On the local times of transient random walks

被引:3
|
作者
Csaki, Endre
Foeldes, Antonia
Revesz, Pal
机构
[1] Hungarian Acad Sci, Alfred Renyi Inst Math, H-1364 Budapest, Hungary
[2] CUNY Coll Staten Isl, Dept Math, Staten Isl, NY 10314 USA
[3] Vienna Univ Technol, Inst Stat & Wahrscheinlichkeitstheorie, A-1040 Vienna, Austria
关键词
transient random walk; local time; occupation time; strong theorems;
D O I
10.1007/s10440-007-9113-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the properties of the local and occupation times of certain transient random walks. First, our recent results concerning simple symmetric random walk in higher dimension are surveyed, then we start to establish similar results for simple asymmetric random walk on the line.
引用
收藏
页码:147 / 158
页数:12
相关论文
共 50 条
  • [31] On random walks on wreath products
    Pittet, C
    Saloff-Coste, L
    ANNALS OF PROBABILITY, 2002, 30 (02): : 948 - 977
  • [32] Transient Nearest Neighbor Random Walk and Bessel Process
    Endre Csáki
    Antónia Földes
    Pál Révész
    Journal of Theoretical Probability, 2009, 22 : 992 - 1009
  • [33] Transient Nearest Neighbor Random Walk and Bessel Process
    Csaki, Endre
    Foeldes, Antonia
    Revesz, Pal
    JOURNAL OF THEORETICAL PROBABILITY, 2009, 22 (04) : 992 - 1009
  • [34] Frequently visited sets for random walks
    Csáki, E
    Földes, A
    Révész, P
    Rosen, J
    Shi, Z
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2005, 115 (09) : 1503 - 1517
  • [35] Patterns in Random Walks and Brownian Motion
    Pitman, Jim
    Tang, Wenpin
    IN MEMORIAM MARC YOR - SEMINAIRE DE PROBABILITES XLVII, 2015, 2137 : 49 - 88
  • [36] Record Statistics of Integrated Random Walks and the Random Acceleration Process
    Godreche, Claude
    Luck, Jean-Marc
    JOURNAL OF STATISTICAL PHYSICS, 2022, 186 (01)
  • [37] Limit theorems for additive functionals of random walks in random scenery
    Pene, Francoise
    ELECTRONIC JOURNAL OF PROBABILITY, 2021, 26
  • [38] Quenched central limit theorems for random walks in random scenery
    Guillotin-Plantard, Nadine
    Poisat, Julien
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2013, 123 (04) : 1348 - 1367
  • [39] Degrees of transience and recurrence and hierarchical random walks
    Dawson, DA
    Gorostiza, LG
    Wakolbinger, A
    POTENTIAL ANALYSIS, 2005, 22 (04) : 305 - 350
  • [40] SMALL DRIFT LIMIT THEOREMS FOR RANDOM WALKS
    Schulte-Geers, Ernst
    Stadje, Wolfgang
    JOURNAL OF APPLIED PROBABILITY, 2017, 54 (01) : 199 - 212