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 first-and second-year 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 first-and second-year 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 fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Conformal-dimension--theory-and-application/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/Conformal-dimension--theory-and-application/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>
