Grigoryan A, Yang M. Determination of the walk dimension of the Sierpinski gasket without using diffusion. JOURNAL OF FRACTAL GEOMETRY. 2018;5(4):419-460.We determine the walk dimension of the Sierpinski gasket without using diffusion. We construct non-local regular Dirichlet forms on the Sierpinski gasket from regular Dirichlet forms on the Sierpinski graph whose suitable boundary is the Sierpinski gasket
We develop a method to construct diffusions on singular sets. Our method can be applied to various f...
The random walk and the self-avoiding walk in finitely ramified fractal spaces have been studied. Th...
We propose a numerical method to approximate the solution of a nonlocal diffusion problem on a gener...
Yang M. Local and Non-Local Dirichlet Forms on the Sierpinski Gasket and the Sierpinski Carpet. Biel...
Abstract. We study a family of self-avoiding walks on the 2- and 3-dimensional Sierpinski gasket, re...
We calculate the spectral dimension of a wide class of tree-like fractals by solving the random walk...
Abstract. We determine the ‘exact Hausdorff dimension ’ for a class of multi-type random constructio...
We determine the `exact Hausdorff dimension\u27 for a class of multi-type random constructions. As a...
We study not necessarily self-similar Dirichlet forms on the Sierpiński gasket that can be describe...
We construct a family of spectral triples for the Sierpinski gasket K. For suitable values of the pa...
We study not necessarily self-similar Dirichlet forms on the Sierpiński gasket that can be describe...
I will try to define a non-trivial stochastic process on the Sierpinski gasket by looking at the lim...
Abstract. We construct a 2-parameter family of spectral triples for the Sierpinski Gasket K. For sui...
We study self-avoiding paths on the three-dimensional pre-Sierpinski gasket. We prove the existence ...
We define a Markov chain on a discrete symbolic space corresponding to the Sierpinski gasket (SG) and...
We develop a method to construct diffusions on singular sets. Our method can be applied to various f...
The random walk and the self-avoiding walk in finitely ramified fractal spaces have been studied. Th...
We propose a numerical method to approximate the solution of a nonlocal diffusion problem on a gener...
Yang M. Local and Non-Local Dirichlet Forms on the Sierpinski Gasket and the Sierpinski Carpet. Biel...
Abstract. We study a family of self-avoiding walks on the 2- and 3-dimensional Sierpinski gasket, re...
We calculate the spectral dimension of a wide class of tree-like fractals by solving the random walk...
Abstract. We determine the ‘exact Hausdorff dimension ’ for a class of multi-type random constructio...
We determine the `exact Hausdorff dimension\u27 for a class of multi-type random constructions. As a...
We study not necessarily self-similar Dirichlet forms on the Sierpiński gasket that can be describe...
We construct a family of spectral triples for the Sierpinski gasket K. For suitable values of the pa...
We study not necessarily self-similar Dirichlet forms on the Sierpiński gasket that can be describe...
I will try to define a non-trivial stochastic process on the Sierpinski gasket by looking at the lim...
Abstract. We construct a 2-parameter family of spectral triples for the Sierpinski Gasket K. For sui...
We study self-avoiding paths on the three-dimensional pre-Sierpinski gasket. We prove the existence ...
We define a Markov chain on a discrete symbolic space corresponding to the Sierpinski gasket (SG) and...
We develop a method to construct diffusions on singular sets. Our method can be applied to various f...
The random walk and the self-avoiding walk in finitely ramified fractal spaces have been studied. Th...
We propose a numerical method to approximate the solution of a nonlocal diffusion problem on a gener...