The Resource Conformal dimension : theory and application, John M. Mackay, Jeremy T. Tyson
Conformal dimension : theory and application, John M. Mackay, Jeremy T. Tyson
Resource Information
The item Conformal dimension : theory and application, John M. Mackay, Jeremy T. Tyson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Conformal dimension : theory and application, John M. Mackay, Jeremy T. Tyson represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary

 Conformal dimension measures the extent to which the Hausdorff dimension of a metric space can be lowered by quasisymmetric deformations. Introduced by Pansu in 1989, this concept has proved extremely fruitful in a diverse range of areas, including geometric function theory, conformal dynamics, and geometric group theory. 
 This survey leads the reader from the definitions and basic theory through to active research applications in geometric function theory, Gromov hyperbolic geometry, and the dynamics of rational maps, amongst other areas. It reviews the theory of dimension in metric spaces and of deformations of metric spaces. It summarizes the basic tools for estimating conformal dimension and illustrates their application to concrete problems of independent interest. Numerous examples and proofs and provided. 
 Working from basic definitions through to current research areas, this book can be used as a guide for graduate students interested in this field, or as a helpful survey for experts. Background needed for a potential reader of the book consists of a working knowledge of real and complex analysis on the level of firstand secondyear graduate courses. Book Jacket
 Language
 eng
 Extent
 xiii, 143 pages
 Isbn
 9780821852293
 Label
 Conformal dimension : theory and application
 Title
 Conformal dimension
 Title remainder
 theory and application
 Statement of responsibility
 John M. Mackay, Jeremy T. Tyson
 Language
 eng
 Summary

 Conformal dimension measures the extent to which the Hausdorff dimension of a metric space can be lowered by quasisymmetric deformations. Introduced by Pansu in 1989, this concept has proved extremely fruitful in a diverse range of areas, including geometric function theory, conformal dynamics, and geometric group theory. 
 This survey leads the reader from the definitions and basic theory through to active research applications in geometric function theory, Gromov hyperbolic geometry, and the dynamics of rational maps, amongst other areas. It reviews the theory of dimension in metric spaces and of deformations of metric spaces. It summarizes the basic tools for estimating conformal dimension and illustrates their application to concrete problems of independent interest. Numerous examples and proofs and provided. 
 Working from basic definitions through to current research areas, this book can be used as a guide for graduate students interested in this field, or as a helpful survey for experts. Background needed for a potential reader of the book consists of a working knowledge of real and complex analysis on the level of firstand secondyear graduate courses. Book Jacket
 Cataloging source
 DLC
 http://library.link/vocab/creatorDate
 1982
 http://library.link/vocab/creatorName
 Mackay, John M.
 Dewey number
 515/.93
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA360
 LC item number
 .M285 2010
 Literary form
 non fiction
 Nature of contents
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1972
 http://library.link/vocab/relatedWorkOrContributorName
 Tyson, Jeremy T.
 Series statement
 University lecture series
 Series volume
 v. 54
 http://library.link/vocab/subjectName

 Quasiconformal mappings
 Hausdorff measures
 Label
 Conformal dimension : theory and application, John M. Mackay, Jeremy T. Tyson
 Bibliography note
 Includes bibliographical references and index
 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
 609100972
 Dimensions
 26 cm
 Extent
 xiii, 143 pages
 Isbn
 9780821852293
 Isbn Type
 (alk. paper)
 Lccn
 2010014667
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)609100972
 Label
 Conformal dimension : theory and application, John M. Mackay, Jeremy T. Tyson
 Bibliography note
 Includes bibliographical references and index
 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
 609100972
 Dimensions
 26 cm
 Extent
 xiii, 143 pages
 Isbn
 9780821852293
 Isbn Type
 (alk. paper)
 Lccn
 2010014667
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other physical details
 illustrations
 System control number
 (OCoLC)609100972
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Conformaldimensiontheoryandapplication/pkAc1EHB040/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Conformaldimensiontheoryandapplication/pkAc1EHB040/">Conformal dimension : theory and application, John M. Mackay, Jeremy T. Tyson</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>