The time constant for Bernoulli percolation is Lipschitz continuous strictly above pc
نویسندگان
چکیده
We consider the standard model of i.i.d. first passage percolation on Zd given a distribution G [0,+∞] ( +∞ is allowed). When G([0,+∞))>pc(d), it known that time constant μG exists. are interested in regularity properties map G↦μG. study specific case distributions form Gp=pδ1+(1−p)δ∞ for p>pc(d). In this case, travel between two points equal to length shortest path bond parameter p. show function p↦μGp Lipschitz continuous every interval [p0,1], where p0>pc(d).
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ژورنال
عنوان ژورنال: Annals of Probability
سال: 2022
ISSN: ['0091-1798', '2168-894X']
DOI: https://doi.org/10.1214/22-aop1565