Results 11 to 20 of about 147,716 (285)
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.
Asmussen, Søren, Kaplan, Norman
openaire +6 more sources
Diffractive Electron-Nucleus Scattering and Ancestry in Branching Random Walks. [PDF]
Physical Review Letters, 2018 We point out an analogy between diffractive electron-nucleus scattering events and realizations of one-dimensional branching random walks selected according to the height of the genealogical tree of the particles near their boundaries.
A. H. Mueller, S. Munier
semanticscholar +3 more sources
Survival, extinction and approximation of discrete-time branching random walks
Journal of Statistical Physics, 2011 We consider a general discrete-time branching random walk on a countable set X. We relate local, strong local and global survival with suitable inequalities involving the first-moment matrix M of the process.
A. Greven +25 more
core +3 more sources
On the genealogy of branching random walks and of directed polymers [PDF]
Europhysics Letters, 2016 It is well known that the mean-field theory of directed polymers in a random medium exhibits replica symmetry breaking with a distribution of overlaps which consists of two delta functions.
B. Derrida, P. Mottishaw
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Quantitative Phase Diagrams of Branching and Annihilating Random Walks
Physical Review Letters, 2004 We demonstrate the full power of nonperturbative renormalisation group methods for nonequilibrium situations by calculating the quantitative phase diagrams of simple branching and annihilating random walks and checking these results against careful ...
Canet, L., Chaté, H., Delamotte, B.
core +4 more sources
Martin boundaries and asymptotic behavior of branching random walks [PDF]
Electronic Journal of Probability, 2023 Let $G$ be an infinite, locally finite graph. We investigate the relation between supercritical, transient branching random walk and the Martin boundary of its underlying random walk.
D. Bertacchi +2 more
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Branching random walks on relatively hyperbolic groups [PDF]
Annals of Probability, 2022 Let $\Gamma$ be a non-elementary relatively hyperbolic group with a finite generating set. Consider a finitely supported admissible and symmetric probability measure $\mu$ on $\Gamma$ and a probability measure $\nu$ on $\mathbb{N}$ with mean $r$.
Matthieu Dussaule +2 more
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Capacity of the Range of Branching Random Walks in Low Dimensions [PDF]
Proceedings of the Steklov Institute of Mathematics, 2021 Consider a branching random walk $$(V_u)_{u\in\mathcal T^{\text{IGW}}}$$ in $$\mathbb Z^d$$ with the genealogy tree $$\mathcal T^{\text{IGW}}$$ formed by a sequence of i.i.d. critical Galton–Watson trees. Let $$R_n$$ be the set of points in $$\mathbb Z^d$
Tianyi Bai, Yueyun Hu
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Limit Set of Branching Random Walks on Hyperbolic Groups [PDF]
Communications on Pure and Applied Mathematics, 2020 Let Γ be a nonelementary hyperbolic group with a word metric d and ∂Γ its hyperbolic boundary equipped with a visual metric da for some parameter a>1 .
V. Sidoravicius +2 more
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How to generate the tip of branching random walks evolved to large times [PDF]
Europhysics letters, 2020 In a branching process, the number of particles increasesexponentially with time, which makes numerical simulations for large timesdifficult. In many applications, however, only the region close to the extremalparticles is relevant (the “tip”).
E. Brunet, A. Le, A. Mueller, S. Munier
semanticscholar +1 more source