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2002 SPECTRA OF DIMENSIONS FOR POINCAR´ E RECURRENCES FOR SPECIAL FLOWS
V. Afraimovich, J.-R. Chazottes, E. Ugalde
Taiwanese J. Math. 6(2): 269-285 (2002). DOI: 10.11650/twjm/1500407435

Abstract

We prove the variational principle for dimensions for Poincar´e recurrences, in the case of invariant sets of dynamical systems with continuous time. To achieve this goal we show that these dimensions can be expressed as roots of a non–homogeneous Bowen equation.

Citation

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V. Afraimovich. J.-R. Chazottes. E. Ugalde. "SPECTRA OF DIMENSIONS FOR POINCAR´ E RECURRENCES FOR SPECIAL FLOWS." Taiwanese J. Math. 6 (2) 269 - 285, 2002. https://doi.org/10.11650/twjm/1500407435

Information

Published: 2002
First available in Project Euclid: 18 July 2017

zbMATH: 1140.37308
MathSciNet: MR1903542
Digital Object Identifier: 10.11650/twjm/1500407435

Subjects:
Primary: 37C45

Keywords: dimension theory , Poincar\'e recurrences , special flows

Rights: Copyright © 2002 The Mathematical Society of the Republic of China

Vol.6 • No. 2 • 2002
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