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papers

Publications (22)

math.PR2019

Vanishing of the anchored isoperimetric profile in bond percolation at p c

RaphaÃ«l Cerf, Barbara Dembin

We consider the anchored isoperimetric profile of the infinite open cluster, defined for $p > p_c$ , whose existence has been recently proved in [3]. We extend adequately the defin…

math.PR2018

Size of a minimal cutset in supercritical first passage percolation

Barbara Dembin, Marie ThÃ©ret

We consider the standard model of i.i.d. first passage percolation on Z^d given a distribution G on [0, + $\infty$ ] (including + $\infty$ ). We suppose that G({0}) > 1 -- p\_c(d), i.e…

math.PR2021

The time constant for Bernoulli percolation is Lipschitz continuous strictly above $p_{c}$

RaphaÃ«l Cerf, Barbara Dembin

We consider the standard model of i.i.d. first passage percolation on $Z^{d}$ given a distribution $G$ on $[0, + \infty]$ ( $+ \infty$ is allowed). When $G([0,+\infty]) < p_c(d)…

math.PR2025

Noise sensitivity and variance lower bound for minimal left-right crossing of a square in first-passage percolation

Barbara Dembin, Dor Elboim

We study first-passage percolation on $Z^{2}$ with independent and identically distributed weights, whose common distribution is uniform on ${a, b}$ with $0 < a < b < \infty$ . F…

math.PR2024

Coalescence of geodesics and the BKS midpoint problem in planar first-passage percolation

Barbara Dembin, Dor Elboim, Ron Peled

We consider first-passage percolation on $Z^{2}$ with independent and identically distributed weights whose common distribution is absolutely continuous with a finite exponen…

math.PR2018

The maximal flow from a compact convex subset to infinity in first passage percolation on Z^d

Barbara Dembin

We consider the standard first passage percolation model on Z^d with a distribution G on R+ that admits an exponential moment. We study the maximal flow between a compact convex su…