Topological pressure of proper map

Dongkui Ma and Nuanni Fan

Chaos, Solitons & Fractals, 2017, vol. 105, issue C, 137-144

Abstract: Based on the Carathéodory–Pesin structure theory [13], we introduce three notions of topological pressure of a proper map and provide some properties of these notions. For the proper map of a locally compact separable metric space, we prove some variational principles and give some applications on the multifractal analysis of local entropies. These are the extensions of results of Pesin, Takens and Verbiski, etc.

Keywords: Topological pressure; Variational principle; Multifractal analysis; C–P structure; Proper map (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:105:y:2017:i:c:p:137-144

DOI: 10.1016/j.chaos.2017.10.014

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