Symbolic extensions for 3-dimensional diffeomorphisms


Title:Symbolic extensions for 3-dimensional diffeomorphisms

Speaker:Liao Gang, Suzhou University

Time:2019-12-5  14:30--15:30

Place:Room 1418, School of Mathematical Sciences, Management Research Building, East Campus

Abstract:We prove that every  C^r 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.