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Teoriya Veroyatnostei i ee Primeneniya, 2019, Volume 64, Issue 4, Pages 642–670
DOI: https://doi.org/10.4213/tvp5325 (Mi tvp5325) 		 
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
Full-text PDF (657 kB) Citations (5)
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DOI: https://doi.org/10.4213/tvp5325
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.
Funding agency Grant number
Russian Science Foundation 17-11-01173
This research was carried out with the financial support of the Russian Science Foundation (grant 17-11-01173) at Novosibirsk State University. The author is an associated professor at Moscow State University.
Received: 28.05.2019
Accepted: 27.06.2019
English version:
Theory of Probability and its Applications, 2020, Volume 64, Issue 4, Pages 513–534
DOI: https://doi.org/10.1137/S0040585X97T989672
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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