On Invariant Sets of Diffeomorphisms

Mehrzad Monzavi; Reza Mirzaei

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arXiv · 1406.6769

On Invariant Sets of Diffeomorphisms

Mehrzad Monzavi·Reza Mirzaei

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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.

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Mehrzad Monzavi, Reza Mirzaei. 2014-06-26. On Invariant Sets of Diffeomorphisms. https://arxiv.org/abs/1406.6769

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