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Stochastic Dynamics of Compact Spins: Ergodicity and Irreducibility

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Recent Developments in Infinite-Dimensional Analysis and Quantum Probability

Abstract

Stochastic dynamics associated with Gibbs measures on \(M^{Z^d }\), where M is a compact Riemannian manifold and Z d is an integer lattice, is considered. Equivalence of its L 2-ergodicity and the extremality of the corresponding Gibbs measure is proved.

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Author information

Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Bonn, D-53115, Bonn, Germany

    Sergio Albeverio, Alexei Daletskii & Yuri Kondratiev

  2. Fakultät für Mathematik, Bielefeld Universität, D-33615, Bielefeld, Germany

    Michael Röckner

Authors
  1. Sergio Albeverio
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  2. Alexei Daletskii
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  3. Yuri Kondratiev
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  4. Michael Röckner
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Editor information

Luigi Accardi Hui-Hsiung Kuo Nobuaki Obata Kimiaki Saito Si Si Ludwig Streit

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© 2001 Springer Science+Business Media Dordrecht

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Albeverio, S., Daletskii, A., Kondratiev, Y., Röckner, M. (2001). Stochastic Dynamics of Compact Spins: Ergodicity and Irreducibility. In: Accardi, L., Kuo, HH., Obata, N., Saito, K., Si, S., Streit, L. (eds) Recent Developments in Infinite-Dimensional Analysis and Quantum Probability. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0842-6_2

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  • DOI: https://doi.org/10.1007/978-94-010-0842-6_2

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-3842-3

  • Online ISBN: 978-94-010-0842-6

  • eBook Packages: Springer Book Archive

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