# Coarsening Model on $${\mathbb{Z}^{d}}$$Zd with Biased Zero-Energy Flips and an Exponential Large Deviation Bound for ASEP

@article{Damron2018CoarseningMO, title={Coarsening Model on \$\$\{\mathbb\{Z\}^\{d\}\}\$\$Zd with Biased Zero-Energy Flips and an Exponential Large Deviation Bound for ASEP}, author={Michael Damron and Leonid A. Petrov and David J Sivakoff}, journal={Communications in Mathematical Physics}, year={2018}, volume={362}, pages={185-217} }

We study the coarsening model (zero-temperature Ising Glauber dynamics) on $${\mathbb{Z}^{d}}$$Zd (for $${d \geq 2}$$d≥2) with an asymmetric tie-breaking rule. This is a Markov process on the state space $${\{-1,+1\}^{{\mathbb{Z}}^d}}$${-1,+1}Zd of “spin configurations” in which each vertex updates its spin to agree with a majority of its neighbors at the arrival times of a Poisson process. If a vertex has equally many +1 and −1 neighbors, then it updates its spin value to +1 with probability…

## One Citation

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