The interchange process with reversals on the complete graph
Artikel i vetenskaplig tidskrift, 2019

© 2019, Institute of Mathematical Statistics. All rights reserved. We consider an extension of the interchange process on the complete graph, in which a fraction of the transpositions are replaced by ‘reversals’. The model is motivated by statistical physics, where it plays a role in stochastic representations of xxz-models. We prove convergence to PD(1) of the rescaled cycle sizes, above the critical point 2 for the appearance of macroscopic cycles. This extends a result of Schramm on convergence to PD(1) for the usual interchange process.

XXZ model

Interchange process

Poisson-Dirichlet distribution


Jakob Björnberg

Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori

Michał Kotowski

Uniwersytet Warszawski

Benjamin Lees

Technische Universität Darmstadt

Piotr Miłoś

Polish Academy of Sciences

Electronic Journal of Probability

1083-6489 (ISSN)

Vol. 24 108



Sannolikhetsteori och statistik

Matematisk analys



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