Logarithmic Sobolev inequality for the inhomogeneous zero range process
概率论
2007-05-23 v1
摘要
We prove that the logarithmic Sobolev constant for the inhomogeneous symmetric nearest neighbour zero range process on a cube of size N^d grows as N^2. We apply this result to the inhomogeneous process which arises in the study of the homogeneous version of the zero range interacting particle system with colours.
引用
@article{arxiv.math/0606778,
title = {Logarithmic Sobolev inequality for the inhomogeneous zero range process},
author = {Hanna Jankowski},
journal= {arXiv preprint arXiv:math/0606778},
year = {2007}
}