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Phase transition for the frog model
We study a system of simple random walks on graphs, known as frog model. This model can
be described as follows: There are active and slee** particles living on some graph. Each …
be described as follows: There are active and slee** particles living on some graph. Each …
From transience to recurrence with Poisson tree frogs
Consider the following interacting particle system on the d-ary tree, known as the frog model:
Initially, one particle is awake at the root and iid Poisson many particles are slee** at …
Initially, one particle is awake at the root and iid Poisson many particles are slee** at …
Frogs on trees?
J Hermon - 2018 - projecteuclid.org
We study a system of simple random walks on T_d,n=(\calV_d,n,\calE_d,n), the d-ary tree of
depth n, known as the frog model. Initially there are Pois (λ) particles at each site …
depth n, known as the frog model. Initially there are Pois (λ) particles at each site …
Frogs and some other interacting random walks models
We review some recent results for a system of simple random walks on graphs, known
as\emphfrog model. Also, we discuss several modifications of this model, and present a few …
as\emphfrog model. Also, we discuss several modifications of this model, and present a few …
Asymptotic shape for the contact process in random environment
O Garet, R Marchand - 2012 - projecteuclid.org
The aim of this article is to prove asymptotic shape theorems for the contact process in
stationary random environment. These theorems generalize known results for the classical …
stationary random environment. These theorems generalize known results for the classical …
Information Dissemination via Random Walks in d-Dimensional Space
We study a natural information dissemination problem for multiple mobile agents in a
bounded Euclidean space. Agents are placed uniformly at random in the d-dimensional …
bounded Euclidean space. Agents are placed uniformly at random in the d-dimensional …
Fluctuations of the front in a one dimensional model of 𝑋+ 𝑌→ 2𝑋
We consider a model of the reaction $ X+ Y\to 2X $ on the integer lattice in which $ Y $
particles do not move while $ X $ particles move as independent continuous time, simple …
particles do not move while $ X $ particles move as independent continuous time, simple …
On an epidemic model on finite graphs
I Benjamini, LR Fontes, J Hermon, FP Machado - 2020 - projecteuclid.org
We study a system of random walks, known as the frog model, starting from a profile of
independent Poisson (λ) particles per site, with one additional active particle planted at …
independent Poisson (λ) particles per site, with one additional active particle planted at …
Stochastic orders and the frog model
The frog model starts with one active particle at the root of a graph and some number of
dormant particles at all nonroot vertices. Active particles follow independent random paths …
dormant particles at all nonroot vertices. Active particles follow independent random paths …
An improved upper bound for the critical probability of the frog model on homogeneous trees
We study the frog model on homogeneous trees, a discrete time system of simple symmetric
random walks whose description is as follows. There are active and inactive particles living …
random walks whose description is as follows. There are active and inactive particles living …