Simon, Barry and van Enter, Aernout (2022) Lattice Systems. In: Wiley StatsRef: Statistics Reference Online. Wiley , New York, NY, pp. 1-8. ISBN 9781118445112. https://resolver.caltech.edu/CaltechAUTHORS:20220301-900050000
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Abstract
Lattice systems form a widely studied class of models originating in statistical mechanics, and consisting of single-site observables (functions or operators) describing “spins,” living on infinite lattices. They have found applications in various other fields, in physics (e.g., field theory), mathematics (dynamical systems and probability theory), and also as models for epidemics and populations. Their major interest and difference with other stochastic processes is due to the occurrence of various phase transitions, where the dependence on parameters becomes nonsmooth, and/or the number of measures associated with a certain parameter can change.
| Item Type: | Book Section | ||||||
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| Additional Information: | © 2022 John Wiley & Sons. Published Online: 27 February 2022. | ||||||
| Subject Keywords: | Ising models; Potts models; vector spin models; quantum spin models; vertex models; lattice gauge models | ||||||
| DOI: | 10.1002/9781118445112.stat00085.pub2 | ||||||
| Record Number: | CaltechAUTHORS:20220301-900050000 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20220301-900050000 | ||||||
| Official Citation: | Simon, B. and van Enter, A. (2022). Lattice Systems. In Wiley StatsRef: Statistics Reference Online (eds N. Balakrishnan, T. Colton, B. Everitt, W. Piegorsch, F. Ruggeri and J.L. Teugels). https://doi.org/10.1002/9781118445112.stat00085.pub2 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 113669 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | George Porter | ||||||
| Deposited On: | 02 Mar 2022 00:25 | ||||||
| Last Modified: | 02 Mar 2022 00:25 |
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