Mathematics of Fractals

American Mathematical Soc., 1997 - 78 páginas
This book aims at providing a handy explanation of the notions behind the self-similar sets called fractals and chaotic dynamical systems. The authors emphasize the beautiful relationship between fractal functions (such as Weierstrass's) and chaotic dynamical systems; these nowhere-differentiable functions are generating functions of chaotic dynamical systems. These functions are shown to be in a sense unique solutions of certain boundary problems. The last chapter of the book treats harmonic functions on fractal sets.

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