Stability and Instability of Steady States for a Branching Random Walk

被引:0
|
作者
Yaqin Feng
Stanislav Molchanov
Elena Yarovaya
机构
[1] Ohio University,Department of Mathematics
[2] University of North Carolina at Charlotte,Department of Mathematics and Statistics
[3] Higher School of Economics,National Research University
[4] Lomonosov Moscow State University,Department of Probability Theory, Faculty of Mathematics and Mechanics
关键词
Branching random walk; Local perturbation; Steady state; Limit theorems; 60J80; 60J35; 60G32;
D O I
暂无
中图分类号
学科分类号
摘要
We consider the time evolution of a lattice branching random walk with local perturbations. Under certain conditions, we prove the Carleman type estimation for the moments of a particle subpopulation number and show the existence of a steady state.
引用
收藏
页码:207 / 218
页数:11
相关论文
共 50 条
  • [1] Stability and Instability of Steady States for a Branching Random Walk
    Feng, Yaqin
    Molchanov, Stanislav
    Yarovaya, Elena
    METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY, 2021, 23 (01) : 207 - 218
  • [2] Random walk on barely supercritical branching random walk
    van der Hofstad, Remco
    Hulshof, Tim
    Nagel, Jan
    PROBABILITY THEORY AND RELATED FIELDS, 2020, 177 (1-2) : 1 - 53
  • [3] Random walk on barely supercritical branching random walk
    Remco van der Hofstad
    Tim Hulshof
    Jan Nagel
    Probability Theory and Related Fields, 2020, 177 : 1 - 53
  • [4] STABILITY AND INSTABILITY OF LOCAL TIME OF RANDOM-WALK IN RANDOM ENVIRONMENT
    CSORGO, M
    HORVATH, L
    REVESZ, P
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1987, 25 (02) : 185 - 202
  • [5] Branching random walk with a critical branching part
    Kesten, H
    JOURNAL OF THEORETICAL PROBABILITY, 1995, 8 (04) : 921 - 962
  • [6] On the moments of a branching random walk in a random medium
    Bogachev, LV
    Yarovaya, EB
    RUSSIAN MATHEMATICAL SURVEYS, 2000, 55 (05) : 989 - 991
  • [7] A random walk with a branching system in random environments
    Ying-qiu Li
    Xu Li
    Quan-sheng Liu
    Science in China Series A: Mathematics, 2007, 50 : 698 - 704
  • [8] A random walk with a branching system in random environments
    Li, Ying-qiu
    Li, Xu
    Li, Quan-sheng
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 50 (05): : 698 - 704
  • [9] A random walk with a branching system in random environments
    Ying-qiu LI
    LMAM
    ScienceinChina(SeriesA:Mathematics), 2007, (05) : 698 - 704
  • [10] Branching random walk in random environment on trees
    Machado, FP
    Popov, SY
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2003, 106 (01) : 95 - 106