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Mathematical Sciences: CBMS Regional Conference in Mathema-tical Sciences on Topological and Probablistic Aspects of Single Orbit Orbit Dynamics: Bakersfield, CA 06/18-22/95

Mathematical Sciences: CBMS Regional Conference in Mathema-tical Sciences on Topological and Probablistic Aspects of Single Orbit Orbit Dynamics: Bakersfield, CA 06/18-22/95
数学科学:CBMS 单轨道动力学拓扑和概率方面数学科学区域会议:贝克斯菲尔德,加利福尼亚州 06/18-22/95
批准号:
9414535
负责人:
Kamel Haddad
金额:
$0.0万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1995
资助国家:
美国
项目状态:
已结题
起止时间:
1995-01-01 至 1995-12-31

项目摘要

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中文摘要
翻译
9414535 Haddad动力系统作为一门数学学科,研究一个群(或更一般的半群)G作用在集合X上的问题,它被细分为三个不同但相互作用的组成部分:拓扑动力学,当X是拓扑空间,G连续作用在X上;遍历理论或可测动力学,当X是度量空间,G作用在X上;和光滑动力学,当X是一个流形,G对X有不同的作用。这个CBMS会议将于1995年6月18日至6月23日在加利福尼亚州贝克斯菲尔德举行,主题为“单轨动力学的拓扑和概率方面”,主要发言者是耶路撒冷希伯来大学的本杰明·韦斯教授。上一次讨论同一一般主题的建立信任措施会议是1990年在北达科他州法戈举行的,由希勒尔·弗斯滕伯格教授主持。不用说,从那时起,动力系统的新发展已经演变,这使得召开新会议的时机是合适的。会议的目的是将演讲者对“单轨动力学”的新方法介绍到动力系统的研究中,并解释它如何与文献中发展的遍历理论和拓扑动力学中的各种积分概念相联系,从而引导该领域的新方法和结果。
英文摘要
9414535 Haddad Dynamical Systems as a mathematical subject deals with the study of a group(or more generally a semigroup)G acting on a set X, and is subdivided into 3 distinct but interacting components: topological dynamics, when X is a topological space and G acts continuously on X; ergodic theory or measurable dynamic, when X is a measure space and G acts measurably on X; and smooth dynamics, when X is a manifold and G acts differentiably on X This CBMS conference, to be held from June 18 to June 23, 1995 in Bakersfield, California, on the campus of The California State University, entitled "TOPOLOGICAL AND PROBABILISTIC ASPECTS OF SINGLE ORBIT DYNAMICS," with main speaker Professor Benjamin Weiss of the Hebrew University in Jerusalem. The last CBMS conference dealing with the same general subject was given by Professor Hillel Furstenberg in Fargo North Dakota in 1990. Needless to say, new developments in dynamical systems have evolved since then, making the timing for a new conference appropriate. The goal of the conference is to introduce the speaker's new approach to "single orbit dynamics" to the study of dynamical systems and to explain how it relates to the various integral notions in ergodic theory and topological dynamics developed in the literature, thus leading the way to new approaches and results in the area.
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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