Communications in Mathematical Physics

, Volume 199, Issue 1, pp 117–167 | Cite as

Dobrushin–Kotecký–Shlosman Theorem up to the Critical Temperature

  • Dmitry Ioffe
  • Roberto H. Schonmann

Abstract:

We develop a non-perturbative version of the Dobrushin–Kotecký–Shlosman theory of phase separation in the canonical 2D Ising ensemble. The results are valid for all temperatures below critical.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Dmitry Ioffe
    • 1
  • Roberto H. Schonmann
    • 2
  1. 1.WIAS, Mohrenstrasse 39, D-10117 Berlin, Germany. E-mail: ioffe@hilbert.wias-berlin.deDE
  2. 2.Mathematics Department, University of California at Los Angeles, Los Angeles CA 90095, USA.¶E-mail: rhs@math.ucla.eduUS

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