Harry Kesten's work in probability theory

被引:0
作者
Grimmett, Geoffrey R. [1 ,2 ,3 ]
机构
[1] Univ Cambridge, Ctr Math Sci, Stat Lab, Wilberforce Rd, Cambridge CB3 0WB, England
[2] Univ Melbourne, Sch Math & Stat, Melbourne, Vic, Australia
[3] Univ Bristol, Heilbronn Inst Math Res, Bristol, Avon, England
关键词
Probability; Random walk; Branching process; Random matrix; Diffusion limited aggregation; Percolation; MINIMAL SPANNING-TREES; CRITICAL PERCOLATION; RANDOM-WALKS; LIPSCHITZ EMBEDDINGS; CONNECTIVE CONSTANT; LARGE DEVIATIONS; SCALING LIMITS; CONVERGENCE; ASYMPTOTICS; BEHAVIOR;
D O I
10.1007/s00440-021-01046-4
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
We survey the published work of Harry Kesten in probability theory, with emphasis on his contributions to random walks, branching processes, percolation, and related topics.
引用
收藏
页码:17 / 55
页数:39
相关论文
共 126 条
  • [1] LOWER BOUNDS ON THE CLUSTER SIZE DISTRIBUTION
    AIZENMAN, M
    DELYON, F
    SOUILLARD, B
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1980, 23 (03) : 267 - 280
  • [2] THE EXTINCTION OF FAMILIES
    ALBERTSEN, K
    [J]. INTERNATIONAL STATISTICAL REVIEW, 1995, 63 (02) : 234 - 239
  • [3] ASYMPTOTICS FOR EUCLIDEAN MINIMAL SPANNING-TREES ON RANDOM POINTS
    ALDOUS, D
    STEELE, JM
    [J]. PROBABILITY THEORY AND RELATED FIELDS, 1992, 92 (02) : 247 - 258
  • [4] THE WULFF CONSTRUCTION AND ASYMPTOTICS OF THE FINITE CLUSTER DISTRIBUTION FOR 2-DIMENSIONAL BERNOULLI PERCOLATION
    ALEXANDER, K
    CHAYES, JT
    CHAYES, L
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 131 (01) : 1 - 50
  • [5] ALEXANDER S, 1982, J PHYS LETT-PARIS, V43, pL625, DOI 10.1051/jphyslet:019820043017062500
  • [6] Invariance principle for the random conductance model
    Andres, S.
    Barlow, M. T.
    Deuschel, J. -D.
    Hambly, B. M.
    [J]. PROBABILITY THEORY AND RELATED FIELDS, 2013, 156 (3-4) : 535 - 580
  • [7] [Anonymous], 2006, WULFF CRYSTAL ISING
  • [8] [Anonymous], PROBABILITY GRAPHS
  • [9] The Erdos-Szusz-Turan distribution for equivariant processes
    Athreya, Jayadev S.
    Ghosh, Anish
    [J]. ENSEIGNEMENT MATHEMATIQUE, 2018, 64 (1-2): : 1 - 21
  • [10] Auffinger A., 2017, 50 YEARS 1 PASSAGE P