Add to ORKGWe study not necessarily self-similar Dirichlet forms on the Sierpiński gasket that can be described as limits of compatible resistance networks on the sequence of graphs approximating the gasket. We describe the compatibility conditions in detail, and we also present an alternative description, based on just 3 conductance values and the 3-dimensional space of harmonic functions. In addition, we show how to parameterize all the Dirichlet forms by a set of independent variables. 1
We provide a definition of the integral, along paths in the Sierpinski gasket K, for differential sm...
We study the extension problem on the Sierpinski Gasket (SG). In the first part we con-sider minimiz...
Relations that characterize the Dirichlet to Neumann map for a cubic network of resistors are given....
We study not necessarily self-similar Dirichlet forms on the Sierpiński gasket that can be describe...
AbstractThe main purpose of this paper is to give a general framework to analysis on fractals includ...
We consider post-critically finite self-similar fractals with regular harmonic structures. We first ...
Abstract. In this paper we consider post-critically finite self-similar fractals with regular harmon...
This paper concerns the existence and uniqueness of solutions to the Dirich-let problem for in¯nite ...
Grigoryan A, Yang M. Determination of the walk dimension of the Sierpinski gasket without using diff...
J. Kigami has laid the foundations of what is now known as analysis on fractals, by allowing the con...
We provide a definition of the integral, along paths in the Sierpinski gasket K, for differential sm...
Abstract. We provide a definition of integral, along paths in the Sierpinski gasket K, for different...
We confirm, in a more general framework, a part of the conjecture posed by R. Bell, C.-W. Ho, and R....
Yang M. Local and Non-Local Dirichlet Forms on the Sierpinski Gasket and the Sierpinski Carpet. Biel...
We show that it is possible to define a notion of p-energy for functions defined on a class of fract...
We provide a definition of the integral, along paths in the Sierpinski gasket K, for differential sm...
We study the extension problem on the Sierpinski Gasket (SG). In the first part we con-sider minimiz...
Relations that characterize the Dirichlet to Neumann map for a cubic network of resistors are given....
We study not necessarily self-similar Dirichlet forms on the Sierpiński gasket that can be describe...
AbstractThe main purpose of this paper is to give a general framework to analysis on fractals includ...
We consider post-critically finite self-similar fractals with regular harmonic structures. We first ...
Abstract. In this paper we consider post-critically finite self-similar fractals with regular harmon...
This paper concerns the existence and uniqueness of solutions to the Dirich-let problem for in¯nite ...
Grigoryan A, Yang M. Determination of the walk dimension of the Sierpinski gasket without using diff...
J. Kigami has laid the foundations of what is now known as analysis on fractals, by allowing the con...
We provide a definition of the integral, along paths in the Sierpinski gasket K, for differential sm...
Abstract. We provide a definition of integral, along paths in the Sierpinski gasket K, for different...
We confirm, in a more general framework, a part of the conjecture posed by R. Bell, C.-W. Ho, and R....
Yang M. Local and Non-Local Dirichlet Forms on the Sierpinski Gasket and the Sierpinski Carpet. Biel...
We show that it is possible to define a notion of p-energy for functions defined on a class of fract...
We provide a definition of the integral, along paths in the Sierpinski gasket K, for differential sm...
We study the extension problem on the Sierpinski Gasket (SG). In the first part we con-sider minimiz...
Relations that characterize the Dirichlet to Neumann map for a cubic network of resistors are given....