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Invariance Principles for Interval Maps with an Indifferent Fixed Point

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Abstract

 In this note we establish an almost sure invariance principle for a large class of interval maps with indifferent fixed points, including the Manneville-Pomeau map. This implies a number of well-known corollaries, including the Weak Invariance Principle and the Law of the Iterated Logarithm.

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Authors and Affiliations

  1. Department to Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, Manchester, England, , , , , , GB

    Mark Pollicott & Richard Sharp

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  1. Mark Pollicott
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  2. Richard Sharp
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Received: 15 February 2002 / Accepted: 26 March 2002 Published online: 31 July 2002

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Pollicott, M., Sharp, R. Invariance Principles for Interval Maps with an Indifferent Fixed Point. Commun. Math. Phys. 229, 337–346 (2002). https://doi.org/10.1007/s00220-002-0685-4

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  • DOI: https://doi.org/10.1007/s00220-002-0685-4

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