Mathematical Sciences: Interacting Particle Systems and Random Cellular Automata
Mathematical Sciences: Interacting Particle Systems and Random Cellular Automata
批准号:
9300612
负责人:
David Griffeath
金额:
$18.0万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1993
资助国家:
美国
项目状态:
已结题
起止时间:
1993-05-15 至 1996-04-30
中文摘要
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英文摘要
Professors Bramson and Griffeath propose to further the rigorous theory of various random and deterministic complex systems in the area of interacting particle systems and random cellular automata. These include systems of annihilating random walks and billiards, random and deterministic growth models, and random and deterministic interface dynamics. The methodology for studying these processes often combines traditional rigorous mathematical analysis with interactive computer visualization. Professors Bramson and Griffeath study random processes known as interacting particle systems and random cellular automata. These are "toy universe" models that evolve over time, e.g. on a computer graphics display, offering insights into the behavior of complex dynamics from many areas of applied science. The investigators have two main objectives: to understand the kinds of aggregate behavior that such dynamics manifest, and to explain how these behaviors arise by using the traditional analytical techniques, theorems and proofs of mathematics. The phenomena they study include such fundamental physical processes as contagion, clustering, turbulence, and nucleation.
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Rigorous Results for Self-Organizing Complex Systems
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批准号:0204018
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项目类别:Continuing Grant
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资助金额:$14.65万
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财政年份:2002
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负责人:David Griffeath
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依托单位:
Theory and Applications of Random Cellular Automata and Related Models
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批准号:9971543
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项目类别:Standard Grant
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资助金额:$8.4万
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财政年份:1999
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负责人:David Griffeath
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依托单位:
Workshop on Constructive Methods in Cellular Automata Theory
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批准号:9802556
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项目类别:Standard Grant
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资助金额:$1.2万
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财政年份:1998
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负责人:David Griffeath
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依托单位:
Rigorous and Empirical Analysis of Random Cellular Automata
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批准号:9626152
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项目类别:Continuing Grant
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资助金额:$12.9万
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财政年份:1996
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负责人:David Griffeath
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依托单位:
The CAM-8 as an Ecomachine
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批准号:9417439
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项目类别:Standard Grant
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资助金额:$5.0万
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财政年份:1994
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负责人:David Griffeath
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依托单位:
Interactive Visualization of Self-Organizing Cellular Automata
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批准号:9212699
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项目类别:Standard Grant
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资助金额:$2.25万
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财政年份:1992
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负责人:David Griffeath
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依托单位:
Mathematical Sciences Research Equipment 1990
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批准号:9004628
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项目类别:Standard Grant
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资助金额:$3.0万
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财政年份:1990
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负责人:David Griffeath
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依托单位:
Mathematical Sciences: Interacting Particle Systems and Random Cellular Automata
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批准号:8922876
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项目类别:Continuing Grant
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资助金额:$18.84万
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财政年份:1990
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负责人:David Griffeath
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依托单位:
Mathematical Sciences: Infinite Particle Systems and RelatedModels
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批准号:8700831
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项目类别:Continuing Grant
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资助金额:$13.56万
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财政年份:1987
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负责人:David Griffeath
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依托单位:
Mathematical Sciences: Infinite Particle Systems and RelatedModels
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批准号:8320549
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项目类别:Continuing Grant
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资助金额:$5.12万
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财政年份:1984
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负责人:David Griffeath
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依托单位:
Interacting Particle Systems and Percolation Processes
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批准号:8100256
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项目类别:Continuing Grant
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资助金额:$3.22万
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财政年份:1981
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负责人:David Griffeath
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依托单位:
国内基金
海外基金
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