Conditions of supercriticality for branching walks in a random killing environment with a single reproduction centre

Authors: Kutsenko V.A.¹, Molchanov S.A.², Yarovaya E.B.¹
Affiliations:
1. Steklov Mathematical Institute of Russian Academy of Sciences
2. Institute for Statistical Studies and Economics of Knowledge, National Research University "Higher School of Economics"
Issue: Vol 78, No 5 (2023)
Pages: 181-182
Section: Articles
URL: https://journals.rcsi.science/0042-1316/article/view/140495
DOI: https://doi.org/10.4213/rm10147
ID: 140495

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Steklov Mathematical Institute of Russian Academy of Sciences

Email: vlakutsenko@ya.ru
without scientific degree, no status

Institute for Statistical Studies and Economics of Knowledge, National Research University "Higher School of Economics"

Email: smolchan@uncc.edu
Doctor of physico-mathematical sciences, Professor

Steklov Mathematical Institute of Russian Academy of Sciences

Email: yarovaya@mech.math.msu.su
Doctor of physico-mathematical sciences, Associate professor

J. Gärtner, S. A. Molchanov, Comm. Math. Phys., 132:3 (1990), 613–655
S. Albeverio, L. V. Bogachev, S. A. Molchanov, E. B. Yarovaya, Markov Process. Related Fields, 6:4 (2000), 473–516
Е. Б. Яровая, Ветвящиеся случайные блуждания в неоднородной среде, Центр прикл. исслед. при мех.-матем. ф-те МГУ, М., 2007, 104 с.
F. den Hollander, S. A. Molchanov, O. Zeitouni, Random media at Saint-Flour, Probab. St.-Flour, Springer, Heidelberg, 2012, vi+564 pp.

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