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math.DS2018
Entropy of partially hyperbolic flows with center dimension two
Mario Roldán, Radu Saghin, Jiagang Yang
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 entr…
math.DS2018
Entropy, Lyapunov exponents, and rigidity of group actions
Aaron W. Brown, Sébastien Alvarez, Dominique Malicet +4
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 Teresó…
math.DS2014
Hyperbolic Sets and Entropy at the Homological Level
Mario Roldán
The aim of this work is to study a kind of refinement of the entropy conjecture, in the context of partially hyperbolic diffeomorphisms with one dimensional central direction, of d…