Hermitian Two Matrix Model with an Even Quartic Potential. (Record no. 70058)
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| fixed length control field | 04013nam a22005173i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114563 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124612.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2012 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821887561 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821869284 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114563 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114563 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11041341 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922964970 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA379 -- .D858 2011eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512.7/4 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Duits, Maurice. |
| 245 10 - TITLE STATEMENT | |
| Title | Hermitian Two Matrix Model with an Even Quartic Potential. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2012. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (118 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.217 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Abstract -- Chapter 1. Introduction and Statement of Results -- 1.1. Hermitian two matrix model -- 1.2. Background -- 1.3. Vector equilibrium problem -- 1.4. Solution of vector equilibrium problem -- 1.5. Classification into cases -- 1.6. Limiting mean eigenvalue distribution -- 1.7. About the proof of Theorem 1.4 -- 1.8. Singular cases -- Chapter 2. Preliminaries and the Proof of Lemma 1.2 -- 2.1. Saddle point equation and functions sj -- 2.2. Values at the saddles and functions j -- 2.3. Large z asymptotics -- 2.4. Two special integrals -- 2.5. Proof of Lemma 1.2 -- Chapter 3. Proof of Theorem 1.1 -- 3.1. Results from potential theory -- 3.2. Equilibrium problem for 3 -- 3.3. Equilibrium problem for 1 -- 3.4. Equilibrium problem for 2 -- 3.5. Uniqueness of the minimizer -- 3.6. Existence of the minimizer -- 3.7. Proof of Theorem 1.1 -- Chapter 4. A Riemann Surface -- 4.1. The g-functions -- 4.2. Riemann surface R and -functions -- 4.3. Properties of the functions -- 4.4. The functions -- Chapter 5. Pearcey Integrals and the First Transformation -- 5.1. Definitions -- 5.2. Large z asymptotics -- 5.3. First transformation: Y X -- 5.4. RH problem for X -- Chapter 6. Second Transformation X U -- 6.1. Definition of second transformation -- 6.2. Asymptotic behavior of U -- 6.3. Jump matrices for U -- 6.4. RH problem for U -- Chapter 7. Opening of Lenses -- 7.1. Third transformation U T -- 7.2. RH problem for T -- 7.3. Jump matrices for T -- 7.4. Fourth transformation T S -- 7.5. RH problem for S -- 7.6. Behavior of jumps as n -- Chapter 8. Global Parametrix -- 8.1. Statement of RH problem -- 8.2. Riemann surface as an M-curve -- 8.3. Canonical homology basis -- 8.4. Meromorphic differentials -- 8.5. Definition and properties of functions uj -- 8.6. Definition and properties of functions vj -- 8.7. The first row of M. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 8.8. The other rows of M -- Chapter 9. Local Parametrices and Final Transformation -- 9.1. Local parametrices -- 9.2. Final transformation -- 9.3. Proof of Theorem 1.4 -- Bibliography -- Index. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Boundary value problems. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Hermitian structures. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Eigenvalues. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Random matrices. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Kuijlaars, Arno B.J. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Mo, Man Yue. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Duits, Maurice |
| Title | Hermitian Two Matrix Model with an Even Quartic Potential |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2012 |
| International Standard Book Number | 9780821869284 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114563">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114563</a> |
| Public note | Click to View |
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