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Some Novel Types of Fractal Geometry

By Stephen Semmes

Some Novel Types of Fractal Geometry Mathematics

Some Novel Types of Fractal Geometry

0 - Default Title
Description
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.
Product details
Edition:
1
Number of Pages:
176
Release Date:
2001-03-15
Publication Date:
2000-12-28
Publisher:
OUP Oxford
Languages:
Original: English
ISBN10:
0198508069
ISBN13:
9780198508069
GPSR Manufacturer Reference:
[email protected]
Weight:
435 g
Height:
161 cm
Width:
240 cm
Thickness:
14 cm
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