Inexistence of sublinear diffusion for a class of torus homeomorphisms

2020/03/28 by Salomão, Guilherme Silva, Tal, Fabio Armando · 2 citations
#37E30 #37E45 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2003.12892

Abstract

We prove that, if f is a homeomorphism of the two torus isotopic to the identity whose rotation set is a non-degenerate segment and f has a periodic point, then it has uniformly bounded deviations in the direction perpendicular to the segment.

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• Surface homeomorphisms with big rotation set
• Bounded deviations in higher genus I: closed geodesics

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