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Dimension of hyperbolic measures of random diffeomorphisms |
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| Authors: | Pei-Dong Liu Jian-Sheng Xie |
| Affiliation: | School of Mathematical Sciences, Peking University, 100871 Beijing, People's Republic of China ; School of Mathematical Sciences, Peking University, 100871 Beijing, People's Republic of China |
| Abstract: | We consider dynamics of compositions of stationary random  diffeomorphisms. We will prove that the sample measures of an ergodic hyperbolic invariant measure of the system are exact dimensional. This is an extension to random diffeomorphisms of the main result of Barreira, Pesin and Schmeling (1999), which proves the Eckmann-Ruelle dimension conjecture for a deterministic diffeomorphism. |
| Keywords: | Random dynamical systems Eckmann-Ruelle conjecture hyperbolic measure |
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