Geodesic
Limit theorem for non homogeneous by space random walks with branching of particles
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 36, Tome 535 (2024), pp. 237-254 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a symmetric, irreducible, continuous-time random walk (a Markov process) on the lattice $\mathbb{Z}^d$, $d\in \mathbb{N}$, with the possibility of particle branching at any lattice point. The evolution of the process starts from a single particle. Unlike previous works of the authors, the proof of the limit theorem on mean squared convergence of the normalized number of particles at an arbitrary fixed point of the lattice (at $t\rightarrow\infty$) fixed point of the lattice (at $t\rightarrow\infty$) is carried out without an additional assumption on spatial homogeneity of the random walk. 
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N. V. Smorodina; E. B. Yarovaya. Limit theorem for non homogeneous by space random walks with branching of particles. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 36, Tome 535 (2024), pp. 237-254. http://geodesic.mathdoc.fr/item/ZNSL_2024_535_a15/

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