Introduction to random matrices (Record no. 56826)

MARC details
000 -LEADER
fixed length control field 04473nam a22003257a 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20211004155344.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 200923b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319708836
028 ## - DISTRIBUTOR NAME
Distributor Name :Variety Books Publishers & Distributors
Distributor address :B-10 Street No 2 West Vinod Nagar Delhi 110092
Bill Number :IM2780
Bill Date :12/08/2020
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.9434 LIV
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Livan, Giacomo
245 ## - TITLE STATEMENT
Title Introduction to random matrices
Remainder of title : theory and practice
Statement of responsibility, etc / Giacomo Livan
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Cham, Switzerland
Name of publisher, distributor, etc : Springer
Date of publication, distribution, etc 2018
300 ## - PHYSICAL DESCRIPTION
Extent ix, 124p.
Dimensions 24cm.
365 ## - TRADE PRICE
Price amount 4484
490 ## - SERIES STATEMENT
Series statement SpringerBriefs in mathematical physics, v. 26.
505 ## - FORMATTED CONTENTS NOTE
Contents note Intro; Preface; Contents; 1 Getting Started; 1.1 One-Pager on Random Variables; 2 Value the Eigenvalue; 2.1 Appetizer: Wigner's Surmise; 2.2 Eigenvalues as Correlated Random Variables; 2.3 Compare with the Spacings Between i.i.d.'s; 2.4 Jpdf of Eigenvalues of Gaussian Matrices; References; 3 Classified Material; 3.1 Count on Dirac; 3.2 Layman's Classification; 3.3 To Know More ... ; References; 4 The Fluid Semicircle; 4.1 Coulomb Gas; 4.2 Do It Yourself (Before Lunch); References; 5 Saddle-Point-of-View; 5.1 Saddle-Point. What's the Point?; 5.2 Disintegrate the Integral Equation. 5.3 Better Weak Than Nothing5.4 Smart Tricks; 5.5 The Final Touch; 5.6 Epilogue; 5.7 To Know More ... ; References; 6 Time for a Change; 6.1 Intermezzo: A Simpler Change of Variables; 6.2 ... that Is the Question; 6.3 Keep Your Volume Under Control; 6.4 For Doubting Thomases ... ; 6.5 Jpdf of Eigenvalues and Eigenvectors; 6.6 Leave the Eigenvalues Alone; 6.7 For Invariant Models ... ; 6.8 The Proof; References; 7 Meet Vandermonde; 7.1 The Vandermonde Determinant; 7.2 Do It Yourself; References; 8 Resolve(nt) the Semicircle; 8.1 A Bit of Theory; 8.2 Averaging; 8.3 Do It Yourself. 8.4 Localize the Resolvent8.5 To Know More ... ; References; 9 One Pager on Eigenvectors; References; 10 Finite N; 10.1 β=2 is Easier; 10.2 Integrating Inwards; 10.3 Do It Yourself; 10.4 Recovering the Semicircle; References; 11 Meet Andréief; 11.1 Some Integrals Involving Determinants; 11.2 Do It Yourself; 11.3 To Know More ... ; References; 12 Finite N Is Not Finished; 12.1 β=1; 12.2 β=4; References; 13 Classical Ensembles: Wishart-Laguerre; 13.1 Wishart-Laguerre Ensemble; 13.2 Jpdf of Entries: Matrix Deltas ... ; 13.3 ... and Matrix Integrals; 13.4 To Know More ... ; References. 14 Meet MarÄ#x8D;enko and Pastur14.1 The MarÄ#x8D;enko-Pastur Density; 14.2 Do It Yourself: The Resolvent Method; 14.3 Correlations in the Real World and a Quick Example: Financial Correlations; References; 15 Replicas ... ; 15.1 Meet Edwards and Jones; 15.2 The Proof; 15.3 Averaging the Logarithm; 15.4 Quenched versus Annealed; References; 16 Replicas for GOE; 16.1 Wigner's Semicircle for GOE: Annealed Calculation; 16.2 Wigner's Semicircle: Quenched Calculation; 16.2.1 Critical Points; 16.2.2 One Step Back: Summarize and Continue; References; 17 Born to Be Free. 17.1 Things About Probability You Probably Already Know17.2 Freeness; 17.3 Free Addition; 17.4 Do It Yourself; References.
520 ## - SUMMARY, ETC.
Summary, etc Modern developments of Random Matrix Theory as well as pedagogical approaches to the standard core of the discipline are surprisingly hard to find in a well-organized, readable and user-friendly fashion. This slim and agile book, written in a pedagogical and hands-on style, without sacrificing formal rigor fills this gap. It brings Ph. D. students in Physics, as well as more senior practitioners, through the standard tools and results on random matrices, with an eye on most recent developments that are not usually covered in introductory texts. The focus is mainly on random matrices with real spectrum. The main guiding threads throughout the book are the Gaussian Ensembles. In particular, Wigner's semicircle law is derived multiple times to illustrate several techniques (e.g., Coulomb gas approach, replica theory). Most chapters are accompanied by Matlab codes (stored in an online repository) to guide readers through the numerical check of most analytical results.<br/>
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebra
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Random matrices.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Probability & statistics.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical physics.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Statistical physics.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS -- Algebra -- Intermediate.
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Livan, Giacomo
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Novaes Marcel
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Vivo, Pierpaolo
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Source of acquisition Cost, normal purchase price Total Checkouts Total Renewals Full call number Barcode Date last seen Date checked out Price effective from Koha item type
    Dewey Decimal Classification   Not For Loan SNU LIBRARY SNU LIBRARY 23/09/2020 Variety Books Publishers & Distributors 4484.00 2 2 512.9434 LIV 27842 18/07/2023 06/06/2023 23/09/2020 Books
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