Results 11 to 20 of about 38,313 (309)
Survival probability of a critical multi-type branching process in random environment [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We study a multi-type branching process in i.i.d. random environment. Assuming that the associated random walk satisfies the Doney-Spitzer condition, we find the asymptotics of the survival probability at time $n$ as $n \to \infty$.
Elena Dyakonova
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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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A Note on the Transience of Critical Branching Random Walks on the Line [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Gantert and Müller (2006) proved that a critical branching random walk (BRW) on the integer lattice is transient by analyzing this problem within the more general framework of branching Markov chains and making use of Lyapunov functions. The main purpose
Gerold Alsmeyer, Matthias Meiners
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Branching Random Walk with Catalysts [PDF]
Electronic Journal of Probability, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kesten, Harry, Sidoravicius, Vladas
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Branching processes in random environment die slowly [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 Let $Z_n,n=0,1,\ldots,$ be a branching process evolving in the random environment generated by a sequence of iid generating functions $f_0(s),f_1(s),\ldots,$ and let $S_0=0$, $S_k=X_1+ \ldots +X_k,k \geq 1$, be the associated random walk with $X_i=\log ...
Vladimir Vatutin, Andreas Kyprianou
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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
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SciPost Physics, 2023 We study the random transverse field Ising model on a finite Cayley tree. This enables us to probe key questions arising in other important disordered quantum systems, in particular the Anderson transition and the problem of dirty bosons on the Cayley ...
Ankita Chakrabarti, Cyril Martins, Nicolas Laflorencie, Bertrand Georgeot, Éric Brunet, Gabriel Lemarié
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Branching random walks and multi-type contact-processes on the percolation cluster of ${\mathbb{Z}}^{d}$ [PDF]
, 2015 In this paper we prove that, under the assumption of quasi-transitivity, if a branching random walk on ${{\mathbb{Z}}^d}$ survives locally (at arbitrarily large times there are individuals alive at the origin), then so does the same process when ...
Bertacchi, Daniela, Zucca, Fabio
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Moments of Moments and Branching Random Walks [PDF]
Journal of Statistical Physics, 2021 AbstractWe calculate, for a branching random walk $$X_n(l)$$ X n ( l ) to a leaf l at depth n on a binary
E. C. Bailey, J. P. Keating
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A functional limit law for the profile of plane-oriented recursive trees. [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We give a functional limit law for the normalized profile of random plane-oriented recursive trees. The proof uses martingale convergence theorems in discrete and continuous-time. This complements results of Hwang (2007).
Henning Sulzbach
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