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Lectures on Glauber Dynamics for Discrete Spin Models

Part of the Lecture Notes in Mathematics book series (LNMECOLE,volume 1717)

Abstract

These notes have been the subject of a course I gave in the summer 1997 for the school in probability theory in Saint-Flour. I review in a self-contained way the state of the art, sometimes providing new and simpler proofs of the most relevant results, of the theory of Glauber dynamics for classical lattice spin models of statistical mechanics. The material covers the dynamics in the one phase region, in the presence of boundary phase transitions, in the phase coexistence region for the two dimensional Ising model and in the so-called Griffiths phase for random Systems.

Mathematics Subject Classification (1991):

  • 60-01
  • 60-06
  • 60D05
  • 60G17
  • 60G18 60J15
  • 60J30
  • 60K35 82,-01
  • 82B20
  • 82B26
  • 82B44
  • 82C05

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© 1999 Springer-Verlag Berlin/Heidelberg

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Martinelli, F. (1999). Lectures on Glauber Dynamics for Discrete Spin Models. In: Bernard, P. (eds) Lectures on Probability Theory and Statistics. Lecture Notes in Mathematics, vol 1717. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-48115-7_2

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  • DOI: https://doi.org/10.1007/978-3-540-48115-7_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66593-9

  • Online ISBN: 978-3-540-48115-7

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