Weakly homoclinic groups of ergodic actions

V. V. Ryzhikov

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arXiv · 1901.09028

Weakly homoclinic groups of ergodic actions

V. V. Ryzhikov

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Abstract

This work contains the following results: the trajectory fullness of the homoclinic groups, their connections with factors, K-property, weak multiple mixing; the ergodicity of the weakly homoclinic group for Gauss and Poisson actions; the triviality of the weakly homoclinic group for classes of rank-1 actions. Some open problems are discussed.

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BibTeX RIS

V. V. Ryzhikov. 2019-01-25. Weakly homoclinic groups of ergodic actions. https://arxiv.org/abs/1901.09028

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