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Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces

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Orientador(es)

Resumo(s)

For diffeomorphisms on surfaces with basic sets, we show the following type of rigidity result: if a topological conjugacy between them is differentiable at a point in the basic set then the conjugacy has a smooth extension to the surface. These results generalize the similar ones of D. Sullivan, E. de Faria and ours for one-dimensional expanding dynamics.

Descrição

Palavras-chave

Hyperbolicity Conjugacy Rigidity

Contexto Educativo

Citação

Ferreira, F., & Pinto, A. A. (2003). Explosion of smoothness from a point to everywhere for conjugacies between diffeomorphisms on surfaces. Ergodic Theory and Dynamical Systems, 23, 509–517. doi:10.1017/S0143385702001347

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Fascículo

Editora

Cambridge University Press

Licença CC

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