Topological entropy on points without physical-like behaviour

Catsigeras, Eleonora; Tian, Xueting; Vargas, Edson

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Topological entropy on points without physical-like behaviour

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Author(s):	Catsigeras, Eleonora ^[1] ; Tian, Xueting ^[2] ; Vargas, Edson ^[3] Total Authors: 3
Affiliation:	^[1] Univ Republica, IMERL, Fac Ingn, Montevideo - Uruguay ^[2] Fudan Univ, Sch Math Sci, Shanghai 200433 - Peoples R China ^[3] Univ Sao Paulo, Dept Matemat, IME, Sao Paulo - Brazil Total Affiliations: 3
Document type:	Journal article
Source:	MATHEMATISCHE ZEITSCHRIFT; v. 293, n. 3-4, p. 1043-1055, DEC 2019.
Web of Science Citations:	0
Abstract
For C-1 transitive Anosov diffeomorphisms, we consider the sets of irregular points without physical-like behaviour and regular points without physical-like behaviour respectively and show that they all carry full topological entropy. Roughly speaking, physical-like measures do not affect the dynamical complexity of the regular set and the irregular set in the sense of topological entropy. (AU)

FAPESP's process:	15/09133-9 - Lyapunov exponents and irregular sets for unimodal dynamics
Grantee:	Edson Vargas
Support Opportunities:	Research Grants - Visiting Researcher Grant - International

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