THE QUENCHED CENTRAL LIMIT THEOREM FOR A MODEL OF RANDOM WALK IN RANDOM ENVIRONMENT

被引:0
|
作者
Bezborodov, Viktor [1 ]
Di Persio, Luca [1 ]
机构
[1] Univ Verona, Dept Comp Sci, Verona, Italy
来源
关键词
Random walk in random environment; quenched central limit theorem; multidimensional martingale central limit theorem;
D O I
10.31392/MFAT-npu26_4.2020.02
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper we provide a proof of the quenched central limit theorem for the random walk in random environment model introduced by Boldrighini, Minlos, and Pellegrinotti in [3].
引用
收藏
页码:311 / 316
页数:6
相关论文
共 50 条
  • [31] Conditional central limit theorem for subcritical branching random walk
    Hong, Wenming
    Yao, Dan
    ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS, 2023, 20 (02): : 1411 - 1432
  • [32] Central limit theorem and related results for the elephant random walk
    Coletti, Cristian F.
    Gava, Renato
    Schuetz, Gunter M.
    JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (05)
  • [33] A central limit theorem for the simple random walk on a crystal lattice
    Kotani, M
    Sunada, T
    PROCEEDINGS OF THE SECOND ISAAC CONGRESS, VOLS 1 AND 2, 2000, 7 : 1 - 6
  • [34] A Central Limit Theorem for the Mean Starting Hitting Time for a Random Walk on a Random Graph
    Loewe, Matthias
    Terveer, Sara
    JOURNAL OF THEORETICAL PROBABILITY, 2023, 36 (02) : 779 - 810
  • [35] Rates of Convergence in the Central Limit Theorem for the Elephant Random Walk with Random Step Sizes
    Jérôme Dedecker
    Xiequan Fan
    Haijuan Hu
    Florence Merlevède
    Journal of Statistical Physics, 190
  • [36] A Central Limit Theorem for the Mean Starting Hitting Time for a Random Walk on a Random Graph
    Matthias Löwe
    Sara Terveer
    Journal of Theoretical Probability, 2023, 36 : 779 - 810
  • [37] Rates of Convergence in the Central Limit Theorem for the Elephant Random Walk with Random Step Sizes
    Dedecker, Jerome
    Fan, Xiequan
    Hu, Haijuan
    Merlevede, Florence
    JOURNAL OF STATISTICAL PHYSICS, 2023, 190 (10)
  • [38] CENTRAL-LIMIT-THEOREM FOR A RANDOM-WALK WITH RANDOM OBSTACLES IN R(D)
    TANEMURA, H
    ANNALS OF PROBABILITY, 1993, 21 (02): : 936 - 960
  • [39] Quenched moderate deviations principle for random walk in random environment
    WenMing Hong
    HuaMing Wang
    Science China Mathematics, 2010, 53 : 1947 - 1956
  • [40] Quenched moderate deviations principle for random walk in random environment
    Hong WenMing
    Wang HuaMing
    SCIENCE CHINA-MATHEMATICS, 2010, 53 (08) : 1947 - 1956