Logarithmic Sobolev inequality for the inhomogeneous zero range process

Details Logarithmic Sobolev inequality for the inhomogeneous zero range process Logarithmic Sobolev inequality for the inhomogeneous zero range process

2006-06-30

arxiv.org/abs/math/0606778v1

Mathematics

Probability

Scientific paper

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
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