Generic mixing is rank-1

Alexey Bashtanov

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arXiv · 1203.6430

Generic mixing is rank-1

Alexey Bashtanov

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Abstract

In paper [1] S. V. Tikhonov introduced a complete metric on the space of mixing transformations. It generates a topology called leash-topology. In [2] Tikhonov states the following problem: for what mixing transformation T its conjugacy class is dense in the space of mixing transformations with leash-topology? We show that it is true for every mixing T. As a corollary we get that generic mixing is rank-1.

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Alexey Bashtanov. 2012-03-29. Generic mixing is rank-1. https://arxiv.org/abs/1203.6430

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