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Exact large deviation bounds up toT c for the Ising model in two dimensions
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  • Published: September 1995

Exact large deviation bounds up toT c for the Ising model in two dimensions

  • Dmitry Ioffe1 

Probability Theory and Related Fields volume 102, pages 313–330 (1995)Cite this article

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Summary

We prove an upper large deviation bound for the block spin magnetization in the 2D Ising model in the phase coexistence region. The precise rate (given by the Wulff construction) is shown to hold true for all β > βc. Combined with the lower bounds derived in [I] those results yield an exact second order large deviation theory up to the critical temperature.

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Authors and Affiliations

  1. Departement of Mathematics, Northwestern University, 2033 Sheridan Rd., 60208, Evanston, IL, USA

    Dmitry Ioffe

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  1. Dmitry Ioffe
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Ioffe, D. Exact large deviation bounds up toT c for the Ising model in two dimensions. Probab. Th. Rel. Fields 102, 313–330 (1995). https://doi.org/10.1007/BF01192464

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  • Received: 03 March 1994

  • Revised: 10 January 1995

  • Issue Date: September 1995

  • DOI: https://doi.org/10.1007/BF01192464

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Mathematics Subject Classification

  • 60F10
  • 82B20
  • 82B24
  • 82B43
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