Finite rank approximations of expanding maps with neutral singularities

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August 2008, 21(3): 749-762. doi: 10.3934/dcds.2008.21.749

Finite rank approximations of expanding maps with neutral singularities

1.	Russian Academy of Sci., Inst. for Information Transm. Problems, and Laboratoire Cassiopee UMR6202, CNRS, France

Received June 2007 Revised December 2007 Published April 2008

Abstract
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For a class of expanding maps with neutral singularities we prove the validity of a finite rank approximation scheme for the analysis of Sinai-Ruelle-Bowen measures. Earlier results of this sort were known only in the case of hyperbolic systems.

Keywords: dynamical system, transfer operator, Ulam's approximation., SRB measure.

Mathematics Subject Classification: Primary: 37M25, 37A40; Secondary: 37A30, 37A50, 37C3.

Citation: Michael Blank. Finite rank approximations of expanding maps with neutral singularities. Discrete & Continuous Dynamical Systems - A, 2008, 21 (3) : 749-762. doi: 10.3934/dcds.2008.21.749

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