Convergence to equilibrium of biased plane partitions
Probability
2012-05-15 v3
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.
Keywords
Cite
@article{arxiv.0903.5079,
title = {Convergence to equilibrium of biased plane partitions},
author = {Pietro Caputo and Fabio Martinelli and Fabio Lucio Toninelli},
journal= {arXiv preprint arXiv:0903.5079},
year = {2012}
}
Comments
32 pages, 9 figures; v2 minor revision; to be published in Random Structures & Algorithms