Recurrent orbits of subgroups of local complex analytic diffeomorphisms
Dynamical Systems
2017-02-10 v1 Complex Variables
Abstract
We show recurrent phenomena for orbits of groups of local complex analytic diffeomorphisms that have a certain subgroup or image by a morphism of groups that is non-virtually solvable. In particular we prove that a non-virtually solvable subgroup of local biholomorphisms has always recurrent orbits, i.e. there exists an orbit contained in its set of limit points.
Cite
@article{arxiv.1509.01153,
title = {Recurrent orbits of subgroups of local complex analytic diffeomorphisms},
author = {Javier Ribón},
journal= {arXiv preprint arXiv:1509.01153},
year = {2017}
}
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