An explicit formula for the spectral dimension of the Sierpinski type fractal family studied by Borjan et al (1987) is obtained using the method of images. For large values of their parameter b, the spectral dimension d(b)=2-(log log b)/log b+terms of order (1/log b)
In a previous paper we introduced a new `dimension spectrum', motivated by the Assouad dimension, de...
The Laplacian operator is a central object of fractal analysis. It has been shown that the Laplacian...
Abstract. A spectral reformulation of the Riemann hypothesis was obtained in [LaMa2] by the second a...
Abstract. We construct a 2-parameter family of spectral triples for the Sierpinski Gasket K. For sui...
We construct a family of spectral triples for the Sierpinski gasket K. For suitable values of the pa...
The method of spectral decimation is applied to an infinite collection of self–similar fractals. The...
The family of V -variable fractals provides a means of interpolating between two families of random ...
Fractal sets are sets that show self-similarity meaning that if one zooms in on some part of the fra...
We generalize the construction of the ordinary Sierpinski triangle to obtain a two-parameter family ...
This research article deals with the fractal interpolation function and its box dimension correspond...
We discuss quantitative estimates of the local spectral dimension of the two-dimensional Sierpinski ...
We provide a solution to the conjecture of Ref. 1 on the global minimal fractal dimension of Sierpin...
We relate the fractal dimension of the backbone, and the spectral dimension of Eden trees to the dyn...
Fractal structures have been associated with scaling properties of many physical systems. On the bas...
The density of states and the nature of the eigenmodes of the vibrating d-dimensional Sierpinski ga...
In a previous paper we introduced a new `dimension spectrum', motivated by the Assouad dimension, de...
The Laplacian operator is a central object of fractal analysis. It has been shown that the Laplacian...
Abstract. A spectral reformulation of the Riemann hypothesis was obtained in [LaMa2] by the second a...
Abstract. We construct a 2-parameter family of spectral triples for the Sierpinski Gasket K. For sui...
We construct a family of spectral triples for the Sierpinski gasket K. For suitable values of the pa...
The method of spectral decimation is applied to an infinite collection of self–similar fractals. The...
The family of V -variable fractals provides a means of interpolating between two families of random ...
Fractal sets are sets that show self-similarity meaning that if one zooms in on some part of the fra...
We generalize the construction of the ordinary Sierpinski triangle to obtain a two-parameter family ...
This research article deals with the fractal interpolation function and its box dimension correspond...
We discuss quantitative estimates of the local spectral dimension of the two-dimensional Sierpinski ...
We provide a solution to the conjecture of Ref. 1 on the global minimal fractal dimension of Sierpin...
We relate the fractal dimension of the backbone, and the spectral dimension of Eden trees to the dyn...
Fractal structures have been associated with scaling properties of many physical systems. On the bas...
The density of states and the nature of the eigenmodes of the vibrating d-dimensional Sierpinski ga...
In a previous paper we introduced a new `dimension spectrum', motivated by the Assouad dimension, de...
The Laplacian operator is a central object of fractal analysis. It has been shown that the Laplacian...
Abstract. A spectral reformulation of the Riemann hypothesis was obtained in [LaMa2] by the second a...
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