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学术科研

Dynamical Systems Seminar

Statistical properties of ʋ Gibbs states for C^1 diffeomorphisms with mostly contracting center

演讲者：Fan Yang（奥克拉荷马大学）
时间：2018-06-14 11:00-12:00
地点：慧园3栋 415报告厅

For a partially hyperbolic diffeomorphism f, a Gibbs u-state is a measure whose decomposition along unstable leaves are absolutely continuous with respect to Lebesgue measure. In this talk we consider ʋ Gibbs states: measures whose conditional measures are absolutely continuous with a given reference measure ʋ (not necessarily Lebesgue). We will discuss their existence, finiteness, structure of the supports, and how to obtain decay of correlations even when the system does not have enough regularity.

This is a joint work with Raul Ures, Marcelo Viana and Jiagang Yang.