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
  • [31] On continuous images of self-similar sets
    Li, Yuanyuan
    Fan, Jiaqi
    Gu, Jiangwen
    Zhao, Bing
    Jiang, Kan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 491 (02)
  • [32] Trigonometric series and self-similar sets
    Li, Jialun
    Sahlsten, Tuomas
    JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2022, 24 (01) : 341 - 368
  • [33] A NOTE ON HAUSDORFF MEASURES OF SELF-SIMILAR SETS IN Rd
    Ma, Cai-Yun
    Wu, Yu-Feng
    ANNALES FENNICI MATHEMATICI, 2021, 46 (02): : 957 - 963
  • [34] Hausdorff dimension of the arithmetic sum of self-similar sets
    Jiang, Kan
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2016, 27 (03): : 684 - 701
  • [35] Lipschitz equivalence of self-similar sets with touching structures
    Ruan, Huo-Jun
    Wang, Yang
    Xi, Li-Feng
    NONLINEARITY, 2014, 27 (06) : 1299 - 1321
  • [36] RESONANCE BETWEEN SELF-SIMILAR SETS AND THEIR UNIVOQUE SETS
    Chen, Chen
    Ma, Ying
    Lei, Lei
    Gareeb, Mohammad
    Jiang, Kan
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (05)
  • [37] Assouad dimension and local structure of self-similar sets with overlaps in Rd
    Garcia, Ignacio
    ADVANCES IN MATHEMATICS, 2020, 370
  • [38] Self-similar and Self-affine Sets and Measures
    Falconer, Kenneth j.
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 2025, 62 (01) : 167 - 174
  • [39] Projections of self-similar sets with no separation condition
    Farkas, Abel
    ISRAEL JOURNAL OF MATHEMATICS, 2016, 214 (01) : 67 - 107
  • [40] Hausdorff dimension of self-similar sets with overlaps
    Deng QiRong
    Harding, John
    Hu TianYou
    SCIENCE IN CHINA SERIES A-MATHEMATICS, 2009, 52 (01): : 119 - 128