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arXiv · 1509.01153

Recurrent orbits of subgroups of local complex analytic diffeomorphisms

Javier Ribón
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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.

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Javier Ribón. 2015-09-03. Recurrent orbits of subgroups of local complex analytic diffeomorphisms. https://doi.org/10.1007/s00209-016-1719-5

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