Criticality of Measures on 2-d Ising Configurations: From Square to Hexagonal Graphs

Author:

Apollonio Valentina,D’Autilia Roberto,Scoppola BenedettoORCID,Scoppola Elisabetta,Troiani Alessio

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference12 articles.

1. Aizenman, M., Chayes, J.T., Chayes, L., Newman, C.M.: Discontinuity of the magnetization in one-dimensional $$1/|x-y|^2$$ Ising and Potts models. J. Stat. Phys. 50, 1–40 (1988)

2. Andrianaivo, L.N., D’Autilia, R., Troiani, A.: Parallel simulation of two-dimensional Ising models using Probabilistic Cellular Automata. (2019). arXiv:1908.07341

3. Apollonio, V., D’Autilia, R., Scoppola, B., Scoppola, E., Troiani, A.: Shaken dynamics for 2d Ising models. arXiv: 1904.06257

4. Cimasoni, D., Duminil-Copin, H.: The critical temperature for the Ising model on planar doubly periodic graphs. Electron. J. Prob. 18(44), 1–18 (2013)

5. Dai Pra, P., Scoppola, B., Scoppola, E.: Sampling from a Gibbs measure with pair interaction by means of PCA. J. Stat. Phys. 149, 722–737 (2012)

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