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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.)

GENERATING POSITIVE GEOMETRIC ENTROPY FROM RECURRENT LEAVES

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Author(s):
Ponce, Gabriel
Total Authors: 1
Document type: Journal article
Source: Proceedings of the American Mathematical Society; v. 146, n. 10, p. 4389-4404, OCT 2018.
Web of Science Citations: 0
Abstract

In this paper we introduce a C-r-perturbation procedure, with respect to the C-r-Epstein topology, for CCr-foliations by surfaces. Using this perturbation procedure we show how one can use the existence of recurrent leaves of a certain C-r-foliation F to obtain a foliation G, Cr-close to F in the C-r-Epstein topology, which has a resilient leaf. In particular, one can take advantage of the recurrence property to construct examples of C-r-foliations, C-r-close to each other and such that one of them has a resilient leaf while the other is Riemannian (therefore has trivial dynamics). (AU)

FAPESP's process: 16/05384-0 - Dynamics of Foliations and Rigidity of Ergodic Measures
Grantee:Gabriel Ponce
Support Opportunities: Regular Research Grants