Open Access
2015 A product chain without cutoff
Hubert Lacoin
Author Affiliations +
Electron. Commun. Probab. 20: 1-9 (2015). DOI: 10.1214/ECP.v20-3765


In this note, we construct an example of a sequence of n-fold product chains which does display cutoff neither for the total-variation distance nor for the separation distance. In addition we show that this type of product chains necessarily displays pre-cutoff.


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Hubert Lacoin. "A product chain without cutoff." Electron. Commun. Probab. 20 1 - 9, 2015.


Accepted: 26 February 2015; Published: 2015
First available in Project Euclid: 7 June 2016

zbMATH: 1321.60147
MathSciNet: MR3320407
Digital Object Identifier: 10.1214/ECP.v20-3765

Primary: 60J10

Keywords: counter-example , Cutoff , Markov chain

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