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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2014

2014

First passage percolation on Z2 is a model for describing the spread of an infection on the sites of the square lattice. Theâ€¦Â (More)

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2012

2012

We consider first passage percolation on sparse random graphs with prescribed degree distributions and general independent andâ€¦Â (More)

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2009

2009

<lb>We study first passage percolation on the configuration model. Assuming that each edge has an<lb>independent exponentiallyâ€¦Â (More)

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2007

2007

RÃ©sumÃ©: On obtient une nouvelle inÃ©galitÃ© de concentration exponentielle pour la percolation de premier passage, valable pour uneâ€¦Â (More)

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Review

2007

Review

2007

- Nathaniel D. Blair-Stahn
- 2007

This paper is a survey of various results and techniques in first passage percolation, a random process modeling a spreadingâ€¦Â (More)

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2005

2005

We consider a wide class of ergodic first passage percolation processes on Z2 and prove that there exist at least four one-sidedâ€¦Â (More)

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2005

2005

Let 0 < a < b <âˆž be fixed scalars. Assign independently to each edge in the lattice Z2 the value a with probability p or theâ€¦Â (More)

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2000

2000

We study first passage percolation on the random graph Gp(N) with exponentially distributed weights on the links. For the specialâ€¦Â (More)

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1997

1997

An interacting particle system modelling competing growth on the Z2 lattice is defined as follows. Each x âˆˆ Z2 is in one of theâ€¦Â (More)

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1970

1970

Let 0 < a < b < âˆž, and for each edge e of Zd let Ï‰e = a or Ï‰e = b, each with probability 1/2, independently. This induces aâ€¦Â (More)

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