Current directions in the combinatorics of free probability
Current directions in the combinatorics of free probability
批准号:
203195-2010
负责人:
Nica, Alexandru
金额:
$1.46万
依托单位:
依托单位国家:
加拿大
项目类别:
Discovery Grants Program - Individual
财政年份:
2010
资助国家:
加拿大
项目状态:
已结题
起止时间:
2010-01-01 至 2011-12-31
中文摘要
自由概率是一门与经典概率平行的研究领域,在这样的背景下,张量积被自由积取代,独立的随机变量被自由非交换随机变量取代。自由概率理论起源于20世纪80年代,是一门针对算子代数自由积的长期存在的问题的研究。从那时起,它本身就成为了一门学科,与数学的其他几个部分有联系,并且(通过它与随机矩阵的关系)与电子工程中的无线通信研究有联系。
英文摘要
Free probability is a line of research which parallels aspects of classical probability, in a context where tensor products are replaced by free products, and independent random variables are replaced by free noncommutative random variables. Free probability originated in the 1980s, as a line of attacking some longstanding problems about free products of operator algebras. Since then, it has emerged as a subject in its own right, with connections to several other parts of mathematics, and (via its relation to random matrices) with connections to the study of wireless communications in electrical engineering.
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Free probability: combinatorial and analytic aspects, and interactions with other notions of independence
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批准号:RGPIN-2017-04181
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项目类别:Discovery Grants Program - Individual
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资助金额:$2.91万
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财政年份:2021
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负责人:Nica, Alexandru
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依托单位:
Free probability: combinatorial and analytic aspects, and interactions with other notions of independence
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批准号:RGPIN-2017-04181
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.46万
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财政年份:2020
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负责人:Nica, Alexandru
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依托单位:
TiO2 Electrode Manufacturing
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批准号:548299-2019
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项目类别:University Undergraduate Student Research Awards
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资助金额:$0.33万
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财政年份:2019
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负责人:Nica, Alexandru
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依托单位:
Free probability: combinatorial and analytic aspects, and interactions with other notions of independence
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批准号:RGPIN-2017-04181
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.46万
-
财政年份:2019
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负责人:Nica, Alexandru
-
依托单位:
Free probability: combinatorial and analytic aspects, and interactions with other notions of independence
-
批准号:RGPIN-2017-04181
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.46万
-
财政年份:2018
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负责人:Nica, Alexandru
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依托单位:
Free probability: combinatorial and analytic aspects, and interactions with other notions of independence
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批准号:RGPIN-2017-04181
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.46万
-
财政年份:2017
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负责人:Nica, Alexandru
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依托单位:
Current directions in the combinatorics of free probability
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批准号:203195-2010
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项目类别:Discovery Grants Program - Individual
-
资助金额:$1.46万
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财政年份:2016
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负责人:Nica, Alexandru
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依托单位:
Current directions in the combinatorics of free probability
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批准号:203195-2010
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.46万
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财政年份:2013
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负责人:Nica, Alexandru
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依托单位:
Current directions in the combinatorics of free probability
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批准号:203195-2010
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.46万
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财政年份:2012
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负责人:Nica, Alexandru
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依托单位:
Current directions in the combinatorics of free probability
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批准号:203195-2010
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.46万
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财政年份:2011
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负责人:Nica, Alexandru
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依托单位:
Combinatorial methods in free probability and in the theory of random matrices
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批准号:203195-2005
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项目类别:Discovery Grants Program - Individual
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资助金额:$2.04万
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财政年份:2009
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负责人:Nica, Alexandru
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依托单位:
Combinatorial methods in free probability and in the theory of random matrices
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批准号:203195-2005
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项目类别:Discovery Grants Program - Individual
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资助金额:$2.04万
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财政年份:2008
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负责人:Nica, Alexandru
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依托单位:
Combinatorial methods in free probability and in the theory of random matrices
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批准号:203195-2005
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项目类别:Discovery Grants Program - Individual
-
资助金额:$2.04万
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财政年份:2007
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负责人:Nica, Alexandru
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依托单位:
Combinatorial methods in free probability and in the theory of random matrices
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批准号:203195-2005
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项目类别:Discovery Grants Program - Individual
-
资助金额:$2.04万
-
财政年份:2006
-
负责人:Nica, Alexandru
-
依托单位:
Combinatorial methods in free probability and in the theory of random matrices
-
批准号:203195-2005
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$2.04万
-
财政年份:2005
-
负责人:Nica, Alexandru
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依托单位:
Combinatorial and analytical aspects of free probability
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批准号:203195-2001
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.82万
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财政年份:2004
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负责人:Nica, Alexandru
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依托单位:
Combinatorial and analytical aspects of free probability
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批准号:203195-2001
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.82万
-
财政年份:2003
-
负责人:Nica, Alexandru
-
依托单位:
Combinatorial and analytical aspects of free probability
-
批准号:203195-2001
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.82万
-
财政年份:2002
-
负责人:Nica, Alexandru
-
依托单位:
Combinatorial and analytical aspects of free probability
-
批准号:203195-2001
-
项目类别:Discovery Grants Program - Individual
-
资助金额:$1.82万
-
财政年份:2001
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负责人:Nica, Alexandru
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依托单位:
Combinatorial techniques in free probability theory
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批准号:203195-1998
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项目类别:Discovery Grants Program - Individual
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资助金额:$1.51万
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财政年份:2000
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负责人:Nica, Alexandru
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依托单位:
海外基金