The spectral gap of the 2-D stochastic Ising model with mixed boundary conditions

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dc.creatorAlexander, Kenneth S.
dc.creatorYoshida, Nobuo
dc.date2000-08-25
dc.date.accessioned2026-07-07T04:36:59Z
dc.date.available2026-07-07T04:36:59Z
dc.descriptionWe establish upper bounds for the spectral gap of the stochastic Ising model at low temperatures in an n-by-n box with boundary conditions which are not purely plus or minus; specifically, we assume the magnitude of the sum of the boundary spins over each interval of length n in the boundary is bounded by δn, where δ< 1. We show that for any such boundary condition, when the temperature is sufficiently low (depending on δ), the spectral gap decreases exponentially in n.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0008201
dc.identifierhttp://arxiv.org/abs/math/0008201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59803
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35 (primary), 82C20 (secondary)
dc.titleThe spectral gap of the 2-D stochastic Ising model with mixed boundary conditions
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