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Can I read Fractional Perimeters from a Fractal Perspective on EtoBox?
Fractional Perimeters from a Fractal Perspective by Luca Lombardini is a Mathematics article available to read on EtoBox.
What is Fractional Perimeters from a Fractal Perspective about?
we exploit these fractional perimeters to introduce a definition of fractal dimension for the measure theoretic boundary of a set. We calculate the fractal dimension of sets which can be defined in a recursive way, and we give some examples of this kind of sets, explaining how to construct them starting from well-known self-similar fractals. In particular, we show that in the case of the von Koch snowflake S ⊆ R 2 this fractal dimension coincides with the Minkowski dimension. We also obtain an optimal result for the asymptotics as s → 1 -of the fractional perimeter of a set having locally finite (classical) perimeter.
Who reads Fractional Perimeters from a Fractal Perspective?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Luca Lombardini
- Publisher
- Walter de Gruyter GmbH
- Published
- 2018
- Language
- EN
- Field
- Mathematics (Physical Sciences)