Pressures for asymptotically sub-additive potentials under a mistake function

Wen-Chiao Cheng; Yun Zhao; Yongluo Cao

doi:10.3934/dcds.2012.32.487

Article Contents

2012, Volume 32, Issue 2: 487-497. Doi: 10.3934/dcds.2012.32.487

This issue Previous Article Asymptotic estimates for unimodular Fourier multipliers on modulation spaces Next Article On some geometry of propagation in diffractive time scales

Pressures for asymptotically sub-additive potentials under a mistake function

1.
Department of Applied Mathematics, Chinese Culture University, Yangmingshan, Taipei, 11114
2.
Department of Mathematics, Soochow University, Suzhou 215006, Jiangsu
3.
Department of Mathematics, Suzhou University, Suzhou 215006, Jiangsu

Received: August 31, 2010

Revised: October 31, 2010

Published: January 2012

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Abstract

This paper defines the pressure for asymptotically sub-additive potentials under a mistake function, including the measure-theoretical and the topological versions. Using the advanced techniques of ergodic theory and topological dynamics, we reveal a variational principle for the new defined topological pressure without any additional conditions on the potentials and the compact metric space.

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Mathematics Subject Classification: Primary: 37D35; Secondary: 37A35.

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