Geodesic
Fluctuations of the propagation front of a~catalytic branching walk
Teoriâ veroâtnostej i ee primeneniâ, Tome 64 (2019) no. 4, pp. 642-670

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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
Mots-clés : propagation front, fluctuations of front. 
@article{TVP_2019_64_4_a1,
     author = {E. Vl. Bulinskaya},
     title = {Fluctuations of the propagation front of a~catalytic branching walk},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {642--670},
     publisher = {mathdoc},
     volume = {64},
     number = {4},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2019_64_4_a1/}
}
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E. Vl. Bulinskaya. Fluctuations of the propagation front of a~catalytic branching walk. Teoriâ veroâtnostej i ee primeneniâ, Tome 64 (2019) no. 4, pp. 642-670. http://geodesic.mathdoc.fr/item/TVP_2019_64_4_a1/