Weakly homoclinic groups of ergodic actions
Dynamical Systems
2019-01-28 v1
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.
Cite
@article{arxiv.1901.09028,
title = {Weakly homoclinic groups of ergodic actions},
author = {V. V. Ryzhikov},
journal= {arXiv preprint arXiv:1901.09028},
year = {2019}
}
Comments
in Russian