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This article is cited in 5 scientific papers (total in 5 papers)
Fluctuations of the propagation front of a catalytic branching walk
E. Vl. Bulinskaya Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
We consider a supercritical catalytic branching random walk (CBRW) with
finite number of catalysts on a multidimensional lattice $\mathbb{Z}^d$,
$d\in\mathbf{N}$. The behavior of a cloud of particles in space and time is
studied. When estimating the rate of the population propagation for the front
of a multidimensional CBRW, Bulinskaya [Stochastic Process. Appl., 128 (2018), pp. 2325–2340] extended the strong limit
theorem by Carmona and Hu [Ann. Inst. Henri Poincaré Probab. Stat., 50 (2014), pp. 327–351]. Our aim is to analyze the fluctuations of the
propagation front of a CBRW on $\mathbb{Z}^d$.
Keywords:
catalytic branching random walk, supercritical regime, spread of population, propagation front, fluctuations of front.
Received: 28.05.2019 Accepted: 27.06.2019
Citation:
E. Vl. Bulinskaya, “Fluctuations of the propagation front of a catalytic branching walk”, Teor. Veroyatnost. i Primenen., 64:4 (2019), 642–670; Theory Probab. Appl., 64:4 (2020), 513–534
Linking options:
https://www.mathnet.ru/eng/tvp5325https://doi.org/10.4213/tvp5325 https://www.mathnet.ru/eng/tvp/v64/i4/p642
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Abstract page: | 373 | Full-text PDF : | 56 | References: | 46 | First page: | 18 |
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