The Annals of Probability

Logarithmic Sobolev inequality for zero-range dynamics

Paolo Dai Pra and Gustavo Posta

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Abstract

We prove that the logarithmic Sobolev constant for zero-range processes in a box of diameter L grows as L2.

Article information

Source
Ann. Probab., Volume 33, Number 6 (2005), 2355-2401.

Dates
First available in Project Euclid: 7 December 2005

Permanent link to this document
https://projecteuclid.org/euclid.aop/1133965861

Digital Object Identifier
doi:10.1214/009117905000000332

Mathematical Reviews number (MathSciNet)
MR2184099

Zentralblatt MATH identifier
1099.60068

Subjects
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43] 82C22: Interacting particle systems [See also 60K35]

Keywords
Logarithmic Sobolev inequality zero-range processes

Citation

Dai Pra, Paolo; Posta, Gustavo. Logarithmic Sobolev inequality for zero-range dynamics. Ann. Probab. 33 (2005), no. 6, 2355--2401. doi:10.1214/009117905000000332. https://projecteuclid.org/euclid.aop/1133965861


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