Capacity of the range of random walks on groups

被引：1
作者：
Mrazovic, Rudi [1 ]
Sandric, Nikola [1 ]
Sebek, Stjepan [2 ]
机构：
[1] Univ Zagreb, Dept Math, Zagreb, Croatia
[2] Univ Zagreb, Fac Elect Engn & Comp, Dept Appl Math, Zagreb, Croatia
来源：
KYOTO JOURNAL OF MATHEMATICS | 2023年 / 63卷 / 04期
关键词：
ITERATED LOGARITHM; POLYNOMIAL-GROWTH; TRANSIENT; ENTROPY;
D O I：
10.1215/21562261-2023-0003
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we discuss the asymptotic behavior of the capacity of the range of symmetric random walks on finitely generated groups. We show the corresponding strong law of large numbers and central limit theorem.
引用
收藏
页码：783 / 805
页数：23
相关论文
共 33 条
  • [1] CAPACITY OF THE RANGE OF RANDOM WALK ON Z4
    Asselah, Amine
    Schapira, Bruno
    Sousi, Perla
    [J]. ANNALS OF PROBABILITY, 2019, 47 (03) : 1447 - 1497
  • [2] CAPACITY OF THE RANGE OF RANDOM WALK ON Zd
    Asselah, Amine
    Schapira, Bruno
    Sousi, Perla
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (11) : 7627 - 7645
  • [3] Barlow MT., 2017, RANDOM WALKS HEAT KE, DOI DOI 10.1017/9781107415690
  • [4] BASS H, 1972, P LOND MATH SOC, V25, P603
  • [5] Bass RF, 2002, ANN PROBAB, V30, P1369
  • [6] On the range of the simple random walk bridge on groups
    Benjamini, Itai
    Izkovsky, Roey
    Kesten, Harry
    [J]. ELECTRONIC JOURNAL OF PROBABILITY, 2007, 12 : 591 - 612
  • [7] Two observations on the capacity of the range of simple random walks on Z3 and Z4
    Chang, Yinshan
    [J]. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2017, 22
  • [8] Asymptotic entropy of the ranges of random walks on discrete groups
    Chen, Xinxing
    Xie, Jiansheng
    Zhao, Minzhi
    [J]. SCIENCE CHINA-MATHEMATICS, 2020, 63 (06) : 1153 - 1168
  • [9] Cygan W, 2021, Arxiv, DOI arXiv:1904.05695
  • [10] Functional CLT for the Range of Stable Random Walks
    Cygan, Wojciech
    Sandric, Nikola
    Sebek, Stjepan
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (03) : 1371 - 1386
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