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Master's Dissertation
DOI
10.11606/D.55.2008.tde-10062008-142348
Document
Author
Full name
Thiago Aparecido Catalan
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2008
Supervisor
Committee
Tahzibi, Ali (President)
Brandão, Daniel Smania
Casado, Lorenzo Justiniano Diaz
Title in Portuguese
Resultados genéricos sobre entropia e dimensão de Hausdorff para difeomorfismos conservativos sobre superfícies
Keywords in Portuguese
Difeomorfismos conservativos
Difeomorfismos simpléticos
Dimensão de Hausdorff
Entropia
Abstract in Portuguese
Apresentamos duas propriedades genéricas para difeomorfismos conservativos da classe 'C POT.1' sobre uma superfície compacta de dimensão dois. Obtemos uma limitação inferior para entropia topológica de difeomorfismos genéricos, e mostramos que tais difeomorfismos sempre possuem conjuntos invariantes fechados com órbitas densas e dimensão de Hausdorff dois
Title in English
Generic properties about entropy and Hausdorff dimensions for area preserving diffeomorphisms of surfaces
Keywords in English
Conservative diffeomorphisms
Entropy
Hausdorff dimension
Symplectic diffeomorphisms
Abstract in English
We present two generic properties of 'C POT.1" area preserving diffeomorphisms of a two dimensional compact oriented surface. We obtain a lower bound for the topological entropy of a generic diffeomorphisms, and we show that such a diffeomorphism always has closed invariant sets with dense orbits and Hausdorff dimension two
 
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catalan.pdf (493.20 Kbytes)
Publishing Date
2008-06-10
 
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