Some Novel Types of Fractal Geometry (Oxford Mathematical Monographs) - Hardcover

Semmes, Stephen

 
9780198508069: Some Novel Types of Fractal Geometry (Oxford Mathematical Monographs)
Hardcover
ISBN 10: 0198508069 ISBN 13: 9780198508069
Verlag: Oxford University Press, 2001

Inhaltsangabe

The present book deals with fractal geometries which have features similar to ones of ordinary Euclidean spaces, while at the same time being quite different from Euclidean spaces in other ways. A basic type of feature being considered is the presence of Sobolev or Poincaré inequalities, concerning the relationship between the average behaviour of a function and the average behaviour of its small-scale oscillations. Remarkable results in the last few years of Bourdon-Pajot and Laakso have shown that there is much more in the way of geometries like this than has been realized. Examples related to nilpotent Lie groups and Carnot metrics were known previously. On the other hand, 'typical' fractals that might be seen in pictures do not have these same kinds of features. 'Some Novel Types of Fractal Geometry' will be of interest to graduate students and researchers in mathematics, working in various aspects of geometry and analysis.

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Über die Autorin bzw. den Autor

Professor Stephen Semmes, Mathematics Department, Rice University, Houston.

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Verlag
Oxford University Press
Erscheinungsdatum
2001
Sprache
Englisch
ISBN 10 
0198508069
ISBN 13 
9780198508069
Einband
Gebundene Ausgabe
Anzahl der Seiten
176
Kontakt zum Hersteller
preigu GmbH & Co. KG
mail@preigu.de

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