Marie Th'eret

activity

20062026

most citedUpper large deviations for the maximal flow in first passage percolation

9 citations · 26 across the 15 of their papers we have counts for

collaborators

20 papers

math.PR2026

The $K$ -th nearest neighbor random walk on a Poisson point process gets trapped

Anne-Laure Basdevant, David Coupier, Jean-Baptiste Gouéré +1

The $K$ -th nearest neighbor random walk $(X_{n})_{n \geq 0}$ on a homogeneous Poisson point process $χ$ on $R^{d}$ ( $d \geq 1$ ), starts at the origin and at each step picks its next Po…

math.PR2024

First-order behavior of the time constant in non-isotropic continuous first-passage percolation

Anne-Laure Basdevant, Jean-Baptiste Gouéré, Marie Théret

Consider $Ξ$ a homogeneous Poisson point process on $R^{d}$ ( $d \geq 2$ ) with unit intensity with respect to the Lebesgue measure. For $ε \geq 0$ , we define the Bool…

math.PR2021

First-order behavior of the time constant in Bernoulli first-passage percolation

Anne-Laure Basdevant, Jean-Baptiste Gouéré, Marie Théret

We consider the standard model of first-passage percolation on $Z^{d}$ ( $d \geq 2$ ), with i.i.d. passage times associated with either the edges or the vertices of the graph.…

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.PR2020★ 1 cited

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.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…

The K-th nearest neighbor random walk on a Poisson point process gets trapped

First-order behavior of the time constant in non-isotropic continuous first-passage percolation

First-order behavior of the time constant in Bernoulli first-passage percolation

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

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

Size of a minimal cutset in supercritical first passage percolation

The $K$ -th nearest neighbor random walk on a Poisson point process gets trapped