Ergodicity of the Wang-Swendsen-Kotecký algorithm on several classes of lattices on the torus

Salas Martínez, Jesús

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Ergodicity of the Wang-Swendsen-Kotecký algorithm on several classes of lattices on the torus

Author(s): Salas Martínez, Jesús

Publisher: IOP Publising

Issued date: 2022-10-05

Citation: Salas, J. & Sokal, A. D. (2022). Ergodicity of the Wang–Swendsen–Kotecký algorithm on several classes of lattices on the torus. Journal of Physics A: Mathematical and Theoretical, 55(41), 415004.

DOI: 10.1088/1751-8121/ac92ae

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Comunidad de Madrid
Ministerio de Economía y Competitividad (España)
Agencia Estatal de Investigación (España)
Universidad Carlos III de Madrid

Sponsor: We warmly thank Jesper Jacobsen and Bojan Mohar for a careful reading of early drafts of the manuscript, and correspondence. The authors research was supported in part by the Spanish Ministerio de Economía, Industria y Competitividad (MINECO), Agencia Estatal de Investigación (AEI), and Fondo Europeo de Desarrollo Regional (FEDER) through Grant No. FIS2017-84440-C2-2-P, by Grant No. PID2020-116567GBC22 AEI/10.13039/501100011033, by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation), and by UK Engineering and Physical Sciences Research Council Grant EP/N025636/1.

Project: Gobierno de España. FIS2017-84440-C2-2-
Gobierno de España. PID2020-116567GBC22 AEI/10.13039/501100011033
Universidad Carlos III de Madrid. EPUC3M23
Comunidad de Madrid. V PRICIT

Keywords: Eulerian triangulations , Quadrangulations , Torus , Kempe chains , Antiferromagnetic potts model , Wang-Swendsen-Kotecký algorithm , Ergodicity

Embargo terms: 2023-10-05

URI: http://hdl.handle.net/10016/35976

Abstract:

We prove the ergodicity of the Wang-Swendsen-Kotecký (WSK) algorithm for the zero-temperature q-state Potts antiferromagnet on several classes of lattices on the torus. In particular, the WSK algorithm is ergodic for q 4 on any quadrangulation of the torus of [+]

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