A lower bound on the critical parameter of interlacement percolation in high dimension

Author:

Sznitman Alain-Sol

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Reference22 articles.

1. Alon N., Benjamini I., Stacey A.: Percolation on finite graphs and isoperimetric inequalities. Ann. Probab. 32(32A), 1727–1745 (2004)

2. Bollobás B., Kohayakawa Y.: Percolation in high dimension. Eur. J. Combinatorics 15, 113–125 (1994)

3. Bollobás B., Leader I.: Edge-isoperimetric inequalities in the grid. Combinatorica 11(4), 299–314 (1991)

4. Carne T.K.: A transmutation formula for Markov chains. Bull. Sci. Math. 109(4), 399–405 (1985)

5. Černý, J., Teixeira, A., Windisch, D.: Giant vacant component left by a random walk in a random d-regular graph. Preprint

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1. On the percolative properties of the intersection of two independent interlacements;Latin American Journal of Probability and Mathematical Statistics;2021

2. Geometry of the vacant set left by random walk on random graphs, Wright's constants, and critical random graphs with prescribed degrees;Random Structures & Algorithms;2019-07-25

3. Transience of the vacant set for near-critical random interlacements in high dimensions;Annales de l'Institut Henri Poincaré, Probabilités et Statistiques;2016-02-01

4. Russo’s Formula for Random Interlacements;Journal of Statistical Physics;2015-04-28

5. High-dimensional asymptotics for percolation of Gaussian free field level sets;Electronic Journal of Probability;2015-01-01

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