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Mathematical Sciences: Stable Classification and Automorphisms of Shift Dynamical Systems

Mathematical Sciences: Stable Classification and Automorphisms of Shift Dynamical Systems
数学科学:平移动力系统的稳定分类和自同构
批准号:
8820801
负责人:
K. Kim
金额:
$7.45万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1989
资助国家:
美国
项目状态:
已结题
起止时间:
1989-09-01 至 1992-02-29

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中文摘要
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英文摘要
This award will support the mathematical research of Professors Kim and Roush in a branch of ergodic theory called symbolic dynamics. A symbolic dynamical system is a collection of two-way infinite strings of symbols from a finite alphabet satisfying a formation rule that specifies which symbols are allowed to follow which as one moves along the string. Two such systems are equivalent if there is a well-behaved bijection between them that respects the operation of shifting. A central theme in this area is the classification of symbolic dynamical systems with respect to various forms of equivalence. Symbolic dynamical systems have recently found widespread application in the modeling of data transmission. The principal investigators will study strong shift equivalence over the positive integers, over the rationals, and over general rings, and strong sofic shift equivalence over the rationals. They will also consider automorphisms of shift dynamical systems, in particular periodic points, enumeration of automorphisms, and subgroups of the automorphism group.
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Classification and Invariants of Subshifts
  • 批准号:
    9900265
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $13.07万
  • 财政年份:
    1999
  • 负责人:
    K. Kim
  • 依托单位:
Mathematical Sciences: RUI - Irreducible Case of Williams Conjecture
  • 批准号:
    9405004
  • 项目类别:
    Standard Grant
  • 资助金额:
    $5.59万
  • 财政年份:
    1994
  • 负责人:
    K. Kim
  • 依托单位:
Mathematical Sciences: Classification and Automorphisms of Subshifts of Finite Type
  • 批准号:
    9024813
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $7.3万
  • 财政年份:
    1991
  • 负责人:
    K. Kim
  • 依托单位:
Minority Mathematical Research and Resource Center
  • 批准号:
    8713695
  • 项目类别:
    Standard Grant
  • 资助金额:
    $4.04万
  • 财政年份:
    1987
  • 负责人:
    K. Kim
  • 依托单位:
国内基金
海外基金
Handbook of the Mathematics of the Arts and Sciences的中文翻译
  • 批准号:
    12226504
  • 项目类别:
    数学天元基金项目
  • 资助金额:
    20.0万元
  • 批准年份:
    2022
  • 负责人:
    黄朝凌
  • 依托单位:
SCIENCE CHINA: Earth Sciences
Journal of Environmental Sciences
SCIENCE CHINA Information Sciences