Cluster-size decay in supercritical long-range percolation-Reference-Cited by-同舟云学术

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Cluster-size decay in supercritical long-range percolation

Published:2024-01-01 Issue:none Volume:29 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Jorritsma Joost¹,Komjáthy Júlia²,Mitsche Dieter³

Affiliation:

1. Centre for Mathematics & Computer Science (CWI), the Netherlands; Eindhoven University of Technology

2. Delft University of Technology, The Netherlands https://diamhomes.ewi.tudelft.nl/jkomjathy/

3. Institut Camille Jordan, Univ. Jean Monnet, Univ. de Lyon and IMC, Pontifícia Univ. Católica de Chile

Publisher

Institute of Mathematical Statistics

Reference37 articles.

1. K. Bringmann, R. Keusch, and J. Lengler. Geometric inhomogeneous random graphs. Theoretical Computer Science, 760:35–54, 2019.

2. M. Aizenman, F. Delyon, and B. Souillard. Lower bounds on the cluster size distribution. Journal of Statistical Physics, 23(3):267–280, 1980.

3. M. Aizenman, H. Kesten, and C. M. Newman. Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation. Communications in Mathematical Physics, 111(4):505 – 531, 1987.

4. K. Alexander, J. Chayes, and L. Chayes. The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation. Communications in Mathematical Physics, 131(1):1–50, 1990.

5. E. Babson and I. Benjamini. Cut sets and normed cohomology with applications to percolation. Proceedings of the American Mathematical Society, 127(2):589–597, 1999.

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