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Jun Kigami has written 4 work(s)

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Product Description: This book covers analysis on fractals, a developing area of mathematics that 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...read more

Hardcover:

9780521793216 | Cambridge Univ Pr, June 1, 2001, cover price $134.99 |

*About this edition:*This book covers analysis on fractals, a developing area of mathematics that focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure.Paperback:

9780521057110 | Cambridge Univ Pr, March 1, 2008, cover price $69.99 |

*About this edition:*This book covers analysis on fractals, a developing area of mathematics that focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure.Product Description: 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') and chaotic dynamical systems; these nowhere-differentiable functions are generating functions of chaotic dynamical systems...read more

Hardcover:

9780821805374 | Amer Mathematical Society, November 1, 1997, cover price $50.00 |

*About this edition:*This book aims at providing a handy explanation of the notions behind the self-similar sets called 'fractals' and 'chaotic dynamical systems'.Paperback:

9780821852996 | Amer Mathematical Society, March 15, 2012, cover price $71.00

Product Description: This paper studies the following three problems: when does a measure on a self-similar set have the volume doubling property with respect to a given distance? Is there any distance on a self-similar set under which the contraction mappings have the prescribed values of contractions ratios? And when does a heat kernel on a self-similar set associated with a self-similar Dirichlet form satisfy the Li-Yau type sub-Gaussian diagonal estimate? These three problems turn out to be closely related...read more

Paperback:

9780821842928 | Amer Mathematical Society, May 15, 2009, cover price $69.00 |

*About this edition:*This paper studies the following three problems: when does a measure on a self-similar set have the volume doubling property with respect to a given distance?
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