The time constant for Bernoulli percolation is Lipschitz continuous strictly above pc
Author:
Affiliation:
1. DMA, Ecole Normale Supérieure, CNRS, PSL University, 75005 Paris
2. D-MATH, ETH Zürich, Rämistrasse 101, 8092 Zürich
Publisher
Institute of Mathematical Statistics
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Reference16 articles.
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2. COX, J. T. (1980). The time constant of first-passage percolation on the square lattice. Adv. in Appl. Probab. 12 864–879.
3. COX, J. T. and KESTEN, H. (1981). On the continuity of the time constant of first-passage percolation. J. Appl. Probab. 18 809–819.
4. DAMRON, M. and TANG, P. (2019). Superlinearity of geodesic length in 2D critical first-passage percolation. In Sojourns in Probability Theory and Statistical Physics—II 101–122.
5. DEMBIN, B. (2021). Regularity of the time constant for a supercritical Bernoulli percolation. ESAIM Probab. Stat. 25 109–132.
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