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عنوان
Orthogonal polynomials and random matrices

پدید آورنده
/ Percy Deift

موضوع
Orthogonal polynomials,Random matrices

رده
QA404
.
5
.
D37
2000

کتابخانه
Central Library and Information Center of the University of Mohaghegh Ardabili

محل استقرار
استان: Ardabil ـ شهر: Ardabil

Central Library and Information Center of the University of Mohaghegh Ardabili

تماس با کتابخانه : 90-33512081-045

INTERNATIONAL STANDARD BOOK NUMBER

(Number (ISBN
0821826956

NATIONAL BIBLIOGRAPHY NUMBER

Country Code
IR
Number
EB16131

LANGUAGE OF THE ITEM

.Language of Text, Soundtrack etc
انگلیسی

COUNTRY OF PUBLICATION OR PRODUCTlON

Country of publication
IR

TITLE AND STATEMENT OF RESPONSIBILITY

Title Proper
Orthogonal polynomials and random matrices
General Material Designation
[Electronic Resource]
Other Title Information
:a Riemann-Hilbert approach
First Statement of Responsibility
/ Percy Deift

.PUBLICATION, DISTRIBUTION, ETC

Place of Publication, Distribution, etc.
Providence, R.I.
Name of Publisher, Distributor, etc.
: American Mathematical Society,
Date of Publication, Distribution, etc.
, 2000.

PHYSICAL DESCRIPTION

Specific Material Designation and Extent of Item
ix, 261 p. ill. 26 cm.

SERIES

Series Title
(Courant lecture notes in mathematics
Volume Designation
; 3)

GENERAL NOTES

Text of Note
Originally published: New York : Courant Institute of Mathematical Sciences, New York University, c1999.

NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.

Text of Note
e

INTERNAL BIBLIOGRAPHIES/INDEXES NOTE

Text of Note
ng
Text of Note
Includes bibliographical references (p. 259-261).

CONTENTS NOTE

Text of Note
Machine generated contents note: Chapter 1. Riemann-Hilbert Problems 1 -- 1.1. What Is a Riemann-Hilbert Problem? 1 -- 1.2. Examples 4 -- Chapter 2. Jacobi Operators 13 -- 2.1. Jacobi Matrices 13 -- 2.2. The Spectrum of Jacobi Matrices 23 -- 2.3. The Toda Flow 25 -- 2.4. Unbounded Jacobi Operators 26 -- 2.5. Appendix: Support of a Measure 35 -- Chapter 3. Orthogonal Polynomials 37 -- 3.1. Construction of Orthogonal Polynomials 37 -- 3.2. A Riemann-Hilbert Problem 43 -- 3.3. Some Symmetry Considerations 49 -- 3.4. Zeros of Orthogonal Polynomials 52 -- Chapter 4. Continued Fractions 57 -- 4.1. Continued Fraction Expansion of a Number 57 -- 4.2. Measure Theory and Ergodic Theory 64 -- 4.3. Application to Jacobi Operators 76 -- 4.4. Remarks on the Continued Fraction Expansion of a Number 85 -- Chapter 5. Random Matrix Theory 89 -- 5.1. Introduction 89 -- 5.2. Unitary Ensembles 91 -- 5.3. Spectral Variables for Hermitian Matrices 94 -- 5.4. Distribution of Eigenvalues 101 -- 5.5. Distribution of Spacings of Eigenvalues 113 -- 5.6. Further Remarks on the Nearest-Neighbor Spacing Distribution and -- Universality 120 -- Chapter 6. Equilibrium Measures 129 -- 6.1. Scaling 129 -- 6.2. Existence of the Equilibrium Measure LLV 134 -- 6.3. Convergence of X,* 145 -- 6.4. Convergence of RlI(xl)dxl 149 -- 6.5. Convergence of rlx* 159 -- 6.6. Variational Problem for the Equilibrium Measure 167 -- 6.7. Equilibrium Measure for V(x) = tx2m 169 -- 6.8. Appendix: The Transfinite Diameter and Fekete Sets 179 -- Chapter 7. Asymptotics for Orthogonal Polynomials 181 -- 7.1. Riemann-Hilbert Problem: The Precise Sense 181 -- 7.2. Riemann-Hilbert Problem for Orthogonal Polynomials 189 -- 7.3. Deformation of a Riemann-Hilbert Problem 191 -- 7.4. Asymptotics of Orthogonal Polynomials 201 -- 7.5. Some Analytic Considerations of Riemann-Hilbert Problems 208 -- 7.6. Construction of the Parametrix 213 -- 7.7. Asymptotics of Orthogonal Polynomials on the Real Axis 230 -- Chapter 8. Universality 237 -- 8.1. Universality 237 -- 8.2. Asymptotics of Ps 251.

TOPICAL NAME USED AS SUBJECT

Orthogonal polynomials
Random matrices

DEWEY DECIMAL CLASSIFICATION

Number
515
.
55

LIBRARY OF CONGRESS CLASSIFICATION

Class number
QA404
.
5
Book number
.
D37
2000

PERSONAL NAME - PRIMARY RESPONSIBILITY

Deift, Percy,1945-

ORIGINATING SOURCE

Country
ایران

ELECTRONIC LOCATION AND ACCESS

Host name
0821826956.djvu
Access number
محرمانه
Compression information
محرمانه
Electronic name
0821826956.djvu
Bits per second
0
Electronic Format Type
متن

old catalog

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BL
1

a
Y

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