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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.)

Maps in dimension one with infinite entropy

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Author(s):
Hazard, Peter
Total Authors: 1
Document type: Journal article
Source: ARKIV FOR MATEMATIK; v. 58, n. 1, p. 95-119, 2020.
Web of Science Citations: 0
Abstract

For each real alpha, 0 <= alpha < 1, we give examples of endomorphisms in dimension one with infinite topological entropy which are alpha-Holder; and for each real p, 1 <= p<infinity, we also give examples of endomorphisms in dimension one with infinite topological entropy which are (1, p)-Sobolev. These examples are constructed within a family of endomorphisms with infinite topological entropy and which traverse all-Holder and (1, p)-Sobolev classes. Finally, we also give examples of endomorphisms, also in dimension one, which lie in the big and little Zygmund classes, answering a question of M. Benedicks. (AU)

FAPESP's process: 15/17909-7 - Regularity and the boundary of chaos
Grantee:Edson de Faria
Support Opportunities: Research Grants - Visiting Researcher Grant - International