Conformal dimension

Conformal dimension: theory and application

by Mackay, John M.

Type Book
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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 dy…

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Title Statements

  • Full title :Conformal dimension : theory and application / John M. Mackay, Jeremy T. Tyson.

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.

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Edition Statements

  • Publication Date:©2010.

Publication Statements

The Physical Object

  • Description:1 online resource (xiii, 143 pages) : : illustrations

Edition Identifiers

  • ISBN:9781470416492, 1470416492
  • oclc:ocn934424638
  • LC Classification:QA360
  • Dewey Decimal:515/.93

Subjects

Applications quasi conformes Hausdorff measures Mesures de Hausdorff Quasiconformal mappings

Writers

Mackay, John M. Tyson, Jeremy T.

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