STABLE HYDRODYNAMIC LIMIT FLUCTUATIONS OF A CRITICAL BRANCHING PARTICLE SYSTEM IN A RANDOM MEDIUM

被引:29
|
作者
DAWSON, DA
FLEISCHMANN, K
GOROSTIZA, LG
机构
[1] CTR INVEST & ESTUDIOS AVANZADOS,DEPT MATH,AP 14740,MEXICO CITY 07000,DF,MEXICO
[2] ACAD SCI GDR,KARL WEIERSTR INST MATH,DDR-1086 BERLIN,GER DEM REP
来源
ANNALS OF PROBABILITY | 1989年 / 17卷 / 03期
关键词
D O I
10.1214/aop/1176991258
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
引用
收藏
页码:1083 / 1117
页数:35
相关论文
共 50 条
  • [11] Occupation time fluctuations of an age-dependent critical binary branching particle system
    Lopez-Mimbela, J. A.
    Murillo-Salas, A.
    Ramirez-Gonzalez, J. H.
    ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2024, 21 : 593 - 625
  • [12] Limit Theorems for Local Particle Numbers in Branching Random Walk
    Bulinskaya, E. Vl
    DOKLADY MATHEMATICS, 2012, 85 (03) : 403 - 405
  • [13] Limit theorems for local particle numbers in branching random walk
    E. Vl. Bulinskaya
    Doklady Mathematics, 2012, 85 : 403 - 405
  • [14] Conditional central limit theorem for critical branching random walk
    Hong, Wenming
    Liang, Shengli
    ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2024, 21 : 555 - 574
  • [15] A functional limit theorem for a critical branching process in a random environment
    Afanasyev, V.I., 2001, Walter de Gruyter GmbH and Co. KG, Genthiner Strasse 13, Berlin, D-10785, Germany (11):
  • [16] Hydrodynamic limit fluctuations of super-Brownian motion with a stable catalyst
    Fleischmann, Klaus
    Moerters, Peter
    Wachtel, Vitali
    ELECTRONIC JOURNAL OF PROBABILITY, 2006, 11 : 723 - 767
  • [17] Hydrodynamic limit for a particle system with degenerate rates
    Goncalves, P.
    Landim, C.
    Toninelli, C.
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2009, 45 (04): : 887 - 909
  • [18] Hydrodynamic limit in a particle system with topological interactions
    Carinci G.
    De Masi A.
    Giardinà C.
    Presutti E.
    Arabian Journal of Mathematics, 2014, 3 (4) : 381 - 417
  • [19] SCALING LIMIT OF THE PATH LEADING TO THE LEFTMOST PARTICLE IN A BRANCHING RANDOM WALK
    Chen, X.
    THEORY OF PROBABILITY AND ITS APPLICATIONS, 2015, 59 (04) : 567 - 589
  • [20] Limit theorem for multitype critical branching process evolving in random environment
    Dyakonova, Elena E.
    DISCRETE MATHEMATICS AND APPLICATIONS, 2015, 25 (03): : 137 - 147