1 citations · 2 across the 2 of their papers we have counts for
2 papers
math.DS2011★ 1 cited
Example of a diffeomorphism for which the special ergodic theorem doesn't hold
Dmitry Ryzhov
In this work we present an example of C^\infty-diffeomorphism of a compact 4-manifold such that it admits a global SRB measure μbut for which the special ergodic theorem doesn't ho…
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…