02-419 N. Sugimine

A lower bound on the spectral gap of the 3-dimensional stochastic Ising models (528K, postscript) Oct 9, 02

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Abstract. In higher dimension, we prove that the speed at which spectral gaps for plus boundary condition shrink to zero is different from the one at which spectral gaps for free boundary condition do. Especially, in 3-dimension, we can analize a little wider class of boundary conditions.

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