Barbara Dembin

activity

20182025

most citedRegularity of the time constant for a supercritical Bernoulli percolation

10 citations · 14 across the 18 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

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)…

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​

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