Barbara Dembin

activity

20182022

most citedLarge deviation principle for the cutsets and lower large deviation principle for the maximal flow in first passage percolation

2 citations · 3 across the 3 of their papers we have counts for

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math.PR2022★ 1 cited

The variance of the graph distance in the infinite cluster of percolation is sublinear

Barbara Dembin

We consider the standard model of i.i.d. bond percolation on $Z^{d}$ of parameter $p$ . When $p > p_{c}$ , there exists almost surely a unique infinite cluster $C_{p}$ . Usin…

math.PR2021★ 2 cited

Large deviation principle for the cutsets and lower large deviation principle for the maximal flow in first passage percolation

Barbara Dembin, Marie Théret

We consider the standard first passage percolation model in the rescaled lattice $Z^{d} / n$ for $d \geq 2$ and a bounded domain $Ω$ in $R^{d}$ . We denote by $Γ^{1}$ and $Γ^…

math.PR2021

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

Raphaël 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.PR2020

Large deviation principle for the streams and the maximal flow in first passage percolation

Barbara Dembin, Marie Théret

We consider the standard first passage percolation model in the rescaled lattice $Z^{d}$ for $d \geq 2$ and a bounded domain $Ω$ in $R^{d}$ . We denote by $Γ^{1}$ and $Γ^…

math.PR2019

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

Raphaël 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

Anchored isoperimetric profile of the infinite cluster in supercritical bond percolation is Lipschitz continuous

Barbara Dembin

We consider an i.i.d. supercritical bond percolation on $Z^{d}$ , every edge is open with a probability $p > p_{c} (d)$ , where $p_{c} (d)$ denotes the critical parameter for this…

The variance of the graph distance in the infinite cluster of percolation is sublinear

Large deviation principle for the cutsets and lower large deviation principle for the maximal flow in first passage percolation

The time constant for Bernoulli percolation is Lipschitz continuous strictly above pc​

Large deviation principle for the streams and the maximal flow in first passage percolation

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

Anchored isoperimetric profile of the infinite cluster in supercritical bond percolation is Lipschitz continuous

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