Finite rank approximations of expanding maps with neutral singularities

2007/09/17 by Michael Blank, Blank, Michael
Mathematics · Physics and Astronomy · #37A30 #37A40 #37A50 #37C30 #37M25 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.DS #math.MP #msc:37A30 #msc:37A40 #msc:37A50 #msc:37C30 #msc:37M25

paper · pdf · doi:10.48550/arxiv.0709.2564

13 pages, 3 figures, to appear in Discrete and Continuous Dynamical Systems A

arxiv created 2007/09/17 · arxiv updated 2009/12/01

Abstract

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.

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