# Collision times of random walks and applications to the Brownian web

@inproceedings{Coupier2015CollisionTO,
title={Collision times of random walks and applications to the Brownian web},
author={David Coupier and Kumarjit Saha and Anish Sarkar and Viet Chi Tran},
year={2015}
}
• David Coupier, +1 author Viet Chi Tran
• Published 2015
• Mathematics
• Convergence of directed forests, spanning on random subsets of lattices or on point processes, towards the Brownian web has made the subject of an abundant literature, a large part of which relies on a criterion proposed by Fontes Isopi Newman and Ravishankar (2004). One of their convergence condition, called (B2), roughly states that the probability that the first collision time of three paths, crossing a small segment of length $\varepsilon$, bigger than $t (>0)$ is of small order of… CONTINUE READING

Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

1

#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 28 REFERENCES

## Two-dimensional Poisson Trees converge to the Brownian web

• Mathematics
• 2005
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

## The Brownian Web: Characterization and Convergence

• Mathematics
• 2004
VIEW 6 EXCERPTS
HIGHLY INFLUENTIAL

## Markov Chains and Stochastic Stability

• Computer Science
• Communications and Control Engineering Series
• 1993
VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL

## Simulation of Stream Networks by Headword Growth and Branching

VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

## Random oriented trees: A model of drainage networks

• Mathematics
• 2004
VIEW 3 EXCERPTS

## A version of the random directed forest and its convergence to the Brownian web

• Mathematics
• 2017
VIEW 1 EXCERPT

## Hack’s law in a drainage network model: A Brownian web approach

• Mathematics
• 2016
VIEW 2 EXCERPTS

## A particle system with cooperative branching and coalescence.

• Mathematics
• 2015
VIEW 1 EXCERPT

## Coalescing Brownian flows: A new approach

• Mathematics
• 2015
VIEW 1 EXCERPT

## The Brownian web, the Brownian net, and their universality

• Mathematics
• 2015