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Conformal Dimension : Theory and App.vol.54 (10 Edition)


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Introduced in 1989, the concept of conformal dimension has proven useful in areas including conformational dynamics, geometric function theory, and geometric group theory. Based on lectures at the University of Illinois at Urbana-Champaign, Mackay and Tyson treat the conformal dimension, which measures the extent to which dimensions of a metric space can be reduced by quasi-symmetric deformations. Their survey covers definitions, classes of mappings between metric spaces, basic theories, tools for establishing lower bounds on conformal dimension, global quasiconformal dimension maps, and research and problem applications. Intended for first- and second-year graduate courses, the text features examples of group boundaries and key proofs (e.g., of Kovalev's theorem). Annotation ©2010 Book News, Inc., Portland, OR (

Product Details

Theory and Application
Mackay, John M.
Tyson, Jeremy T.
Amer Mathematical Society
Hausdorff measures.
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Science and Mathematics » Mathematics » Calculus » General
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Science and Mathematics » Mathematics » General

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