Analysis on Fractals

Zusammenfassung A self-contained introduction to analysis on fractals! a developing area of mathematics which focuses on the dynamical aspects of fractals. Suitable for graduate students and researchers in analysis and probability theory. Also useful as a supplementary text for graduate courses covering fractals! for both mathematicians and physicists. Inhaltsverzeichnis Introduction; 1. Geometry of self-similar sets; 2. Analysis on limits of networks; 3. Construction of Laplacians on P. C. F. self-similar structures; 4. Eigenvalues and eigenfunctions of Laplacians; 5. Heat kernels; Appendix A: Additional fact; Appendix B: Mathematical backgrounds; Bibliography; List of notations; Index.

Product details

• Authors: Jun Kigami, Jun (Kyoto University Kigami
• Assisted by: Bela Bollobas (Editor), W. Fulton (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 07.06.2001
• EAN: 9780521793216
• ISBN: 978-0-521-79321-6
• No. of pages: 236
• Series: Cambridge Tracts in Mathematic; Cambridge Tracts in Mathematic
• Subject: Natural sciences, medicine, IT, technology > Mathematics