Generic mixing is rank-1

2012/03/29 by Alexey Bashtanov, Bashtanov, Alexey
Chemistry · Mathematics · #Advanced Topology and Set Theory #Chromatography in Natural Products #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #math.DS

paper · pdf · doi:10.48550/arxiv.1203.6430

10 pages

arxiv created 2012/03/29 · openalex publication_date 2012/03/29 · arxiv updated 2012/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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