Coverart for item
The Resource Random Walks on Reductive Groups, by Yves Benoist, Jean-François Quint, (electronic resource)

Random Walks on Reductive Groups, by Yves Benoist, Jean-François Quint, (electronic resource)

Label
Random Walks on Reductive Groups
Title
Random Walks on Reductive Groups
Statement of responsibility
by Yves Benoist, Jean-François Quint
Creator
Contributor
Author
Subject
Language
eng
Summary
The classical theory of Random Walks describes the asymptotic behavior of sums of independent identically distributed random real variables. This book explains the generalization of this theory to products of independent identically distributed random matrices with real coefficients. Under the assumption that the action of the matrices is semisimple – or, equivalently, that the Zariski closure of the group generated by these matrices is reductive - and under suitable moment assumptions, it is shown that the norm of the products of such random matrices satisfies a number of classical probabilistic laws. This book includes necessary background on the theory of reductive algebraic groups, probability theory and operator theory, thereby providing a modern introduction to the topic.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Benoist, Yves
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Quint, Jean-François.
Series statement
  • Springer eBooks
  • Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics,
Series volume
62
http://library.link/vocab/subjectName
  • Mathematics
  • Topological groups
  • Lie groups
  • Dynamics
  • Ergodic theory
  • Probabilities
Label
Random Walks on Reductive Groups, by Yves Benoist, Jean-François Quint, (electronic resource)
Link
http://link.springer.com/openurl?genre=book&isbn=978-3-319-47719-0
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Part I The Law of Large Numbers -- Stationary measures -- The Law of Large Numbers -- Linear random walks -- Finite index subsemigroups -- Part II Reductive groups -- Loxodromic elements -- The Jordan projection of semigroups -- Reductive groups and their representations -- Zariski dense subsemigroups -- Random walks on reductive groups -- Part III The Central Limit Theorem -- Transfer operators over contracting actions -- Limit laws for cocycles -- Limit laws for products of random matrices -- Regularity of the stationary measure -- Part IV The Local Limit Theorem -- The Spectrum of the complex transfer operator -- The Local limit theorem for cocycles -- The local limit theorem for products of random matrices -- Part V Appendix -- Convergence of sequences of random variables -- The essential spectrum of bounded operators -- Bibliographical comments
Control code
978-3-319-47721-3
Dimensions
unknown
Extent
1 online resource (XI, 323 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319477213
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-47721-3
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)961117312
Label
Random Walks on Reductive Groups, by Yves Benoist, Jean-François Quint, (electronic resource)
Link
http://link.springer.com/openurl?genre=book&isbn=978-3-319-47719-0
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Part I The Law of Large Numbers -- Stationary measures -- The Law of Large Numbers -- Linear random walks -- Finite index subsemigroups -- Part II Reductive groups -- Loxodromic elements -- The Jordan projection of semigroups -- Reductive groups and their representations -- Zariski dense subsemigroups -- Random walks on reductive groups -- Part III The Central Limit Theorem -- Transfer operators over contracting actions -- Limit laws for cocycles -- Limit laws for products of random matrices -- Regularity of the stationary measure -- Part IV The Local Limit Theorem -- The Spectrum of the complex transfer operator -- The Local limit theorem for cocycles -- The local limit theorem for products of random matrices -- Part V Appendix -- Convergence of sequences of random variables -- The essential spectrum of bounded operators -- Bibliographical comments
Control code
978-3-319-47721-3
Dimensions
unknown
Extent
1 online resource (XI, 323 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319477213
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-47721-3
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)961117312

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