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An estimate from above for the entropy and the topological entropy of a $C^1$-diffeomorphism

An estimate from above for the entropy and the topological entropy of a $C^1$-diffeomorphism

Let be a C-diffeomorphism from an n-dimensional Riemannian manifold on itself, h(f) the topological entropy [1] of and let 2 be a contractive constant of .In this paper, we will give an estimate from above for the topological entropy: h((f)<n log 1/ Using a result of L. Goodwyn [3], one …