The Resource Computability of Julia Sets, by Mark Braverman, Michael Yampolsky, (electronic resource)

Computability of Julia Sets, by Mark Braverman, Michael Yampolsky, (electronic resource)

Label
Computability of Julia Sets
Title
Computability of Julia Sets
Statement of responsibility
by Mark Braverman, Michael Yampolsky
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. Their beauty and complexity can be fascinating. They also hold a deep mathematical content. Computational hardness of Julia sets is the main subject of this book. By definition, a computable set in the plane can be visualized on a computer screen with an arbitrarily high magnification. There are countless programs to draw Julia sets. Yet, as the authors have discovered, it is possible to constructively produce examples of quadratic polynomials, whose Julia sets are not computable. This result is striking - it says that while a dynamical system can be described numerically with an arbitrary precision, the picture of the dynamics cannot be visualized. The book summarizes the present knowledge about the computational properties of Julia sets in a self-contained way. It is accessible to experts and students with interest in theoretical computer science or dynamical systems
Member of
Is Subseries of
http://library.link/vocab/creatorName
Braverman, Mark
Dewey number
514.7420285
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • DwFDFNwyweE
  • E6T-qxIZzmI
Language note
English
LC call number
QA76.9.A43
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Yampolsky, Michael.
Series statement
Algorithms and Computation in Mathematics,
Series volume
23
http://library.link/vocab/subjectName
  • Algorithms
  • Algebra
  • Computer science
  • Information theory
  • Computer software
  • Algorithms
  • Algebra
  • Programming Techniques
  • Theory of Computation
  • Algorithm Analysis and Problem Complexity
  • Mathematics of Computing
Label
Computability of Julia Sets, by Mark Braverman, Michael Yampolsky, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 146-148) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
to Computability -- Dynamics of Rational Mappings -- First Examples -- Positive Results -- Negative Results -- Computability versus Topological Properties of Julia Sets
Dimensions
unknown
Edition
1st ed. 2009.
Extent
1 online resource (160 p.)
Form of item
online
Isbn
9786612006395
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-540-68547-0
Specific material designation
remote
System control number
  • (CKB)1000000000714825
  • (EBL)428998
  • (OCoLC)318545480
  • (SSID)ssj0000127526
  • (PQKBManifestationID)11137083
  • (PQKBTitleCode)TC0000127526
  • (PQKBWorkID)10051653
  • (PQKB)10169752
  • (SSID)ssj0000768933
  • (PQKBManifestationID)12378986
  • (PQKBTitleCode)TC0000768933
  • (PQKBWorkID)10767593
  • (PQKB)10274590
  • (DE-He213)978-3-540-68547-0
  • (MiAaPQ)EBC428998
  • (EXLCZ)991000000000714825
Label
Computability of Julia Sets, by Mark Braverman, Michael Yampolsky, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 146-148) and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
to Computability -- Dynamics of Rational Mappings -- First Examples -- Positive Results -- Negative Results -- Computability versus Topological Properties of Julia Sets
Dimensions
unknown
Edition
1st ed. 2009.
Extent
1 online resource (160 p.)
Form of item
online
Isbn
9786612006395
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-540-68547-0
Specific material designation
remote
System control number
  • (CKB)1000000000714825
  • (EBL)428998
  • (OCoLC)318545480
  • (SSID)ssj0000127526
  • (PQKBManifestationID)11137083
  • (PQKBTitleCode)TC0000127526
  • (PQKBWorkID)10051653
  • (PQKB)10169752
  • (SSID)ssj0000768933
  • (PQKBManifestationID)12378986
  • (PQKBTitleCode)TC0000768933
  • (PQKBWorkID)10767593
  • (PQKB)10274590
  • (DE-He213)978-3-540-68547-0
  • (MiAaPQ)EBC428998
  • (EXLCZ)991000000000714825

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