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Emergence for diffeomorphisms with nonzero Lyapunov exponents

Year: 2021

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2111.07216

Author: Zelerowicz, Agnieszka

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4225537121

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