It takes the average reader 2 hours and 24 minutes to read Conformal Dimension by John M. Mackay
Assuming a reading speed of 250 words per minute. Learn more
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.
Conformal Dimension by John M. Mackay is 143 pages long, and a total of 36,179 words.
This makes it 48% the length of the average book. It also has 44% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 3 hours and 17 minutes to read Conformal Dimension aloud.
Conformal Dimension is suitable for students ages 10 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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