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Publikováno v:
Nonlinearity. 33:790-806
In this article we study the regularity of the topological and metric entropy of partially hyperbolic flows with two-dimensional center direction. We show that the topological entropy is upper semicontinuous with respect to the flow, and we give an e
Autor:
Michele Triestino, Bruno Santiago, Mario Roldán, Sébastien Alvarez, Dominique Malicet, Davi Obata, Aaron W. Brown
Publikováno v:
Ensaios Matemáticos
Ensaios Matemáticos, Brazilian Mathematical Society, 2019, Ensaios Matemáticos, 33, pp.1-197
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Ensaios Matemáticos, Brazilian Mathematical Society, 2019, Ensaios Matemáticos, 33, pp.1-197
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This text is an expanded series of lecture notes based on a 5-hour course given at the workshop entitled "Workshop for young researchers: Groups acting on manifolds" held in Teres\'opolis, Brazil in June 2016. The course introduced a number of classi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60aea30a3f67da8831e49cf16c1d3319
https://hal.archives-ouvertes.fr/hal-02473154
https://hal.archives-ouvertes.fr/hal-02473154
Autor:
Mario Roldán
The aim of this work is to study a kind of refinement of the entropy conjecture, in the context of partially hyperbolic diffeomorphism with one dimensional central direction, of $d$-dimensional torus. We start by establishing a connection between the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98fde295cfe8e1e318bd32013380061f
http://arxiv.org/abs/1407.5101
http://arxiv.org/abs/1407.5101