Add to ORKGWe define a Markov chain on a discrete symbolic space corresponding to the Sierpinski gasket (SG) and show that its Martin boundary is homeomorphic to the SG, while the minimal Martin boundary can be identified with the three vertices of the SG. Moreover, we show that the harmonic functions coincide with the standard ones. We also consider generalizations to a larger class of p.c.f. fractals. This is a joint work with Ka-Sing Lau
We construct Brownian motion on a class of fractals which are spatially homogeneous but which do not...
This thesis consists of three papers, all of them on the topic of function spaces on fractals. The p...
I will try to define a non-trivial stochastic process on the Sierpinski gasket by looking at the lim...
We define a new Markov chain on the symbolic space representing the Sierpinski gasket (SG), and show...
We prove that for a certain Markov chain on the symbolic space of the Hata tree K, the Martin bounda...
A uniformly John domain is a domain intermediate between a John domain and a uniform domain. We dete...
We show that it is possible to define a notion of p-energy for functions defined on a class of fract...
In this thesis we study non-linear dynamical systems on complex domains. Although the systems we con...
The Sierpiński fractal or Sierpiński gasket ∈ is a familiar object studied by specialists in dynamic...
In this paper,we extend some results from the standard Laplacian on the Sierpinski Gasket to the ene...
AbstractFor a class of fractals that includes the familiar Sierpinski gasket, there is now a theory ...
In 1989 Jun Kigami made an analytic construction of a Laplacian on the Sierpiński gasket, a construc...
Abstract. This article develops analysis on fractal 3N-gaskets, a class of post-critically finite fr...
We study the spectral properties of the Laplacian on infinite Sierpin ski gaskets. We prove that th...
For a class of fractals that includes the familiar Sierpinski gasket, there is now a theory involvin...
We construct Brownian motion on a class of fractals which are spatially homogeneous but which do not...
This thesis consists of three papers, all of them on the topic of function spaces on fractals. The p...
I will try to define a non-trivial stochastic process on the Sierpinski gasket by looking at the lim...
We define a new Markov chain on the symbolic space representing the Sierpinski gasket (SG), and show...
We prove that for a certain Markov chain on the symbolic space of the Hata tree K, the Martin bounda...
A uniformly John domain is a domain intermediate between a John domain and a uniform domain. We dete...
We show that it is possible to define a notion of p-energy for functions defined on a class of fract...
In this thesis we study non-linear dynamical systems on complex domains. Although the systems we con...
The Sierpiński fractal or Sierpiński gasket ∈ is a familiar object studied by specialists in dynamic...
In this paper,we extend some results from the standard Laplacian on the Sierpinski Gasket to the ene...
AbstractFor a class of fractals that includes the familiar Sierpinski gasket, there is now a theory ...
In 1989 Jun Kigami made an analytic construction of a Laplacian on the Sierpiński gasket, a construc...
Abstract. This article develops analysis on fractal 3N-gaskets, a class of post-critically finite fr...
We study the spectral properties of the Laplacian on infinite Sierpin ski gaskets. We prove that th...
For a class of fractals that includes the familiar Sierpinski gasket, there is now a theory involvin...
We construct Brownian motion on a class of fractals which are spatially homogeneous but which do not...
This thesis consists of three papers, all of them on the topic of function spaces on fractals. The p...
I will try to define a non-trivial stochastic process on the Sierpinski gasket by looking at the lim...