Sharpness of the phase transition for continuum percolation in $$\mathbb {R}^2$$ R 2-Reference-Cited by-同舟云学术

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Sharpness of the phase transition for continuum percolation in $$\mathbb {R}^2$$ R 2

Published:2017-11-25 Issue:1-2 Volume:172 Page:525-581
ISSN:0178-8051
Container-title:Probability Theory and Related Fields
language:en
Short-container-title:Probab. Theory Relat. Fields

Author:

Ahlberg Daniel,Tassion Vincent,Teixeira Augusto^ORCID

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do Rio de Janeiro

Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (CH)

Swedish Research Council

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Link

http://link.springer.com/article/10.1007/s00440-017-0815-8/fulltext.html

Reference45 articles.

1. Ahlberg, D., Broman, E., Griffiths, S., Morris, R.: Noise sensitivity in continuum percolation. Israel J. Math. 201(2), 847–899 (2014)

2. Aizenman, M., Chayes, J.T., Chayes, L., Fröhlich, J., Russo, L.: On a sharp transition from area law to perimeter law in a system of random surfaces. Commun. Math. Phys. 92(1), 19–69 (1983)

3. Ahlberg, D., Griffiths, S., Morris, R., Tassion, V.: Quenched Voronoi percolation. Adv. Math. 286, 889–911 (2016)

4. Alexander, K.S.: The RSW theorem for continuum percolation and the CLT for Euclidean minimal spanning trees. Ann. Appl. Probab. 6(2), 466–494 (1996)

5. Ahlberg, D., Tykesson, J.: The Poisson Boolean model in a random scenery. In preparation

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