Random self-similar series over a rotation

被引：0
|
作者：
Bremont, Julien [1 ,2 ]
机构：
[1] Univ Paris Est Creteil, CNRS, LAMA, F-94010 Creteil, France
[2] Univ Gustave Eiffel, LAMA, F-77447 Marne La Vallee, France
来源：
STOCHASTICS AND DYNAMICS | 2024年 / 24卷 / 05期
关键词：
Self-similar measure; Rajchman measure; irrational rotation on the torus;
D O I：
10.1142/S0219493724500333
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We study the law of random self-similar series defined above an irrational rotation on the Circle. This provides a natural class of continuous singular non-Rajchman measures.
引用
收藏
页数：12
相关论文
共 50 条
  • [31] Lacunarity of self-similar and stochastically self-similar sets
    Gatzouras, D
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 352 (05) : 1953 - 1983
  • [32] Self-similar random field models in discrete space
    Lee, S
    Rao, RM
    IEEE TRANSACTIONS ON IMAGE PROCESSING, 2006, 15 (01) : 160 - 168
  • [33] Anomalous diffusion in a self-similar random advection field
    Dykhne, AM
    Dranikov, IL
    Kondratenko, PS
    Matveev, LV
    PHYSICAL REVIEW E, 2005, 72 (06):
  • [34] INEQUALITIES FOR SELF-SIMILAR PROCESSES STOPPED AT A RANDOM TIME
    SONG, S
    YOR, M
    LECTURE NOTES IN MATHEMATICS, 1987, 1247 : 230 - 245
  • [35] Drift in a random walk along self-similar clusters
    Arkhincheev, VE
    JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 1999, 88 (03) : 561 - 564
  • [36] Random Self-Similar Trees: Emergence of Scaling Laws
    Kovchegov, Yevgeniy
    Zaliapin, Ilya
    Foufoula-Georgiou, Efi
    SURVEYS IN GEOPHYSICS, 2022, 43 (02) : 353 - 421
  • [37] Random Self-Similar Trees: Emergence of Scaling Laws
    Yevgeniy Kovchegov
    Ilya Zaliapin
    Efi Foufoula-Georgiou
    Surveys in Geophysics, 2022, 43 : 353 - 421
  • [38] Random self-similar trees and a hierarchical branching process
    Kovchegov, Yevgeniy
    Zaliapin, Ilya
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2019, 129 (07) : 2528 - 2560
  • [39] Governing stochastic equation for a self-similar random process
    Koverda, V. P.
    Skokov, V. N.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2023, 628
  • [40] Variable step random walks and self-similar distributions
    Gunaratne, GH
    McCauley, JL
    Nicol, M
    Török, A
    JOURNAL OF STATISTICAL PHYSICS, 2005, 121 (5-6) : 887 - 899
12345