Analysis on fractals

Known as: Calculus on fractals 
Analysis on fractals or calculus on fractals is a generalization of calculus on smooth manifolds to calculus on fractals. The theory describes… (More)
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Topic mentions per year

Topic mentions per year

1998-2017
012319982017

Papers overview

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2017
2017
We discuss several open problems related to analysis on fractals: estimates of the Green functions, the growth rates of the… (More)
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2015
2015
We construct Dirac operators and spectral triples for certain, not necessarily selfsimilar, fractal sets built on curves. Connes… (More)
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2012
2012
This paper investigates the fractals generated by the dynamical system of intuitionistic fuzzy contractions in the intuitionistic… (More)
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Review
2012
Review
2012
The ‘analysis on fractals’ and ‘analysis on metric spaces’ communities have tended to work independently. Metric spaces such as… (More)
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2008
2008
“Fractal” is a word invented by French mathematician B.B. Mandelbrot around 1970s. He claimed that many patterns of Nature, such… (More)
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2005
2005
We describe relation between analysis on fractals and the theory of self-similar groups. In particular, we focus on the… (More)
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2004
2004
Riesz potentials of fractal measures μ in metric spaces and their inverses are introduced . They define self–adjoint operators in… (More)
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2002
2002
We introduce two new techniques to the analysis on fractals. One is based on the presentation of the fractal as the boundary of a… (More)
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2000
2000
Riesz potentials and Laplacian of fractal measures in metric spaces are introduced. They deene self{adjoint operators in the… (More)
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1999
1999
The recent development of analysis on fractal spaces is physically motivated by the study of diffusion in disordered media. The… (More)
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