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math.DS2011
Physical measures for nonlinear random walks on interval
Victor Kleptsyn, Denis Volk
A one-dimensional confined Nonlinear Random Walk is a tuple of diffeomorphisms of the unit interval driven by a probabilistic Markov chain. For generic such walks, we obtain a…
math.DS2011★ 1 cited
Special Ergodic Theorem for hyperbolic maps
Victor Kleptsyn, Dmitry Ryzhov
Let f be a self-map of a compact manifold M, admitting an global SRB measure μ. For a continuous test function ϕon M and a constant α>0, consider the set of the initial points for…