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

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Showing 2009 · math.PRShow all

4 papers · 2 filters

math.PR2009

Lower large deviations for the maximal flow through tilted cylinders in two-dimensional first passage percolation

Raphaël Rossignol, Marie Théret

Equip the edges of the lattice $Z^{2}$ with i.i.d. random capacities. A law of large numbers is known for the maximal flow crossing a rectangle in $R^{2}$ when the si…

math.PR2009

Law of large numbers for the maximal flow through a domain of $R^{d}$ in first passage percolation

Raphaël Cerf, Marie Théret

We consider the standard first passage percolation model in the rescaled graph $Z^{d} / n$ for $d \geq 2$ , and a domain $Ω$ of boundary $Γ$ in $R^{d}$ . Let $Γ^{1}$ and $Γ^…

math.PR2009★ 6 cited

Upper large deviations for the maximal flow through a domain of $\bolds{\mathbb{R}^d}$ in first passage percolation

Raphaël Cerf, Marie Théret

We consider the standard first passage percolation model in the rescaled graph $Z^{d} / n$ for $d \geq 2$ and a domain $Ω$ of boundary $Γ$ in $R^{d}$ . Let $Γ^{1}$ and $Γ^…

math.PR2009

Law of large numbers for the maximal flow through tilted cylinders in two-dimensional first passage percolation

Raphaël Rossignol, Marie Théret

Equip the edges of the lattice $Z^{2}$ with i.i.d. random capacities. We prove a law of large numbers for the maximal flow crossing a rectangle in $R^{2}$ when the si…

Lower large deviations for the maximal flow through tilted cylinders in two-dimensional first passage percolation

Law of large numbers for the maximal flow through a domain of Rd in first passage percolation

Upper large deviations for the maximal flow through a domain of $\bolds{\mathbb{R}^d}$ in first passage percolation

Law of large numbers for the maximal flow through tilted cylinders in two-dimensional first passage percolation

Law of large numbers for the maximal flow through a domain of $R^{d}$ in first passage percolation