Continuity and uniqueness of percolation critical parameters in finitary random interlacements-Reference-Cited by-同舟云学术

Continuity and uniqueness of percolation critical parameters in finitary random interlacements

Published:2022-01-01 Issue:none Volume:27 Page:
ISSN:1083-6489
Container-title:Electronic Journal of Probability
language:
Short-container-title:Electron. J. Probab.

Author:

Cai Zhenhao¹,Procaccia Eviatar B.²,Zhang Yuan¹

Affiliation:

1. Peking University, China

2. Technion – Israel Institute of Technology, Israel

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference29 articles.

1. M. Aizenman and D. J. Barsky, Sharpness of the phase transition in percolation models, Communications in Mathematical Physics 108 (1987), no. 3, 489–526.

2. L. Bowen, Finitary random interlacements and the gaboriau–lyons problem, Geometric and Functional Analysis 29 (2019), no. 3, 659–689.

3. Z. Cai, X. Han, J. Ye, and Y. Zhang, On chemical distance and local uniqueness of a sufficiently supercritical finitary random interlacement, arXiv preprint 2009.04044 (2020).

4. Z. Cai, Y. Xiong, and Y. Zhang, On (non-) monotonicity and phase diagram of finitary random interlacement, Entropy 23 (2021), no. 1, 69.

5. Z. Cai and Y. Zhang, Some rigorous results on the phase transition of finitary random interlacement, Electronic Communications in Probability, to appear, 2101.08010 (2021).

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1. On Chemical Distance and Local Uniqueness of a Sufficiently Supercritical Finitary Random Interlacements;Journal of Theoretical Probability;2022-06-03