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Dynamical Borel-Cantelli lemmas for gibbs measures
| Content Provider | Semantic Scholar |
|---|---|
| Author | Chernov, Nikolai Kleinbock, Dmitry |
| Copyright Year | 1999 |
| Abstract | LetT: X→X be a deterministic dynamical system preserving a probability measure μ. A dynamical Borel-Cantelli lemma asserts that for certain sequences of subsetsAn⊃ X and μ-almost every pointx∈X the inclusionTnx∈An holds for infinitely manyn. We discuss here systems which are either symbolic (topological) Markov chain or Anosov diffeomorphisms preserving Gibbs measures. We find sufficient conditions on sequences of cylinders and rectangles, respectively, that ensure the dynamical Borel-Cantelli lemma. |
| Starting Page | 1 |
| Ending Page | 27 |
| Page Count | 27 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/BF02809888 |
| Alternate Webpage(s) | http://people.brandeis.edu/~kleinboc/Pub/bc.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/9912178v1.pdf |
| Alternate Webpage(s) | https://arxiv.org/pdf/math/9912178v1.pdf |
| Alternate Webpage(s) | http://people.cas.uab.edu/~mosya/papers/bc.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/BF02809888 |
| Volume Number | 122 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
