We develop a method to construct diffusions on singular sets. Our method can be applied to various fractal sets including Sierpinski carpets, the Sierpinski gasket and the Menger sponge
We prove that, up to scalar multiples, there exists only one local regular Dirichlet form on a gener...
The purpose of this paper is to construct Brownian motion on a reasonably general class of self-simi...
The purpose of this research is to investigate properties of diffusion processes in porous media. Po...
We construct Brownian motion on a class of fractals which are spatially homogeneous but which do not...
I will try to define a non-trivial stochastic process on the Sierpinski gasket by looking at the lim...
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...
In the plane, we define a fractal known as the Vicsek snowflake in terms of a family of affine contr...
The Sierpinski gasket is known to support an exotic stochastic process called the asymptotically one...
AbstractIn the plane, we define a fractal known as the Vicsek snowflake in terms of a family of affi...
A fractal field is a collection of fractals with, in general, different Hausdorff dimensions, embedd...
A fractal field is a collection of fractals with, in general, different Hausdorff dimensions, embedd...
Following the methods used by Barlow and Bass to prove the existence of a diffusion on the Sierpinsk...
Stochastic analysis on fractals is, as one might expect, a subfield of analysis on fractals. An intu...
Stochastic analysis on fractals is, as one might expect, a subfield of analysis on fractals. An intu...
We prove that, up to scalar multiples, there exists only one local regular Dirichlet form on a gener...
The purpose of this paper is to construct Brownian motion on a reasonably general class of self-simi...
The purpose of this research is to investigate properties of diffusion processes in porous media. Po...
We construct Brownian motion on a class of fractals which are spatially homogeneous but which do not...
I will try to define a non-trivial stochastic process on the Sierpinski gasket by looking at the lim...
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...
In the plane, we define a fractal known as the Vicsek snowflake in terms of a family of affine contr...
The Sierpinski gasket is known to support an exotic stochastic process called the asymptotically one...
AbstractIn the plane, we define a fractal known as the Vicsek snowflake in terms of a family of affi...
A fractal field is a collection of fractals with, in general, different Hausdorff dimensions, embedd...
A fractal field is a collection of fractals with, in general, different Hausdorff dimensions, embedd...
Following the methods used by Barlow and Bass to prove the existence of a diffusion on the Sierpinsk...
Stochastic analysis on fractals is, as one might expect, a subfield of analysis on fractals. An intu...
Stochastic analysis on fractals is, as one might expect, a subfield of analysis on fractals. An intu...
We prove that, up to scalar multiples, there exists only one local regular Dirichlet form on a gener...
The purpose of this paper is to construct Brownian motion on a reasonably general class of self-simi...
The purpose of this research is to investigate properties of diffusion processes in porous media. Po...
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