Barbara Dembin

activity

20182025

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 10 of their papers we have counts for

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Showing 2018 · math.PRShow all

5 papers · 2 filters

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…

math.PR2018

Existence of the anchored isoperimetric profile in supercritical bond percolation in dimension two and higher

Barbara Dembin

Let $d \geq 2$ . 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 point.…

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…

math.PR2018

Size of a minimal cutset in supercritical first passage percolation

Barbara Dembin, Marie Théret

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.PR2018

Regularity of the time constant for a supercritical Bernoulli percolation

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 percolation…