Publication

Combinatorics For General Kinetically Constrained Spin Models

Laure Irène Marêché
2020
Journal Articles

Abstract

We study the set of possible configurations for a general kinetically constrained model (KCM), a nonmonotone version of the U-bootstrap percolation cellular automata. We solve a combinatorial question that, is a generalization of a problem addressed by Chung, Diaconis, and Graham [Adv. in Appl. Math., 27 (2001), pp. 192-206] for a specific one-dimensional KCM, the East model. Since the general models we consider are in any dimension and lack the oriented character of the East dynamics, we have to follow a completely different route than the one taken by Chung, Diaconis, and Graham. Our combinatorial result is used by Mareche, Martinelli, and Toninelli to complete the proof of a conjecture put forward by Morris.

Official source

https://infoscience.epfl.ch/entities/publication/4ea1bc33-9d41-4b69-bd58-01ec74747075

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Laure Irène Marêché
2020
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/4ea1bc33-9d41-4b69-bd58-01ec74747075

About this result

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