Conformal Dimension is popular PDF and ePub book, written by John M. Mackay in 2010, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Conformal Dimension can be Read Online from any device for your convenience.
Conformal Dimension Book PDF 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 are 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.
Detail Book of Conformal Dimension PDF
- Author : John M. Mackay
- Release : 01 October 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821852293
- Genre : Mathematics
- Total Page : 162 pages
- Language : English
- PDF File Size : 19,6 Mb
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