WIAS Preprint No. 355, (1997)

Dobrushin-Kotecký-Shlosman theorem up to the critical temperature


  • Ioffe, Dmitry
  • Schonmann, Roberto H.


  • Ising model, phase separation, large and moderate deviations, local limit theorems, Wolff shape


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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