On the ergodic properties of certain additive cellular automata over Zm

被引:0
|
作者
Akin, H [1 ]
机构
[1] Harran Univ, Dept Math, Arts & Sci Fac, TR-6300 Sanliurfa, Turkey
关键词
cellular automata; ergodicity; weak-mixing; strong mixing;
D O I
10.1016/j.amc.2004.08.049
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate some ergodic properties of Z(2)-actions T-p,T-n generated by an additive cellular automata and shift acting on the space of all doubly-infinitive sequences taking values in Z(m). (c) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:192 / 197
页数:6
相关论文
共 50 条
  • [1] On ergodic linear cellular automata over Zm
    Cattaneo, G
    Formenti, E
    Manzini, G
    Margara, L
    [J]. STACS 97 - 14TH ANNUAL SYMPOSIUM ON THEORETICAL ASPECTS OF COMPUTER SCIENCE, 1997, 1200 : 427 - 438
  • [2] ERGODIC PROPERTIES OF CERTAIN SURJECTIVE CELLULAR AUTOMATA
    SHERESHEVSKY, MA
    [J]. MONATSHEFTE FUR MATHEMATIK, 1992, 114 (3-4): : 305 - 316
  • [3] LINEAR CELLULAR AUTOMATA OVER ZM
    ITO, M
    OSATO, N
    NASU, M
    [J]. JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 1983, 27 (01) : 125 - 140
  • [4] Complexity of linear cellular automata over Zm
    Jin, XG
    Wang, WH
    [J]. ADVANCES IN NATURAL COMPUTATION, PT 1, PROCEEDINGS, 2005, 3610 : 1209 - 1213
  • [5] Surjective linear cellular automata over Zm
    Sato, T
    [J]. INFORMATION PROCESSING LETTERS, 1998, 66 (02) : 101 - 104
  • [6] Ergodic characterization of linear cellular automats over Zm
    Sato, T
    [J]. THEORETICAL COMPUTER SCIENCE, 1998, 205 (1-2) : 135 - 144
  • [7] Characterization of Three Dimensional Cellular Automata over Zm
    Sah, Ferhat
    Siap, Irfan
    Akin, Hasan
    [J]. FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2012), 2012, 1470 : 138 - 141
  • [8] Ergodicity, transitivity, and regularity for linear cellular automata over Zm
    Cattaneo, G
    Formenti, E
    Manzini, G
    Margara, L
    [J]. THEORETICAL COMPUTER SCIENCE, 2000, 233 (1-2) : 147 - 164
  • [9] Dynamical Properties of Additive Cellular Automata over Finite Abelian Groups
    邓爱平
    王枫杰
    伍陈晨
    [J]. Journal of Donghua University(English Edition), 2023, 40 (01) : 116 - 121
  • [10] Invertible linear cellular automata over Zm:: Algorithmic and dynamical aspects
    Manzini, G
    Margara, L
    [J]. JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 1998, 56 (01) : 60 - 67