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Mathematical Sciences: Isoperimetric Inequalities and LowerBounds for Stochastic Processes

Mathematical Sciences: Isoperimetric Inequalities and LowerBounds for Stochastic Processes
数学科学:随机过程的等周不等式和下界
批准号:
9101452
负责人:
Michel Talagrand
金额:
$0.0万
依托单位国家:
美国
项目类别:
Continuing grant
财政年份:
1991
资助国家:
美国
项目状态:
已结题
起止时间:
1991-06-01 至 1995-02-28

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项目成果

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中文摘要
翻译
塔拉格兰德教授的研究将在三个主要领域进行。他将研究Bernoulli过程的下界,以期证明一个涉及结合两个Banach空间几何的范数的猜想。他将继续他在等周不平等方面的研究。他将研究Banach空间中的类型和余型的概念。这项研究涉及两个领域:概率论和无限维空间(Banach空间)的几何。概率论的思想对理解Banach空间很有用,反过来,对这些空间的理解又引出了一些新的、有趣的纯概率问题。
英文摘要
Professor Talagrand's research will be in three main areas. He will study lower bounds for Bernoulli processes with a view to proving a conjecture involving a norm incorporating the geometry of two Banach spaces. He will continue his research in isoperimetric inequalities. He will study the notion of type and cotype in Banach spaces. This research is at the interface of two fields: probability theory and the geometry of infinite dimensional spaces (Banach spaces). Probabilistic ideas are useful in understanding Banach spaces and conversely the quest to understand these spaces leads to new and interesting questions in pure probability.
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会议论文
Two problems in Probability
Probability and Mean Field Models for Spin Glasses
Probability Theory and Spin Glasses.
Spin Glasses: A New Direction for Probability Theory
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