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004585

zbMATH Keywords

Frobenius-Perron operatorrandom mapsinvariant densitiesrandom ergodic theorems

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Ergodic theory (37A99)

Related Items (2)

Distortion inequality for a Markov operator generated by a randomly perturbed family of Markov maps in \(\mathbb{R}^d\) ⋮ Fixed point of some Markov operator of Frobenius-Perron type generated by a random family of point-transformations in \(\mathbb{R}^d\)

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