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First passage percolation

First passage percolation is a mathematical method used to describe the paths reachable in a random medium within a given amount of time.
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Papers overview

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2019
2019
We study Liouville first passage percolation metrics associated to a Gaussian free field $h$ mollified by the two-dimensional… Expand
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2018
2018
For stationary first passage percolation in two dimensions, the existence and uniqueness of semi-infinite geodesics directed in… Expand
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2016
2016
Given a planar continuum Gaussian free field $h^{\mathcal U}$ in a domain $\mathcal U$ with Dirichlet boundary condition and any… Expand
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Review
2015
Review
2015
We celebrate the 50th anniversary of one the most classical models in probability theory. In this survey, we describe the main… Expand
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2015
2015
We consider first-passage percolation on $\mathbb{Z}^2$ with i.i.d. weights, whose distribution function satisfies $F(0) = p_c… Expand
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2010
2010
In this paper we explore first passage percolation (FPP) on the Erd\H{o}s-R\'enyi random graph $G_n(p_n)$, where each edge is… Expand
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2010
2010
We study first passage percolation (FPP) on the configuration model (CM) having power-law degrees with exponent ? ? [1, 2) and… Expand
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2009
2009
We generalize the asymptotic shape theorem in first passage percolation on $\mathbb{Z}^d$ to cover the case of general… Expand
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Highly Cited
2001
Highly Cited
2001
We study first-passage percolation on the random graph Gp(N) with exponentially distributed weights on the links. For the special… Expand
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Highly Cited
1997
Highly Cited
1997
An interacting particle system modelling competing growth on the ℤ 2 lattice is defined as follows. Each x ∈ ℤ 2 is in one of the… Expand
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