Mean-field bounds for Poisson-Boolean percolation-Reference-Cited by-同舟云学术

Mean-field bounds for Poisson-Boolean percolation

Published:2023-01-01 Issue:none Volume:28 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Dewan Vivek¹,Muirhead Stephen²

Affiliation:

1. Institut Fourier, Université Grenoble Alpes

2. School of Mathematics and Statistics, University of Melbourne

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference28 articles.

1. D. Ahlberg, V. Tassion, and A. Teixeira, Sharpness of the phase transition for continuum percolation, Probab. Theory Related Fields 172 (2018), no. 1–2, 525–281.

2. M. Aizenman and C. M. Newman, Tree graph inequalities and critical behavior in percolation models, J. Stat. Phys. 36 (1984), 107–143.

3. S. Chatterjee, J. Hanson, and P. Sosoe, Subcritical connectivity and some exact tail exponents in high dimensional percolation (2021). 2107.14347

4. J. T. Chayes and L. Chayes, The mean field bound for the order parameter of Bernoulli percolation, Percolation Theory and Ergodic Theory of Infinite Particle Systems. The IMA Volumes in Mathematics and its Applications, vol. 8 (H. Kesten, ed.), Springer, New York, 1987, pp. 49–71.

5. A. Dembo and O. Zeitouni, Large deviations techniques and applications, Springer Berlin, Heidelberg, 2010.

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