Geometric Aspects of Low Dimensional Dynamics
Geometric Aspects of Low Dimensional Dynamics
批准号:
1007266
负责人:
Mikhail Lyubich
金额:
$13.2万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2010
资助国家:
美国
项目状态:
已结题
起止时间:
2010-06-01 至 2015-05-31
中文摘要
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英文摘要
This research program focuses on several interconnected geometric themes of complex and real low-dimensional dynamics. It includes polynomial dynamics on the Riemann sphere and the interval, dynamics in the real and complex Henon family, dynamics in some special families of rational endomorphisms of projective space coming from statistical physics, and the geometry of associated Riemann surfaces and hyperbolic laminations. Most of these themes are unified by the idea of renormalization as a powerful tool for penetrating into the small-scale structure of dynamical objects, aimed towards a complete classification of these objects.The project will result in deeper insights into small-scale structure of dynamical systems, a subject that furnishes a key to the understanding of many of the most basic processes in nature, the fundamental objects of study in science and engineering. It will include the training of highly qualified graduate students and postdocs, who will apply their skills in diverse ways and venues: in academia and industry, in the creation broader interactions between experts in various branches of real and complex dynamics and statistical physics, and in promoting efficient communication within the field of dynamical systems.
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HOLOMORPHIC DYNAMICS AND RELATED THEMES
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批准号:2247613
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项目类别:Standard Grant
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资助金额:$36.94万
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财政年份:2023
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负责人:Mikhail Lyubich
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依托单位:
Themes in Holomorphic Low-Dimensional Dynamics
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批准号:1901357
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项目类别:Standard Grant
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资助金额:$31.0万
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财政年份:2019
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负责人:Mikhail Lyubich
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依托单位:
Analytic Low Dimensional Dynamics: From Dimension One to Two
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批准号:1600519
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项目类别:Continuing Grant
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资助金额:$22.5万
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财政年份:2016
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负责人:Mikhail Lyubich
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依托单位:
Complex and Real Low Dimensional Dynamics
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批准号:1301602
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项目类别:Continuing Grant
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资助金额:$43.5万
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财政年份:2013
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负责人:Mikhail Lyubich
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依托单位:
Dynamics, Spectral Theory and Arithmetic in Quantum Chaos
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批准号:1101596
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项目类别:Standard Grant
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资助金额:$9.6万
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财政年份:2011
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负责人:Mikhail Lyubich
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依托单位:
Program in Holomorphic Dynamics, Laminations and Hyperbolic Geometry
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批准号:0555429
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项目类别:Standard Grant
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资助金额:$4.5万
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财政年份:2006
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负责人:Mikhail Lyubich
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依托单位:
Geometric Structures in Holomorphic Dynamics and Teichmuller Theory
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批准号:0505652
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项目类别:Standard Grant
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资助金额:$0.0万
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财政年份:2005
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负责人:Mikhail Lyubich
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依托单位:
International Conference in Geometry and Dynamical Systems, January 2003 - Cuernavaca, Mexico
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批准号:0224996
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项目类别:Standard Grant
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资助金额:$1.92万
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财政年份:2002
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负责人:Mikhail Lyubich
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依托单位:
Research in Dynamical Systems
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批准号:0103646
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项目类别:Continuing Grant
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资助金额:$19.63万
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财政年份:2001
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负责人:Mikhail Lyubich
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依托单位:
Graphs and Patterns in Mathematics and Theoretical Physics
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批准号:0107455
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项目类别:Standard Grant
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资助金额:$7.0万
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财政年份:2001
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负责人:Mikhail Lyubich
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依托单位:
Conference "Around Dynamics"
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批准号:0110251
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项目类别:Standard Grant
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资助金额:$1.26万
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财政年份:2001
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负责人:Mikhail Lyubich
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依托单位:
国内基金
海外基金
基于构件软件的面向可靠安全Aspects建模和一体化开发方法研究
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批准号:60503032
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项目类别:青年科学基金项目
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资助金额:23.0万元
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批准年份:2005
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负责人:毛晓光
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依托单位: