Free Probability and Random Matrices (Запис № 453467)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04175nam a22006015i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-1-4939-6942-5 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20210118153404.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 170626s2017 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781493969425 |
| -- | 978-1-4939-6942-5 |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-1-4939-6942-5 |
| Source of number or code | doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA273.A1-274.9 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA274-274.9 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBT |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT029000 |
| Source | bisacsh |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBT |
| Source | thema |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | PBWL |
| Source | thema |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.2 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Mingo, James A. |
| Relator term | author. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Free Probability and Random Matrices |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by James A. Mingo, Roland Speicher. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2017. |
| 264 #1 - | |
| -- | New York, NY : |
| -- | Springer New York : |
| -- | Imprint: Springer, |
| -- | 2017. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XIV, 336 p. 45 illus. |
| Other physical details | online resource. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - SERIES STATEMENT | |
| Series statement | Fields Institute Monographs, |
| Міжнародний стандартний серійний номер для назви серії (ISSN) | 1069-5273 ; |
| Том/ позначення послідовності | 35 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Asymptotic Freeness of Gaussian Random Matrices -- 2. The Free Central Limit Theorem and Free Cumulants -- 3. Free Harmonic Analysis -- 4. Asymptotic Freeness -- 5. Second Order Freeness -- 6. Free Group Factors and Freeness -- 7. Free Entropy X-the Microstates Approach via Large Deviations -- Free Entropy X*-the Non-Microstates Approach via Free Fisher Information -- 9. Operator-Valued Free Probability Theory and Block Random Matrices -- 10. Polynomials in Free Variables and Operator-Valued Convolution -- 11. Brown Measure -- Solutions to Exercises -- References -- Index of Exercises. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This volume opens the world of free probability to a wide variety of readers. From its roots in the theory of operator algebras, free probability has intertwined with non-crossing partitions, random matrices, applications in wireless communications, representation theory of large groups, quantum groups, the invariant subspace problem, large deviations, subfactors, and beyond. This book puts a special emphasis on the relation of free probability to random matrices, but also touches upon the operator algebraic, combinatorial, and analytic aspects of the theory. The book serves as a combination textbook/research monograph, with self-contained chapters, exercises scattered throughout the text, and coverage of important ongoing progress of the theory. It will appeal to graduate students and all mathematicians interested in random matrices and free probability from the point of view of operator algebras, combinatorics, analytic functions, or applications in engineering and statistical physics. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Terms governing access | Available to subscribing member institutions only. Доступно лише організаціям членам підписки. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Standardized terminology for access restriction | Online access from local network of NaUOA. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Standardized terminology for access restriction | Online access with authorization at https://link.springer.com/ |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Standardized terminology for access restriction | Онлайн-доступ з локальної мережі НаУОА. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Standardized terminology for access restriction | Онлайн доступ з авторизацією на https://link.springer.com/ |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Probabilities. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Functional analysis. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Probability Theory and Stochastic Processes. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M27004 |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Functional Analysis. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12066 |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Speicher, Roland. |
| Relator term | author. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY | |
| Title | Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9781493969418 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9781493969432 |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Printed edition: |
| International Standard Book Number | 9781493983469 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Fields Institute Monographs, |
| -- | 1069-5273 ; |
| Volume number/sequential designation | 35 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-1-4939-6942-5">https://doi.org/10.1007/978-1-4939-6942-5</a> |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | ЕКнига |
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