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Beautiful fractals help solve ‘wiggly’ problems     Beautiful fractals  wiggly       font style='font-size:12px;'> 2016/7/4
When Harry Potter first went to Hogwarts, he caught his train from Kings Cross, platform 9¾.The idea of a platform between two whole numbers might seem impossible to imagine. However, for someone...
We develop a new approach to formulate and prove the weak uncertainty inequality which was recently introduced by Okoudjou and Strichartz.We assume either an appropriate measure growth condition with ...
In this paper, we establish an analogue of the classical mean value property for both the harmonic functions and some general functions in the domain of the Laplacian on the Sierpinski gasket. Further...
We present a new approach to the theory of k-forms on self-similar fractals. We work out the details for two examples, the standard Sierpinski gasket and the 3-dimensional Sierpinski gasket, but the m...
Generalized Hyperspaces and Non-Metrizable Fractals     Generalized Hyperspaces  Non-Metrizable Fractals       font style='font-size:12px;'> 2010/11/23
Much of the structure in metric spaces that allows for the creation of fractals exists in more generalized non-metrizable spaces. In particular the same theorems regarding the behavior of compact set...
One of the main features of analysis on post-critically finite self-similar (pcfss) sets is that it is possible to understand the behavior of the Laplacian and its inverse, the Green operator, in te...
For a large class of self-similar random sets F in Rd geometric parameters Ck(F), k = 0, . . . , d, are introduced. They arise as a.s. (average or essential) limits of the volume Cd(F(")), the surface...
Jump processes and nonlinear fractional heat equations on fractals           font style='font-size:12px;'> 2007/7/28
专著信息 书名 Jump processes and nonlinear fractional heat equations on fractals 语种 英文 撰写或编译 作者 Jiaxin Hu,Martina Zaehle 第一作者单位 出版社 Math. Nachr. 279 (2006), 150-163 出版地 出版日期 2006年 月 日 标准书号 介质类型 页数 字数 开本 相关项...

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