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1. On Invariant Sets of Diffeomorphisms

Author

Monzavi, Mehrzad and Mirzaei, Reza

Subjects
Mathematics - Dynamical Systems, 58A05, 28A80
Abstract

We give a simple upper bound for the upper box dimension of a backward invariant set of a $C^{1}$-diffeomorphism of a Riemannian manifold. We also estimate an upper bound for the box dimension of a forward invariant set of a $C^{1}$-mapping with finite Brouwer degree in a Riemannian manifold., Comment: 9 Pages

Published
2014

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