| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, R Do Matao 1010, BR-05508900 Sao Paulo, SP - Brazil
[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2 - Canada
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Proceedings of the American Mathematical Society; v. 149, n. 10, p. 4355-4369, OCT 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We demonstrate the equivalence of two definitions of a Gibbs measure on a subshift over a countable group. We formulate a more general version of the classical Dobru.sin-Lanford-Ruelle equations with respect to a measurable cocycle, which reduce to the classical equations when the cocycle is induced by an interaction or a potential, and show that a measure satisfying these equations must have the conformal property. We also review methods of constructing an interaction from a potential and vice versa, such that the interaction and the potential have the same Gibbs and equilibrium measures. (AU) | |
| FAPESP's process: | 18/21067-0 - A probabilistic approach to spin systems |
| Grantee: | Luísa Bürgel Borsato |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 19/08349-9 - Gibbs and equilibrium measures on subshifts |
| Grantee: | Luísa Bürgel Borsato |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |