Logarithmic Sobolev inequality for zero-range Dynamics

Paolo Dai Pra; Gustavo Posta

doi:10.1214/009117905000000332

Logarithmic Sobolev inequality for zero-range Dynamics

概率论 2007-05-23 v3 数学物理 math.MP

作者: Paolo Dai Pra , Gustavo Posta

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摘要

We prove that the logarithmic Sobolev constant for zero-range processes in a box of diameter $L$ grows as $L^2$ .

引用

@article{arxiv.math/0401248,
  title  = {Logarithmic Sobolev inequality for zero-range Dynamics},
  author = {Paolo Dai Pra and Gustavo Posta},
  journal= {arXiv preprint arXiv:math/0401248},
  year   = {2007}
}

备注

Published at http://dx.doi.org/10.1214/009117905000000332 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)

Logarithmic Sobolev inequality for zero-range Dynamics

摘要

引用

备注

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