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


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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations