Emergence for diffeomorphisms with nonzero Lyapunov exponents
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866911156641202176 |
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| author | Zelerowicz, Agnieszka |
| author_facet | Zelerowicz, Agnieszka |
| contents | We consider the set of points with high pointwise emergence for $C^{1+α}$ diffeomorphisms preserving a hyperbolic measure. We find a lower bound on the Hausdorff dimension of this set in terms of unstable Hausdorff dimension of the hyperbolic measure. If the measure is an SRB, we prove that the set of points with high emergence has full Hausdorff dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_07216 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Emergence for diffeomorphisms with nonzero Lyapunov exponents Zelerowicz, Agnieszka Dynamical Systems C45, C50, D25 We consider the set of points with high pointwise emergence for $C^{1+α}$ diffeomorphisms preserving a hyperbolic measure. We find a lower bound on the Hausdorff dimension of this set in terms of unstable Hausdorff dimension of the hyperbolic measure. If the measure is an SRB, we prove that the set of points with high emergence has full Hausdorff dimension. |
| title | Emergence for diffeomorphisms with nonzero Lyapunov exponents |
| topic | Dynamical Systems C45, C50, D25 |
| url | https://arxiv.org/abs/2111.07216 |