Coverart for item
The Resource Random matrices and their applications : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held June 17-23, 1984, with support from the National Science Foundation, Joel E. Cohen, Harry Kesten, and Charles M. Newman, editors

Random matrices and their applications : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held June 17-23, 1984, with support from the National Science Foundation, Joel E. Cohen, Harry Kesten, and Charles M. Newman, editors

Label
Random matrices and their applications : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held June 17-23, 1984, with support from the National Science Foundation
Title
Random matrices and their applications
Title remainder
proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held June 17-23, 1984, with support from the National Science Foundation
Statement of responsibility
Joel E. Cohen, Harry Kesten, and Charles M. Newman, editors
Creator
Contributor
Editor
Issuing body
Subject
Genre
Language
  • eng
  • eng
Member of
Cataloging source
MiAaPQ
http://bibfra.me/vocab/relation/corporateauthor
rZqGK6Ueels
Dewey number
519.2/6
Illustrations
illustrations
Index
no index present
Language note
English
LC call number
QA188
LC item number
.A46 1984
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Contemporary mathematics,
Series volume
volume 50
Label
Random matrices and their applications : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held June 17-23, 1984, with support from the National Science Foundation, Joel E. Cohen, Harry Kesten, and Charles M. Newman, editors
Instantiates
Publication
Copyright
Note
Description based upon print version of record
Bibliography note
Bibliography: pages 337-358
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • ""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""; ""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""
Dimensions
unknown
Extent
1 online resource (375 p.)
Form of item
online
Isbn
9780821876350
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)3240000000069575
  • (EBL)3113012
  • (SSID)ssj0000850380
  • (PQKBManifestationID)11459074
  • (PQKBTitleCode)TC0000850380
  • (PQKBWorkID)10832375
  • (PQKB)10722474
  • (MiAaPQ)EBC3113012
  • (EXLCZ)993240000000069575
Label
Random matrices and their applications : proceedings of the AMS-IMS-SIAM Joint Summer Research Conference held June 17-23, 1984, with support from the National Science Foundation, Joel E. Cohen, Harry Kesten, and Charles M. Newman, editors
Publication
Copyright
Note
Description based upon print version of record
Bibliography note
Bibliography: pages 337-358
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • ""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""; ""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""
Dimensions
unknown
Extent
1 online resource (375 p.)
Form of item
online
Isbn
9780821876350
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)3240000000069575
  • (EBL)3113012
  • (SSID)ssj0000850380
  • (PQKBManifestationID)11459074
  • (PQKBTitleCode)TC0000850380
  • (PQKBWorkID)10832375
  • (PQKB)10722474
  • (MiAaPQ)EBC3113012
  • (EXLCZ)993240000000069575

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