The Annals of Probability

Measure concentration for Euclidean distance in the case of dependent random variables

Katalin Marton

Full-text: Open access

Abstract

We correct an error in the paper identified in the title. The error affects the factor before the square root of entropy in Theorem 1; the same factor appears in Theorem 2.

Article information

Source
Ann. Probab., Volume 38, Number 1 (2010), 439-442.

Dates
First available in Project Euclid: 25 January 2010

Permanent link to this document
https://projecteuclid.org/euclid.aop/1264434004

Digital Object Identifier
doi:10.1214/09-AOP463

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

Keywords
Measure concentration Wasserstein distance relative entropy Dobrushin–Shlosman mixing condition Gibbs sampler

Citation

Marton, Katalin. Measure concentration for Euclidean distance in the case of dependent random variables. Ann. Probab. 38 (2010), no. 1, 439--442. doi:10.1214/09-AOP463. https://projecteuclid.org/euclid.aop/1264434004


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