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The Resource Computability of Julia Sets, by Mark Braverman, Michael Yampolsky, (electronic resource)
Computability of Julia Sets, by Mark Braverman, Michael Yampolsky, (electronic resource)
Resource Information
The item Computability of Julia Sets, by Mark Braverman, Michael Yampolsky, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Computability of Julia Sets, by Mark Braverman, Michael Yampolsky, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 Among all computergenerated 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 selfcontained way. It is accessible to experts and students with interest in theoretical computer science or dynamical systems
 Language

 eng
 eng
 Edition
 1st ed. 2009.
 Extent
 1 online resource (160 p.)
 Note
 Description based upon print version of record
 Contents

 to Computability
 Dynamics of Rational Mappings
 First Examples
 Positive Results
 Negative Results
 Computability versus Topological Properties of Julia Sets
 Isbn
 9786612006395
 Label
 Computability of Julia Sets
 Title
 Computability of Julia Sets
 Statement of responsibility
 by Mark Braverman, Michael Yampolsky
 Language

 eng
 eng
 Summary
 Among all computergenerated 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 selfcontained way. It is accessible to experts and students with interest in theoretical computer science or dynamical systems
 http://library.link/vocab/creatorName
 Braverman, Mark
 Dewey number
 514.7420285
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 DwFDFNwyweE
 E6TqxIZzmI
 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)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 146148) 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
 10.1007/9783540685470
 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
 (DEHe213)9783540685470
 (MiAaPQ)EBC428998
 (EXLCZ)991000000000714825
 Label
 Computability of Julia Sets, by Mark Braverman, Michael Yampolsky, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. 146148) 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
 10.1007/9783540685470
 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
 (DEHe213)9783540685470
 (MiAaPQ)EBC428998
 (EXLCZ)991000000000714825
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/ComputabilityofJuliaSetsbyMarkBraverman/op3jmsF6p_c/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/ComputabilityofJuliaSetsbyMarkBraverman/op3jmsF6p_c/">Computability of Julia Sets, by Mark Braverman, Michael Yampolsky, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>