On Invariant Sets of Diffeomorphisms
Dynamical Systems
2014-06-27 v1
Abstract
We give a simple upper bound for the upper box dimension of a backward invariant set of a -diffeomorphism of a Riemannian manifold. We also estimate an upper bound for the box dimension of a forward invariant set of a -mapping with finite Brouwer degree in a Riemannian manifold.
Cite
@article{arxiv.1406.6769,
title = {On Invariant Sets of Diffeomorphisms},
author = {Mehrzad Monzavi and Reza Mirzaei},
journal= {arXiv preprint arXiv:1406.6769},
year = {2014}
}
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9 Pages