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Asymptotic Theory for Large Random M...

Yan, Jun.

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Asymptotic Theory for Large Random Matrices and Its Applications.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Asymptotic Theory for Large Random Matrices and Its Applications./
作者:	Yan, Jun.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2020,
面頁冊數:	162 p.
附註:	Source: Dissertations Abstracts International, Volume: 82-02, Section: B.
Contained By:	Dissertations Abstracts International82-02B.
標題:	Statistical physics. -
電子資源:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28104012
ISBN:	9798662511668

Asymptotic Theory for Large Random Matrices and Its Applications.
Yan, Jun.

Asymptotic Theory for Large Random Matrices and Its Applications. - Ann Arbor : ProQuest Dissertations & Theses, 2020 - 162 p.

Source: Dissertations Abstracts International, Volume: 82-02, Section: B.

Thesis (Ph.D.)--Stanford University, 2020.

This item must not be sold to any third party vendors.

Random matrix theory has a long history. It was first introduced in mathematical statistics by John Wishart in 1928, and it gained attention during the 1950s due to work by Eugene Wigner studying the distribution of nuclear energy levels. A large number of physicists and mathematicians have been fascinated by random matrix theory, and after decades of study, it has matured into a field with applications in many branches of physics and mathematics. Nowadays, the subject is still very much alive with new and exciting research. Much of my PhD work has revolved around the study of random matrix theory. This dissertation gives a tour of my work on asymptotic theory of large random matrices and its applications in statistics, probability, and the theory of orthogonal polynomials, respectively.

ISBN: 9798662511668Subjects--Topical Terms:

536281
Statistical physics.
Subjects--Index Terms:

Random matrix theory

Asymptotic Theory for Large Random Matrices and Its Applications.
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300 $a 162 p.
500 $a Source: Dissertations Abstracts International, Volume: 82-02, Section: B.
500 $a Advisor: Dembo, Amir;Chatterjee, Sourav;Montanari, Andrea.
502 $a Thesis (Ph.D.)--Stanford University, 2020.
506 $a This item must not be sold to any third party vendors.
520 $a Random matrix theory has a long history. It was first introduced in mathematical statistics by John Wishart in 1928, and it gained attention during the 1950s due to work by Eugene Wigner studying the distribution of nuclear energy levels. A large number of physicists and mathematicians have been fascinated by random matrix theory, and after decades of study, it has matured into a field with applications in many branches of physics and mathematics. Nowadays, the subject is still very much alive with new and exciting research. Much of my PhD work has revolved around the study of random matrix theory. This dissertation gives a tour of my work on asymptotic theory of large random matrices and its applications in statistics, probability, and the theory of orthogonal polynomials, respectively.
590 $a School code: 0212.
650 4 $a Statistical physics. $3 536281
650 4 $a Computer science. $3 523869
650 4 $a Theoretical physics. $3 2144760
653 $a Random matrix theory
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710 2 $a Stanford University. $3 754827
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