Dependent percolation on Z2-Reference-Cited by-同舟云学术

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Dependent percolation on Z2

Published:2023-06-01 Issue:2 Volume:37 Page:
ISSN:0103-0752
Container-title:Brazilian Journal of Probability and Statistics
language:
Short-container-title:Braz. J. Probab. Stat.

Author:

de Lima Bernardo N. B.¹,Sidoravicius Vladas²,Vares Maria Eulália³

Affiliation:

1. Departamento de Matemática, Universidade Federal de Minas Gerais, Av. Antônio Carlos 6627, CEP 30123-970, Belo Horizonte, MG, Brazil

2. Shanghai New York University, Pudong New District, Shanghai, China

3. Instituto de Matemática, Universidade Federal do Rio de Janeiro, Av. Athos da Silveira Ramos 149, CEP 21941-909, Rio de Janeiro, RJ, Brazil

Publisher

Institute of Mathematical Statistics

Subject

Statistics and Probability

Reference24 articles.

1. Aizenman, M., Chayes, J. T., Chayes, L. and Newman, C. M. (1988). Discontinuity of the magnetization in one-dimendional $\frac{1}{{| x - y |}^{2}}$ Ising and Potts models. Journal of Statistical Physics 50, 1–40.

2. Basu, R. and Sly, A. (2014). Lipschitz embeddings of random sequences. Probability Theory and Related Fields 159, 721–775.

3. Benjamini, I. and Kesten, H. (1995). Percolation of arbitrary words in ${0, 1}^{N}$ . Annals of Probability 23, 1024–1060.

4. Bramson, M., Durrett, R. T. and Schonmann, R. H. (1991). The contact process in a random environment. Annals of Probability 19, 960–983.

5. Chayes, L. and Schonmann, R. H. (2000). Mixed percolation as a bridge between site and bond percolation. The Annals of Applied Probability 10, 1182–1196.

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1. A note on oriented percolation with inhomogeneities and strict inequalities;Stochastic Processes and their Applications;2024-09

2. Continuum percolation in a nonstabilizing environment;Electronic Journal of Probability;2023-01-01

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