Convergence of the Ruelle operator for a function satisfying Bowen’s condition
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- by Peter Walters PDF
- Trans. Amer. Math. Soc. 353 (2001), 327-347 Request permission
Abstract:
We consider a positively expansive local homeomorphism $T\colon X\to X$ satisfying a weak specification property and study the Ruelle operator $\mathcal {L}_\varphi$ of a real-valued continuous function $\varphi$ satisfying a property we call Bowen’s condition. We study convergence properties of the iterates $\mathcal {L}_\varphi ^n$ and relate them to the theory of equilibrium states.References
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Additional Information
- Peter Walters
- Affiliation: University of Warwick, Mathematics Institute, Coventry CV4 7AL, England
- Email: pw@maths.warwick.ac.uk
- Received by editor(s): August 9, 1999
- Published electronically: September 13, 2000
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 353 (2001), 327-347
- MSC (2000): Primary 37D35; Secondary 28D20, 37A30, 37B10
- DOI: https://doi.org/10.1090/S0002-9947-00-02656-8
- MathSciNet review: 1783787