Random Matrices and Their Applications. (Record no. 68547)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 04411nam a22004813i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3113012 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124531.0 |
| 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 | 240724s1986 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821876350 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821850442 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3113012 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3113012 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10873175 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922980407 |
| 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 | QA188 -- .A46 1984eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.2/6 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Cohen, J.E. |
| 245 10 - TITLE STATEMENT | |
| Title | Random Matrices and Their Applications. |
| 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 | 1986. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©1986. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (375 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 | Contemporary Mathematics ; |
| Volume/sequential designation | v.50 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Preface -- I. Basic theory of products of random matrices -- A. Overviews: -- Limit theorems for products of random matrices: a comparison of two points of view -- Oseledec's multiplicative ergodic theorem: a proof -- Products of random matrices: convergence theorems -- Examples of application of Oseledec's theorem -- B. Perturbation theory: -- Multiplicative ergodic theorems for random diffeomorphisms -- Furstenberg-Kesten results: asymptotic analysis -- Stability of exponential growth rate for randomly perturbed random matrix products via Markov-chain arguments -- Representation, positivity and expansion of Lyapunov exponents for linear stochastic systems -- C. Theory of matrix products: -- On uniform contraction generated by positive matrices -- D. Connections with spectral theory: -- Lyapunov exponents for some products of random matrices: exact expressions and asymptotic distributions -- II. Spectral theory of random matrices -- A brief survey on the spectral radius and the spectral distribution of large random matrices with i.i.d. entries -- Eigenvalues and eigenvectors of large dimensional sample covariance matrices -- Spectra for large dimensional random matrices -- III. Applications to computer science, probability and statistics of products of random matrices -- A. Applications to computer science and statistics: -- Products of random matrices and computer image generation -- Products of random matrices as they arise in the study of random walks on groups -- B. Applications to Markov chains in random environments: -- On products of random stochastic matrices -- Convolution sequences of measures on the semigroup of stochastic matrices -- Random walks on semigroups -- C. Other applications to probability theory: -- A note on random systems with complete connections and their applications to products of random matrices. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Using random matrices to give recurrence and transience criteria for random walk in a random environment -- A contraction principle for certain Markov chains and its applications -- IV. Scientific applications of random matrices and their products -- Lyapounov exponents and spectra for one-dimensional random Schroedinger operators -- The density of states of random Schroedinger operators -- Random matrices in nuclear physics and number theory -- Random matrices and waves in random media -- Demographic applications of random matrix products -- V. Supplements -- Open problems -- List of participants in Joint Summer Research Conference at Bowdoin College, 17-23 June 1984 -- Products of random matrices and related topics in mathematics and science: a bibliography. |
| 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 | Random matrices -- Congresses. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Kesten, H. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Newman, C.M. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Cohen, J.E. |
| Title | Random Matrices and Their Applications |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c1986 |
| International Standard Book Number | 9780821850442 |
| 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 | Contemporary Mathematics |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113012">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113012</a> |
| Public note | Click to View |
No items available.