On a random walk model on sets with self-similar structure

被引：0
|
作者：
N. S. Arkashov
V. A. Seleznev
机构：
[1] Novosibirsk State Technical University,
[2] Novosibirsk State University,undefined
来源：
Siberian Mathematical Journal | 2013年 / 54卷
关键词：
self-similar sets; random walk; anomalous transport; diffusion; Hausdorff measure; Hausdorff dimension;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct a random walk model on sets with self-similar structure parametrized by a real line. The model in particular explains the arising nonlinearity with respect to the mean square time in the so-called anomalous transports.
引用
收藏
页码：968 / 983
页数：15
相关论文
共 50 条
  • [21] Self-similar structure on intersections of triadic Cantor sets
    Deng, Guo-Tai
    He, Xing-Gang
    Wen, Zhi-Xiong
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (01) : 617 - 631
  • [22] Self-similar structure shell model
    Kao Neng Wu Li Yu Ho Wu Li, 4 (333-340):
  • [23] Self-similar structure shell model
    Wang, ZD
    Zhang, XD
    Wang, XC
    Wang, XB
    HIGH ENERGY PHYSICS AND NUCLEAR PHYSICS-CHINESE EDITION, 1998, 22 (04): : 333 - 340
  • [24] Arithmetic on self-similar sets
    Zhao, Bing
    Ren, Xiaomin
    Zhu, Jiali
    Jiang, Kan
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2020, 31 (04): : 595 - 606
  • [25] The dimensions of self-similar sets
    Li, WX
    Xiao, DM
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1998, 50 (04) : 789 - 799
  • [26] Irrational self-similar sets
    Jia, Qi
    Li, Yuanyuan
    Jiang, Kan
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2022, 100 (3-4): : 461 - 472
  • [27] Computability of self-similar sets
    Kamo, H
    Kawamura, K
    MATHEMATICAL LOGIC QUARTERLY, 1999, 45 (01) : 23 - 30
  • [28] Gauges for the self-similar sets
    Wen, Sheng-You
    Wen, Zhi-Xiong
    Wen, Zhi-Ying
    MATHEMATISCHE NACHRICHTEN, 2008, 281 (08) : 1205 - 1214
  • [29] Sliding of self-similar sets
    Xi, Li-feng
    Ruan, Huo-jun
    Guo, Qiu-li
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2007, 50 (03): : 351 - 360
  • [30] Sliding of self-similar sets
    Li-feng XI
    Huo-jun Ruan
    Qiu-li Guo
    Science in China Series A: Mathematics, 2007, 50 : 351 - 360
12345