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The Resource Global aspects of the reducibility of quasiperiodic cocycles in semisimple compact Lie groups, Nikolaos Karaliolios

Global aspects of the reducibility of quasiperiodic cocycles in semisimple compact Lie groups, Nikolaos Karaliolios

Label
Global aspects of the reducibility of quasiperiodic cocycles in semisimple compact Lie groups
Title
Global aspects of the reducibility of quasiperiodic cocycles in semisimple compact Lie groups
Statement of responsibility
Nikolaos Karaliolios
Creator
Contributor
Author
Issuing body
Subject
Language
  • eng
  • eng
  • fre
  • eng
Summary
"In this mémoire we study quasiperiodic cocycles in semi-simple compact Lie groups. For the greatest part of our study, we will focus ourselves to one-frequency cocyles. We will prove that C(infinity)-reducible cocylces are dense in the C(infinity) topology, for a full measure set of frequencies. Moreover, we will show that every cocycle (or an appropriate iterate of it, if homotopy appears as an obstruction) is almost torus-reducible (i.e. can be conjugated arbitrarily close to cocycles taking values in an abelian subgroup of G). In the course of the proof we will firstly define two invariants of the dynamics, which we will call energy and degree and which give a preliminary distinction between (almost-)reducible and non-reducible cocycles. We will then take up the proof of the density theorem. We will show that an algorithm of renormalization converges to perturbations of simple models, indexed by the degree. Finally, we will analyze these perturbations using methods inspired by K.A.M. theory"--Back cover
Member of
Cataloging source
SYB
http://library.link/vocab/creatorName
Karaliolios, Nikolaos
Index
no index present
LC call number
  • QA1
  • QA387
LC item number
  • .S68, n.s., no. 146
  • .K37 2016
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Société mathématique de France
  • Centre national de la recherche scientifique (France)
Series statement
Mémoires de la SMF,
Series volume
Nouvelle série, Numéro 146
http://library.link/vocab/subjectName
  • Cocycles
  • Semisimple Lie groups
  • Cocycles
  • Semisimple Lie groups
Label
Global aspects of the reducibility of quasiperiodic cocycles in semisimple compact Lie groups, Nikolaos Karaliolios
Instantiates
Publication
Copyright
Note
Includes abstract in French and English
Bibliography note
  • Includes bibliographical references (pages 197-200)
  • Includes bibliographical references (pages 197-200)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
953620258
Dimensions
24 cm.
Extent
4, ii, 200 pages
Isbn
9782856298329
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)953620258
Label
Global aspects of the reducibility of quasiperiodic cocycles in semisimple compact Lie groups, Nikolaos Karaliolios
Publication
Copyright
Note
Includes abstract in French and English
Bibliography note
  • Includes bibliographical references (pages 197-200)
  • Includes bibliographical references (pages 197-200)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
953620258
Dimensions
24 cm.
Extent
4, ii, 200 pages
Isbn
9782856298329
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)953620258

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