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Recurrent Measures and Measure Rigidity

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Dynamics and Randomness II

Part of the book series: Nonlinear Phenomena and Complex Systems ((NOPH,volume 10))

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Abstract

Abstract. We study maps which preserve a foliation and a metric on this foliation. Such maps arise when studying multiparameter abelian actions, and also in the study of arithmetic quantum unique ergodicity. We also discuss measurable dynamics in which neither the measure nor the measure class is preserved, but nonetheless the system has complicated orbit structure.

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, 251 Mercer St., New York, NY, 10012, USA

    Elon Lindenstrauss

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  1. Elon Lindenstrauss
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Editor information

Editors and Affiliations

  1. Universidad de Chile, Santiago, Chile

    Alejandro Maass , Servet Martínez  & Jaime San Martín ,  & 

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Lindenstrauss, E. (2004). Recurrent Measures and Measure Rigidity. In: Maass, A., Martínez, S., Martín, J.S. (eds) Dynamics and Randomness II. Nonlinear Phenomena and Complex Systems, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2469-6_4

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  • DOI: https://doi.org/10.1007/978-1-4020-2469-6_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6565-0

  • Online ISBN: 978-1-4020-2469-6

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