论文标题

一类圆环同构的sublinear扩散不存在

Inexistence of sublinear diffusion for a class of torus homeomorphisms

论文作者

Salomão, Guilherme Silva, Tal, Fabio Armando

论文摘要

我们证明,如果$ f $是两个旋转套件的同位素的同位素同位素的同态,其旋转集为非分级段,而$ f $具有定期点,那么它在垂直于该细分市场的方向上具有均匀界限的偏差。

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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