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 Uspekhi Mat. Nauk, 1998, Volume 53, Issue 5(323), Pages 229–230 (Mi umn77)

This article is cited in 18 scientific papers (total in 18 papers)

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society

A limit theorem for a supercritical branching random walk on $\mathbb Z^d$ with a single source

L. V. Bogachev, E. B. Yarovaya

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

DOI: https://doi.org/10.4213/rm77

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English version:
Russian Mathematical Surveys, 1998, 53:5, 1086–1088

Bibliographic databases:

MSC: 60G50, 60Fxx, 60J80
Accepted: 19.08.1998

Citation: L. V. Bogachev, E. B. Yarovaya, “A limit theorem for a supercritical branching random walk on $\mathbb Z^d$ with a single source”, Uspekhi Mat. Nauk, 53:5(323) (1998), 229–230; Russian Math. Surveys, 53:5 (1998), 1086–1088

Citation in format AMSBIB
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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. A. Vatutin, V. A. Topchii, “Limit theorem for critical catalytic branching random walks”, Theory Probab. Appl., 49:3 (2005), 498–518
2. Topchii V., Vatutin V., “Two-dimensional limit theorem for a critical catalytic branching random walk”, Mathematics and Computer Science III: Algorithms, Trees, Combinatorics and Probabilities, Trends in Mathematics, 2004, 387–395
3. Vladimir Vatutin*, Jie Xiong**, “Some Limit Theorems for a Particle System of Single Point Catalytic Branching Random Walks”, Acta Math Sinica, 23:6 (2007), 997
4. E. B. Yarovaya, “Models of branching walks and their use in the reliability theory”, Autom. Remote Control, 71:7 (2010), 1308–1324
5. E. B. Yarovaya, “Criterions of the exponential growth of particles for some models of branching random walks”, Theory Probab. Appl., 55:4 (2011), 661–682
6. Yarovaya E., “Critical and Subcritical Branching Symmetric Random Walks on d-Dimensional Lattices”, Advances in Data Analysis - Theory and Applications To Reliability and Inference, Data Mining, Bioinformatics, Lifetime Data, and Neural Networks, Statistics for Industry and Technology, 2010, 157–168
7. E. V. Bulinskaya, “Catalytic branching random walk on three-dimensional lattice”, Theory Stoch. Process., 16(32):2 (2010), 23–32
8. E. B. Yarovaya, “Supercritical Branching Random Walks with a Single Source”, Communications in Statistics - Theory and Methods, 40:16 (2011), 2926
9. V. A. Vatutin, V. A. Topchiǐ, “Catalytic branching random walks in $\mathbb Z^d$ with branching at the origin”, Siberian Adv. Math., 23:2 (2013), 125–153
10. Y. Hu, V. A. Topchii, V. A. Vatutin, “Branching Random Walk in $Z^{4}$ with Branching at the Origin Only”, Theory Probab. Appl, 56:2 (2012), 193
11. E. B. Yarovaya, “Spectral Properties of Evolutionary Operators in Branching Random Walk Models”, Math. Notes, 92:1 (2012), 115–131
12. L. Koralov, S. Molchanov, “Structure of Population Inside Propagating Front”, J Math Sci, 2013
13. Yarovaya E.B., “Branching Random Walks with Several Sources”, Math. Popul. Stud., 20:1 (2013), 14–26
14. Koralov L., “Branching Diffusion in Inhomogeneous Media”, Asymptotic Anal., 81:3-4 (2013), 357–377
15. E. B. Yarovaya, “Operators Satisfying the Schur Condition and their Applications to the Branching Random Walks”, Communications in Statistics - Theory and Methods, 43:7 (2014), 1523
16. Antonenko E., Yarovaya E., “On the Number of Positive Eigenvalues of the Evolutionary Operator of Branching Random Walk”, Branching Processes and Their Applications, Lecture Notes in Statistics, 219, eds. DelPuerto I., Gonzalez M., Gutierrez C., Martinez R., Minuesa C., Molina M., Mota M., Ramos A., Springer, 2016, 41–55
17. Yarovaya E., “Positive Discrete Spectrum of the Evolutionary Operator of Supercritical Branching Walks With Heavy Tails”, Methodol. Comput. Appl. Probab., 19:4 (2017), 1151–1167
18. Getan A., Molchanov S., Vainberg B., “Intermittency For Branching Walks With Heavy Tails”, Stoch. Dyn., 17:6 (2017), 1750044
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