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A note on Anosov homeomorphisms by Achigar, Mauricio is a scholarly article available to read on EtoBox.

What is A note on Anosov homeomorphisms about?

For an $\alpha$-expansive homeomorphism of a compact space we give an elementary proof of the following well-known result in topological dynamics: A sufficient condition for the homeomorphism to have the shadowing property is that it has the $\alpha$-shadowing property for one-jump pseudo orbits (known as the local product structure property). The proof relies on a reformulation of the property of expansiveness in terms of the pseudo orbits of the system.

Author

Achigar, Mauricio

Published

2019

Language

EN