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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...
WEAK UNCERTAINTY PRINCIPLE FOR FRACTALS,GRAPHS AND METRIC MEASURE SPACES
Uncertainty principle p.c.f. fractal Heisenberg’s inequality measure metric spaces Poincar′ e inequality self-similar graphs Sierpinski ′ gasket uniform finitely ramified graphs
2015/12/10
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 ...
Mean value properties of harmonic functions on Sierpinski gasket type fractals
Sierpinski gasket Laplacian harmonic function mean value property analysis on fractals
2012/6/27
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...
Hodge-de Rham Theory on Fractal Graphs and Fractals
Analysis on fractals Sierpinski gasket Hodge-deRham theory k-forms harmonic 1-forms fractal graphs
2012/6/25
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
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...
Estimates for the resolvent kernel of the Laplacian on p.c.f. self similar fractals and blowups
resolvent kernel Laplacian on p.c.f. self similar fractals blowups
2010/12/14
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...
Lipschitz-Killing curvatures of self-similar random fractals
self-similar random fractals curvatures Minkowski content
2010/12/15
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...
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
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