# American Institute of Mathematical Sciences

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

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.
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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