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<図書>
Conformal dimension : theory and application

責任表示 John M. Mackay, Jeremy T. Tyson
シリーズ University lecture series ; v. 54
データ種別 図書
出版情報 Providence, R.I. : American Mathematical Society , c2010
本文言語 英語
大きさ xiii, 143 p. : ill. ; 26 cm
概要 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 Uni...ersity 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 (booknews.com) 続きを見る
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所蔵情報



理系図3F 数理独自 MACK/27/1 2010
033212010002096

書誌詳細

一般注記 Includes bibliographical references and index
著者標目 *Mackay, John M., 1982-
Tyson, Jeremy T., 1972-
件 名 LCSH:Quasiconformal mappings
LCSH:Hausdorff measures
分 類 LCC:QA360
DC22:515/.93
書誌ID 1001425693
ISBN 9780821852293
NCID BB02599680
巻冊次 ISBN:9780821852293
登録日 2010.07.22
更新日 2017.02.18