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Analysis on Fractals - Kigami, Jun
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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 ...

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Analysis on Fractals 2008, Cambridge University Press, Cambridge

ISBN-13: 9780521057110

Trade paperback

Analysis on Fractals 2001, Cambridge University Press, Cambridge

ISBN-13: 9780521793216

Hardcover