Results 1 to 10 of about 220,480 (218)
Minima in branching random walks [PDF]
The Annals of Probability, 2009 Given a branching random walk, let $M_n$ be the minimum position of any member of the $n$th generation. We calculate $\mathbf{E}M_n$ to within O(1) and prove exponential tail bounds for $\mathbf{P}\{|M_n-\mathbf{E}M_n|>x\}$, under quite general ...
Louigi Addario‐Berry, Bruce Reed
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On the trace of branching random walks [PDF]
arXiv, 2010 We study branching random walks on Cayley graphs. A first result is that the trace of a transient branching random walk on a Cayley graph is a.s. transient for the simple random walk. In addition, it has a.s.
Benjamini, Itai, Müller, Sebastian
core +6 more sources
A generating function approach to branching random walks [PDF]
arXiv, 2015 It is well known that the behaviour of a branching process is completely described by the generating function of the offspring law and its fixed points.
Daniela Bertacchi, Fabio Zucca
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Inflationary theory of branching morphogenesis in the mouse salivary gland [PDF]
Nature Communications, 2023 The mechanisms that regulate the patterning of branched epithelia remain a subject of long-standing debate. Recently, it has been proposed that the statistical organization of multiple ductal tissues can be explained through a local self-organizing ...
Ignacio Bordeu +2 more
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Branching Random Walk with Catalysts [PDF]
Electronic Journal of Probability, 2003 Shnerb et al. (2000), (2001) studied the following system of interacting particles on $\Bbb Z^d$: There are two kinds of particles, called $A$-particles and $B$-particles. The $A$-particles perform continuous time simple random walks, independently of each other. The jumprate of each $A$-particle is $D_A$.
Harry Kesten, Vladas Sidoravičius
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Critical branching-annihilating random walk of two species [PDF]
, 2001 The effect of blocking between different species occurring in one dimension is investigated here numerically in the case of particles following branching and annihilating random walk with two offsprings.
Géza Ódor
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On the tail of the branching random walk local time [PDF]
Probability Theory and Related Fields, 2020 AbstractConsider a critical branching random walk on $$\mathbb Z^d$$ Z d , $$d\ge 1$$ d ≥ 1 , started with a single particle at the origin, and ...
Angel, Omer +2 more
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A $N$-branching random walk with random selection [PDF]
Latin American Journal of Probability and Mathematical Statistics, 2016 We consider an exactly solvable model of branching random walk with random selection, which describes the evolution of a population with $N$ individuals on the real line. At each time step, every individual reproduces independently, and its offspring are
Cortines, Aser, Mallein, Bastien
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On multidimensional branching random walks in random environment
The Annals of Probability, 2005 We study branching random walks in random i.i.d. environment in $\Z^d, d \geq 1$. For this model, the population size cannot decrease, and a natural definition of recurrence is introduced. We prove a dichotomy for recurrence/transience, depending only on the support of the environmental law.
Francis Comets, Serguei Popov
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Survival Probability of the Branching Random Walk Killed Below a Linear Boundary [PDF]
, 2011 We give an alternative proof of a result by N. Gantert, Y. Hu and Z. Shi on the asymptotic behavior of the survival probability of the branching random walk killed below a linear boundary, in the special case of deterministic binary branching and bounded
Jean Bérard, Jean-Baptiste Gouéré
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