Mehrzad Monzavi, Reza Mirzaei
Published 2014-06-26Version 1
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.
A packing exponent formula for the upper box dimension of certain self-projective fractals
Nonuniform hyperbolicity for C^1-generic diffeomorphisms
Topological entropy and blocking cost for geodesics in riemannian manifolds
![QR code for arXiv:1406.6769 [math.DS]](http://oss.arxitics.com/images/favicon.svg)