Communications in Mathematical Physics

, Volume 199, Issue 1, pp 117–167

Dobrushin–Kotecký–Shlosman Theorem up to the Critical Temperature

  • Dmitry Ioffe
  • Roberto H. Schonmann

DOI: 10.1007/s002200050497

Cite this article as:
Ioffe, D. & Schonmann, R. Comm Math Phys (1998) 199: 117. doi:10.1007/s002200050497


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.

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Dmitry Ioffe
    • 1
  • Roberto H. Schonmann
    • 3
  1. 1.WIAS, Mohrenstrasse 39, D-10117 Berlin, Germany. E-mail: ioffe@hilbert.wias-berlin.deDE
  2. 2.Faculty of Industrial Engineering Technion, Haifa, 32000 IsraelIL
  3. 3.Mathematics Department, University of California at Los Angeles, Los Angeles CA 90095, USA.¶E-mail: rhs@math.ucla.eduUS

Personalised recommendations