Exponential Decay of Correlations for Surface Semi-flows without Finite Markov Partitions

Abstract

We extend Dolgopyat’s bounds on iterated transfer operators to suspensions of interval maps with infinitely many intervals of monotonicity. 1. Statement of results Let 0 < c1 < . . . < cm < cm+1 < . . . < 1 be a finite or countable partition of I = [0, 1] into subintervals, and let T : I → I be so that T |(cm,cm+1) is C and extends to a homeomorphism from… (More)

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