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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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

- M. T. Barlow, M. T. Barlow
- 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

- Martina Zähle
- 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

- Margareta Ahle
- 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

Transition Density Estimates for Diffusion Processes on Post Critically Finite Self-similar Fractals

- B. M. Hambly, T. Kumagai
- 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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