Speaker：Gang Liao（Suzhou University）

Time：2022-03-29 10:00

Location：Tencent Meeting ID：878500937（No Password）

Abstract: The coding of dynamical system is a way to simulate chaotic behavior by symbolic dynamics. We prove that every Cr diffeomorphism with r>1 on a three-dimensional manifold  admits symbolic extensions, i.e., topological extensions which are subshifts over a finite alphabet. This answers positively a conjecture of Downarowicz and Newhouse in dimension three. This is a joint work with David Burguet.