Open Access
2016 The random interchange process on the hypercube
Roman Kotecký, Piotr Miłoś, Daniel Ueltschi
Electron. Commun. Probab. 21: 1-9 (2016). DOI: 10.1214/16-ECP4540


We prove the occurrence of a phase transition accompanied by the emergence of cycles of diverging lengths in the random interchange process on the hypercube.


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Roman Kotecký. Piotr Miłoś. Daniel Ueltschi. "The random interchange process on the hypercube." Electron. Commun. Probab. 21 1 - 9, 2016.


Received: 7 September 2015; Accepted: 7 January 2016; Published: 2016
First available in Project Euclid: 3 February 2016

zbMATH: 1338.60019
MathSciNet: MR3485373
Digital Object Identifier: 10.1214/16-ECP4540

Primary: 60C05 , 60K35 , 82B20 , 82B31

Keywords: long cycles , quantum Heisenberg model , random interchange , Random Stirring

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