Results 11 to 20 of about 1,983,959 (269)
Branching random walk in random environment on trees [PDF]
Stochastic Processes and their Applications, 2003 The authors consider a supercritical branching random walk on a rooted tree with random environment, the special attention being paid to the case where both the branching and the step transition parameters are random quantities. For this model criteria of recurrence (strong recurrence) and transience (strong transience) are presented.
Machado, F.P., Popov, S.Yu.
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The multitype branching random walk, II [PDF]
Journal of Multivariate Analysis, 1982 AbstractThe limiting behaviour of the multitype branching random walk is studied. A limit theorem is proven for the supercritical process. Steady‐state distributions are shown to exist for the subcritical process with immigration, and for the critical transient process beginning with Poisson random fields.
Gail Ivanoff, B
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Random walk with barycentric self-interaction [PDF]
, 2010 We study the asymptotic behaviour of a $d$-dimensional self-interacting random walk $X_n$ ($n = 1,2,...$) which is repelled or attracted by the centre of mass $G_n = n^{-1} \sum_{i=1}^n X_i$ of its previous trajectory. The walk's trajectory $(X_1,...,X_n)
Volkov, S. +13 more
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Logarithmic speeds for one-dimensional perturbed random walk in random environment [PDF]
, 2008 We study the random walk in random environment on Z+ = f0; 1; 2; : : :g, where the environment is subject to a vanishing (random) perturbation. The two particular cases that we consider are: (i) random walk in random environment perturbed from Sinai's ...
Menshikov, M. V., Wade, Andrew R.
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Note on the Generalized Branching Random Walk on the Galton–Watson Tree
Fractal and Fractional, 2023 Let ∂T be a super-critical Galton–Watson tree. Recently, the first author computed almost surely and simultaneously the Hausdorff dimensions of the sets of infinite branches of the boundary of ∂T along which the sequence SnX(t)/SnX˜(t) has a given set of
Najmeddine Attia, Rim Amami, Rimah Amami
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Individuals at the origin in the critical catalytic branching random walk [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 A continuous time branching random walk on the lattice $\mathbb{Z}$ is considered in which individuals may produce children at the origin only. Assuming that the underlying random walk is symmetric and the offspring reproduction law is critical we prove ...
Valentin Topchii, Vladimir Vatutin
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Inflationary theory of branching morphogenesis in the mouse salivary gland
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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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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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 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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