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The Resource Iterates of piecewise monotone mappings on an interval, Chris Preston

Iterates of piecewise monotone mappings on an interval, Chris Preston

Label
Iterates of piecewise monotone mappings on an interval
Title
Iterates of piecewise monotone mappings on an interval
Statement of responsibility
Chris Preston
Creator
Subject
Language
eng
Summary
Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. These notes are concerned with the properties of the iterates of such mappings. The material presented can be understood by anyone who has had a basic course in (one-dimensional) real analysis. The account concentrates on the topological (as opposed to the measure theoretical) aspects of the theory of piecewise monotone mappings. As well as offering an elementary introduction to this theory, these notes also contain a more advanced treatment of the problem of classifying such mappings up to topological conjugacy
Member of
Cataloging source
SPLNM
http://library.link/vocab/creatorName
Preston, Christopher J
Dewey number
  • 510 s
  • 515.8/3
Illustrations
illustrations
Index
index present
LC call number
  • QA3
  • QA331
LC item number
.L28 no. 1347
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Lecture notes in mathematics,
Series volume
1347
http://library.link/vocab/subjectName
  • Functions of real variables
  • Mappings (Mathematics)
  • Topological dynamics
  • Fonctions de variables réelles
  • Applications (Mathématiques)
  • Dynamique topologique
  • Functions of real variables
  • Mappings (Mathematics)
  • Topological dynamics
  • Fonctions d'une variable réelle
  • Dynamique topologique
  • Topologie
  • Stückweise monotone Abbildung
  • Intervall
  • Iteration
Label
Iterates of piecewise monotone mappings on an interval, Chris Preston
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 160-162) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Piecewise Monotone Mappings -- Proof of Theorems 2.4 and 2.5 -- Sinks and Homtervals -- Examples of Register-shifts -- A Proof of Parry's Theorem (Theorem 2.6) -- Reductions -- The Structure of the Set D(f) -- Countable Closed Invariant Sets -- Extensions -- Refinements -- Mappings with one Turning Point -- Some Miscellaneous Results from Real Analysis -- References -- Index
Control code
294937757
Dimensions
unknown
Extent
1 online resource (166 pages)
Form of item
online
Isbn
9783540459712
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)294937757
Label
Iterates of piecewise monotone mappings on an interval, Chris Preston
Publication
Bibliography note
Includes bibliographical references (pages 160-162) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Piecewise Monotone Mappings -- Proof of Theorems 2.4 and 2.5 -- Sinks and Homtervals -- Examples of Register-shifts -- A Proof of Parry's Theorem (Theorem 2.6) -- Reductions -- The Structure of the Set D(f) -- Countable Closed Invariant Sets -- Extensions -- Refinements -- Mappings with one Turning Point -- Some Miscellaneous Results from Real Analysis -- References -- Index
Control code
294937757
Dimensions
unknown
Extent
1 online resource (166 pages)
Form of item
online
Isbn
9783540459712
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations.
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)294937757

Library Locations

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      38.944491 -92.326012
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