This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals.
| ISBN: | 9780521057110 |
| Publication date: | 1st March 2008 |
| Author: | Jun Kyoto University, Japan Kigami |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 236 pages |
| Series: | Cambridge Tracts in Mathematics |
| Genres: |
Analytic topology Calculus and mathematical analysis |