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The random interchange process on the hypercube

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Kotecky, Roman, Miłoś, Piotr and Ueltschi, Daniel (2016) The random interchange process on the hypercube. Electronic communications in probability, 21 (4). pp. 1-9. doi:10.1214/16-ECP4540 ISSN 1083-589X.

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Official URL: http://dx.doi.org/10.1214/16-ECP4540

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Abstract

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.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Hypercube, Heisenberg uncertainty principle
Journal or Publication Title: Electronic communications in probability
Publisher: University of Washington. Dept. of Mathematics
ISSN: 1083-589X
Official Date: 2016
Dates:
DateEvent
2016Published
7 January 2016Accepted
7 September 2015Submitted
Volume: 21
Number: 4
Number of Pages: 9
Page Range: pp. 1-9
DOI: 10.1214/16-ECP4540
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access (Creative Commons)
Funder: Grantová agentura České republiky [Grant Agency of the Czech Republic] (GACR)
Grant number: P201/12/2613 (GACR)

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