Some Novel Types of Fractal Geometry - Couverture rigide

Semmes, Stephen

 
9780198508069: Some Novel Types of Fractal Geometry
Couverture rigide
ISBN 10 : 0198508069 ISBN 13 : 9780198508069
Editeur : Oxford University Press, 2000

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Oxford University Press
Date d'édition
2000
Langue
anglais
ISBN 10 
0198508069
ISBN 13 
9780198508069
Reliure
Relié
Nombre de pages
174
Coordonnées du fabricant
non disponible
Personne responsable
Ufficio Anagrafiche Messaggerie
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