Dynamical Systems Seminar | Davi Obata (Brigham Young University)

Title: The uniformly expanding on average property for partially hyperbolic systems

Abstract: In this talk, we will define the uniformly expanding on average property (UEA) for partially hyperbolic systems with two dimensional center. This property was introduced in the random dynamics setting and it is responsible for many measure rigidity results for stationary measures. For partially hyperbolic systems, UEA is present in several examples that have mixed behavior along the center direction. We will explore several consequences of this property in this talk. This is a joint work with P. Carrasco, R. Saghin and J. Yang.

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