Results 11 to 20 of about 1,851,663 (252)
Branching random walks II [PDF]
Stochastic Processes and Their Applications, 1976 AbstractA general method is developed with which various theorems on the mean square convergence of functionals of branching random walks are proven. The results cover extensions and generalizations of classical central limit analogues as well as a result of a different type.
Norman Kaplan
exaly +8 more sources
Moments of Moments and Branching Random Walks. [PDF]
J Stat Phys, 2021 AbstractWe calculate, for a branching random walk $$X_n(l)$$ X n ( l ) to a leaf l at depth n on a binary
Bailey EC, Keating JP.
europepmc +6 more sources
Branching Random Walks with Two Types of Particles on Multidimensional Lattices
Mathematics, 2022 We consider a continuous-time branching random walk on a multidimensional lattice with two types of particles and an infinite number of initial particles.
Iuliia Makarova +3 more
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Branching Random Walks with Ageing
MathematicsBranching processes are stochastic models describing the evolution of populations in which individuals reproduce and die independently over time. In the classical setting, an individual’s reproductive capacity is fixed throughout its lifetime.
Daniela Bertacchi +2 more
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Branching Random Walks with One Particle Generation Center and Possible Absorption at Every Point
Mathematics, 2023 We consider a new model of a branching random walk on a multidimensional lattice with continuous time and one source of particle reproduction and death, as well as an infinite number of sources in which, in addition to the walk, only the absorption of ...
Elena Filichkina, Elena Yarovaya
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On the Critical Parameters of Branching Random Walks
MathematicsGiven a discrete spatial structure X, we define continuous-time branching processes {ηt}t≥0 that model a population breeding and dying on X. These processes are usually called branching random walks, and ηt(x) denotes the number of individuals alive at ...
Daniela Bertacchi, Fabio Zucca
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Branching Random Walks in a Random Killing Environment with a Single Reproduction Source
MathematicsWe consider a continuous-time branching random walk on Z in a random non-homogeneous environment. The process starts with a single particle at initial time t=0.
Vladimir Kutsenko +2 more
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Random walks, spectral radii, and Ramanujan graphs
, 2004 We investigate properties of random walks on trees with finitely many cone types and apply our results to get estimates on spectral radii of groups and to check whether a given finite graph is Ramanujan.
Nagnibeda, Tatiana,
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Renormalizations of Branching Random Walks in Equilibrium
Electronic Journal of Probability, 2002 The model studied in the paper is critical branching random walk on the \(d\)-dimensional lattice \(\mathbb{Z}^d\) with translation-invariant transition kernel, which in the case of transient symmetrized transition kernel is known to have non-degenerate equilibrium states. The author's goal is to investigate the large space structure of the equilibria,
exaly +4 more sources
Non-homogeneous random walks with non-integrable increments and heavy-tailed random walks on strips [PDF]
, 2012 We study asymptotic properties of spatially non-homogeneous random walks with non-integrable increments, including transience, almost-sure bounds, and existence and non existence of moments for first-passage and last-exit times.
MacPhee, Iain M. +9 more
core +4 more sources