The Resource Fixed point of the parabolic renormalization operator, Oscar E. Lanford III, Michael Yampolsky

Fixed point of the parabolic renormalization operator, Oscar E. Lanford III, Michael Yampolsky

Label
Fixed point of the parabolic renormalization operator
Title
Fixed point of the parabolic renormalization operator
Statement of responsibility
Oscar E. Lanford III, Michael Yampolsky
Creator
Contributor
Author
Subject
Genre
Language
eng
Summary
This monograph grew out of the authors' efforts to provide a natural geometric description for the class of maps invariant under parabolic renormalization and for the Inou-Shishikura fixed point itself as well as to carry out a computer-assisted study of the parabolic renormalization operator. It introduces a renormalization-invariant class of analytic maps with a maximal domain of analyticity and rigid covering properties and presents a numerical scheme for computing parabolic renormalization of a germ, which is used to compute the Inou-Shishikura renormalization fixed point. Inside, readers will find a detailed introduction into the theory of parabolic bifurcation, Fatou coordinates, Écalle-Voronin conjugacy invariants of parabolic germs, and the definition and basic properties of parabolic renormalization. The systematic view of parabolic renormalization developed in the book and the numerical approach to its study will be interesting to both experts in the field as well as graduate students wishing to explore one of the frontiers of modern complex dynamics
Member of
Cataloging source
N$T
http://library.link/vocab/creatorDate
1940-2013
http://library.link/vocab/creatorName
Lanford, Oscar E.
Dewey number
515/.7242
Illustrations
illustrations
Index
index present
LC call number
QA329.42
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1972-
http://library.link/vocab/relatedWorkOrContributorName
Yampolsky, Michael
Series statement
SpringerBriefs in Mathematics,
http://library.link/vocab/subjectName
  • Parabolic operators
  • Fixed point theory
  • MATHEMATICS
  • MATHEMATICS
  • Fixed point theory
  • Parabolic operators
Label
Fixed point of the parabolic renormalization operator, Oscar E. Lanford III, Michael Yampolsky
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-11707-2
Instantiates
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1 Introduction -- 2 Local dynamics of a parabolic germ -- 3 Global theory -- 4 Numerical results -- 5 For dessert: several amusing examples -- Index
Dimensions
unknown
Extent
1 online resource (viii, 111 pages)
File format
unknown
Form of item
online
Isbn
9783319117072
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-11707-2
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)894509908
  • (OCoLC)ocn894509908
Label
Fixed point of the parabolic renormalization operator, Oscar E. Lanford III, Michael Yampolsky
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-11707-2
Publication
Copyright
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1 Introduction -- 2 Local dynamics of a parabolic germ -- 3 Global theory -- 4 Numerical results -- 5 For dessert: several amusing examples -- Index
Dimensions
unknown
Extent
1 online resource (viii, 111 pages)
File format
unknown
Form of item
online
Isbn
9783319117072
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-11707-2
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)894509908
  • (OCoLC)ocn894509908

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