Add to ORKGWe prove that, up to scalar multiples, there exists only one local regular Dirichlet form on a generalized Sierpinski carpet that is invariant with respect to the local symmetries of the carpet. Consequently for each such fractal the law of Brownian motion is uniquely determined and the Laplacian is well defined
Like Brownian motion on d (or equivalently its Laplace operator or its Dirichlet integral) one woul...
I will try to define a non-trivial stochastic process on the Sierpinski gasket by looking at the lim...
This Bachelor's thesis deals with fractals and orbits on Sierpinski carpets. We present the fundamen...
We develop a method to construct diffusions on singular sets. Our method can be applied to various f...
These are supplementary notes for [5]. Theorem 1.3 is a variant of the results in [13] and it gives ...
These are supplementary notes for [5]. Theorem 1.3 is a variant of the results in [13] and it gives ...
This research is motivated by the study of the geometry of fractal sets and is focused on uniformiza...
This research is motivated by the study of the geometry of fractal sets and is focused on uniformiza...
The purpose of this paper is to construct Brownian motion on a reasonably general class of self-simi...
Following the methods used by Barlow and Bass to prove the existence of a diffusion on the Sierpinsk...
Following the methods used by Barlow and Bass to prove the existence of a diffusion on the Sierpinsk...
We construct Brownian motion on a class of fractals which are spatially homogeneous but which do not...
This self-contained book lays the foundations for a systematic understanding of potential theoretic ...
136 pagesWe consider two topics in scaling limits on Sierpi\'nski carpet type fractals. First, we co...
We study three topics in mathematical physics on fractal domains which are based on the Sierpinski c...
Like Brownian motion on d (or equivalently its Laplace operator or its Dirichlet integral) one woul...
I will try to define a non-trivial stochastic process on the Sierpinski gasket by looking at the lim...
This Bachelor's thesis deals with fractals and orbits on Sierpinski carpets. We present the fundamen...
We develop a method to construct diffusions on singular sets. Our method can be applied to various f...
These are supplementary notes for [5]. Theorem 1.3 is a variant of the results in [13] and it gives ...
These are supplementary notes for [5]. Theorem 1.3 is a variant of the results in [13] and it gives ...
This research is motivated by the study of the geometry of fractal sets and is focused on uniformiza...
This research is motivated by the study of the geometry of fractal sets and is focused on uniformiza...
The purpose of this paper is to construct Brownian motion on a reasonably general class of self-simi...
Following the methods used by Barlow and Bass to prove the existence of a diffusion on the Sierpinsk...
Following the methods used by Barlow and Bass to prove the existence of a diffusion on the Sierpinsk...
We construct Brownian motion on a class of fractals which are spatially homogeneous but which do not...
This self-contained book lays the foundations for a systematic understanding of potential theoretic ...
136 pagesWe consider two topics in scaling limits on Sierpi\'nski carpet type fractals. First, we co...
We study three topics in mathematical physics on fractal domains which are based on the Sierpinski c...
Like Brownian motion on d (or equivalently its Laplace operator or its Dirichlet integral) one woul...
I will try to define a non-trivial stochastic process on the Sierpinski gasket by looking at the lim...
This Bachelor's thesis deals with fractals and orbits on Sierpinski carpets. We present the fundamen...