Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems

Fuente: arXiv
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Autori principali: Coates, Douglas, Gelfert, Katrin
Natura: Preprint
Pubblicazione: 2025
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author Coates, Douglas
Gelfert, Katrin
author_facet Coates, Douglas
Gelfert, Katrin
contents We consider one dimensional maps with several neutral fixed points that do not admit any physical measures. We show that there is simplex of measures so that every measure in this simplex has a basin which has full Hausdorff dimension.
format Preprint
id arxiv_https___arxiv_org_abs_2509_00241
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems
Coates, Douglas
Gelfert, Katrin
Dynamical Systems
37A05, 37C45 37A05
We consider one dimensional maps with several neutral fixed points that do not admit any physical measures. We show that there is simplex of measures so that every measure in this simplex has a basin which has full Hausdorff dimension.
title Hausdorff Dimension of Sets of Generic Points for Non-statistical Dynamical Systems
topic Dynamical Systems
37A05, 37C45 37A05
url https://arxiv.org/abs/2509.00241