Entropy of partially hyperbolic flows with center dimension two

Roldan, Mario1; Saghin, Radu2; Yang, Jiagang3,4

2020-02

10.1088/1361-6544/ab5156

NONLINEARITY   影响因子和分区

0951-7715

1361-6544

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 example where the lower semicontinuity fails. We also show that if such a flow has no fixed points, then it is entropy expansive, and consequentely the metric entropy function is upper semicontinuous, there exist equilibrium states (and measures of maximal entropy), and principal symbolic extensions.

topological entropy entropy measure partially hyperbolic flows

SCI

英语

其他

CONICYT[MEC PAI80160049]

Mathematics ; Physics

Mathematics, Applied ; Physics, Mathematical

WOS:000507282500003

IOP PUBLISHING LTD

MATHEMATICS

Web of Science

1.Univ Fed Santa Catarina, Dept Matemat, Campus Univ Trindade, Florianopolis, SC, Brazil
2.Pontificia Univ Catolica Valparaiso, Inst Matemat, Blanco Viel 596, Valparaiso, Chile
3.Southern Univ Sci & Technol China, Dept Math, 1088 Xueyuan Rd, Shenzhen 518055, Guangdong, Peoples R China
4.Univ Fed Fluminense, Inst Matemat & Estat, Rua Mario Santos Braga S-N Campus Valonguinhos, Niteroi, RJ, Brazil

Roldan, Mario,Saghin, Radu,Yang, Jiagang. Entropy of partially hyperbolic flows with center dimension two[J]. NONLINEARITY,2020,33(2):790-806.

Roldan, Mario,Saghin, Radu,&Yang, Jiagang.(2020).Entropy of partially hyperbolic flows with center dimension two.NONLINEARITY,33(2),790-806.

Roldan, Mario,et al."Entropy of partially hyperbolic flows with center dimension two".NONLINEARITY 33.2(2020):790-806.