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A local variational principle for the topological entropy

Published online by Cambridge University Press:  23 September 2003

PIERRE-PAUL ROMAGNOLI
PIERRE-PAUL ROMAGNOLI
Affiliation:
Departamento de Ingeniería Matemática, Universidad de Chile, Casilla 170-3 Correo 3, Santiago, Chile (e-mail: [email protected])
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Abstract

In this paper we introduce two notions of measure-theoretical entropy for covers and one notion of topological entropy for open covers. These notions extend the classical concept of measure-theoretical entropy of measurable partitions to measurable covers. Using these notions we prove a local variational principle for any given open cover.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 5 , October 2003 , pp. 1601 - 1610
Copyright
2003 Cambridge University Press

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