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A first course in random matrix theo...
~
Potters, Marc, (1969-)
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A first course in random matrix theory : = for physicists, engineers and data scientists /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
A first course in random matrix theory :/ Marc Potters, Jean-Philippe Bouchaud.
其他題名:
for physicists, engineers and data scientists /
作者:
Potters, Marc,
其他作者:
Bouchaud, Jean-Philippe,
出版者:
Cambridge, United Kingdom ;Cambridge University Press, : 2021.,
面頁冊數:
xx, 350 p. :ill. ;25 cm.
內容註:
Determine matrices -- Wigner ensemble and semi-circle law -- More on Gaussian matrices -- Wishart ensemble and Marcenko-Pastur distribution -- Joint distribution of eigenvalues -- Eigenvalues and Orthogonal polynomials -- The Jacobi ensemble -- Addition of random variables & Brownian motion -- Dyson Brownian motion -- Addition of large random matrices -- Free probabilities -- Free random matrices -- The replica method -- Edge eigenvalues and outliers -- Addition and multiplication : recipes and examples -- Products of many random matrices -- Sample covariance matrices -- Bayesian estimation -- Eigenvector overlaps and rotationally invariant estimators -- Applications to finance.
標題:
Random matrices. -
ISBN:
9781108488082
A first course in random matrix theory : = for physicists, engineers and data scientists /
Potters, Marc,1969-
A first course in random matrix theory :
for physicists, engineers and data scientists /Marc Potters, Jean-Philippe Bouchaud. - Cambridge, United Kingdom ;Cambridge University Press,2021. - xx, 350 p. :ill. ;25 cm.
Includes bibliographical references and index.
Determine matrices -- Wigner ensemble and semi-circle law -- More on Gaussian matrices -- Wishart ensemble and Marcenko-Pastur distribution -- Joint distribution of eigenvalues -- Eigenvalues and Orthogonal polynomials -- The Jacobi ensemble -- Addition of random variables & Brownian motion -- Dyson Brownian motion -- Addition of large random matrices -- Free probabilities -- Free random matrices -- The replica method -- Edge eigenvalues and outliers -- Addition and multiplication : recipes and examples -- Products of many random matrices -- Sample covariance matrices -- Bayesian estimation -- Eigenvector overlaps and rotationally invariant estimators -- Applications to finance.
ISBN: 9781108488082GBP57.99
LCCN: 2020022793Subjects--Topical Terms:
646309
Random matrices.
LC Class. No.: QA196.5 / .P68 2021
Dewey Class. No.: 512.9/434
A first course in random matrix theory : = for physicists, engineers and data scientists /
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Determine matrices -- Wigner ensemble and semi-circle law -- More on Gaussian matrices -- Wishart ensemble and Marcenko-Pastur distribution -- Joint distribution of eigenvalues -- Eigenvalues and Orthogonal polynomials -- The Jacobi ensemble -- Addition of random variables & Brownian motion -- Dyson Brownian motion -- Addition of large random matrices -- Free probabilities -- Free random matrices -- The replica method -- Edge eigenvalues and outliers -- Addition and multiplication : recipes and examples -- Products of many random matrices -- Sample covariance matrices -- Bayesian estimation -- Eigenvector overlaps and rotationally invariant estimators -- Applications to finance.
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