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Convergence to equilibrium of biased plane partitions | | Pietro Caputo
; Fabio Martinelli
; Fabio Lucio Toninelli
; | | Date: |
31 Mar 2009 | | Abstract: | We study a single-flip dynamics for the monotone surface in (2+1) dimensions
obtained from a boxed plane partition. The surface is analyzed as a system of
non-intersecting simple paths. When the flips have a non-zero bias we prove
that there is a positive spectral gap uniformly in the boundary conditions and
in the size of the system. Under the same assumptions, for a system of size M,
the mixing time is shown to be of order M up to logarithmic corrections. | | Source: | arXiv, 0903.5079 | | Services: | Forum | Review | PDF | Favorites | |
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