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Potentials of random walks on trees
(Elsevier, 2016)
In this article we characterize inverse M-matrices and potentials whose inverses are supported on trees. In the symmetric case we show they are a Hadamard product of tree ultrametric matrices, generalizing a result by ...
Transience of conditioned walks on the plane: Encounters and speed of escape
(Project Euclid, 2020-10)
We consider the two-dimensional simple random walk conditioned on never hitting the origin, which is, formally speaking, the Doob’s h-transform of the simple random walk with respect to the potential kernel. We then study ...
Asymptotic expansion of the invariant measure for ballistic random walk in the low disorder regime
(2015)
We consider a random walk in random environment in the low disorder regime on Zd. That is, the probability that the random walk jumps from a site x to a nearest neighboring site x+e is given by p(e)+ǫξ(x,e), where p(e) is ...
Knudsen Gas in a Finite Random Tube: Transport Diffusion and First Passage Properties
(SpringerNew YorkEUA, 2010)
Problema de perseguição-evasão baseado em random walkPursuit-evasion problem based on random walk
(Universidade Federal de SergipePós-Graduação em Engenharia ElétricaBrasilUFS, 2017)
NONHOMOGENEOUS RANDOM WALKS SYSTEMS ON Z
(APPLIED PROBABILITY TRUST, 2010)
We consider a random walks system on Z in which each active particle performs a nearest-neighbor random walk and activates all inactive particles it encounters. The movement of an active particle stops when it reaches a ...
Random walks systems with killing on Z
(TAYLOR & FRANCIS LTD, 2008)
We study random walks systems on Z whose general description follows. At time zero, there is a number N >= 1 of particles at each vertex of N, all being inactive, except for those placed at the vertex one. Each active ...
Random Walks Systems With Finite Lifetime On Z
(SpringerNew York, 2016)
Asymptotic behavior of a stochastic combustion growth process
(EUROPEAN MATHEMATICAL SOC, 2004)
We study a continuous time growth process on the d-dimensional hypercubic lattice Z(d), which admits a phenomenological interpretation as the combustion reaction A + B --> 2A, where A represents heat particles and B inert ...