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Название: The Spectral Gap of the 2-D Stochastic Ising Model with Nearly Single-Spin Boundary Conditions
Автор: Alexander K.S.
We establish upper bounds for the spectral gap of the stochastic Ising model at low temperature in an N×N box, with boundary conditions which are ‘‘plus’’ except for small regions at the corners which are either free or ‘‘minus.’’ The spectral gap decreases exponentially in the size of the corner regions, when these regions are of size at least of order log N.