Add to ORKGNon-Gaussian upper and lower bounds are obtained for the transition probabilities of the simple random walk on the Sierpinski graph, the pre-fractal associated with the Sierpinski gasket. They are of the same form as bounds previously obtained for the transition density of Brownian motion on the Sierpinski gasket, subject to a scale restriction. A comparison with transition density bounds for random walks on general graphs demonstrates that this restriction represents the scale at which the pre-fractal graph starts to look like the fractal gasket.Random walk Fractal Transition probability
We study short time asymptotic estimates for the transition probability density of the Brownian moti...
The 6-vertex model is a seminal model for many domains in Mathematics and Physics. The sets of confi...
In the plane, we define a fractal known as the Vicsek snowflake in terms of a family of affine contr...
Non-Gaussian upper and lower bounds are obtained for the transition probabilities of the simple rand...
AbstractNon-Gaussian upper and lower bounds are obtained for the transition probabilities of the sim...
We consider random walks on a class of graphs derived from Sierpinski carpets. We obtain upper and l...
I will try to define a non-trivial stochastic process on the Sierpinski gasket by looking at the lim...
AbstractWe consider a class of random recursive Sierpinski gaskets and examine the short-time asympt...
This paper presents necessary and sufficient conditions for on- and off-diagonal transition probabil...
The paper presents two results. The first one provides separate conditions for the upper and lower e...
We construct Brownian motion on a class of fractals which are spatially homogeneous but which do not...
AbstractThe paper presents two results. The first one provides separate conditions for the upper and...
Abstract. The probability distribution of random walks on one-dimensional fractal structures generat...
In this thesis, we study transition probability estimates for Markov chains and their relationship t...
Random walks (RWs) and related stochastic techniques have become ubiquitous tools in many areas of p...
We study short time asymptotic estimates for the transition probability density of the Brownian moti...
The 6-vertex model is a seminal model for many domains in Mathematics and Physics. The sets of confi...
In the plane, we define a fractal known as the Vicsek snowflake in terms of a family of affine contr...
Non-Gaussian upper and lower bounds are obtained for the transition probabilities of the simple rand...
AbstractNon-Gaussian upper and lower bounds are obtained for the transition probabilities of the sim...
We consider random walks on a class of graphs derived from Sierpinski carpets. We obtain upper and l...
I will try to define a non-trivial stochastic process on the Sierpinski gasket by looking at the lim...
AbstractWe consider a class of random recursive Sierpinski gaskets and examine the short-time asympt...
This paper presents necessary and sufficient conditions for on- and off-diagonal transition probabil...
The paper presents two results. The first one provides separate conditions for the upper and lower e...
We construct Brownian motion on a class of fractals which are spatially homogeneous but which do not...
AbstractThe paper presents two results. The first one provides separate conditions for the upper and...
Abstract. The probability distribution of random walks on one-dimensional fractal structures generat...
In this thesis, we study transition probability estimates for Markov chains and their relationship t...
Random walks (RWs) and related stochastic techniques have become ubiquitous tools in many areas of p...
We study short time asymptotic estimates for the transition probability density of the Brownian moti...
The 6-vertex model is a seminal model for many domains in Mathematics and Physics. The sets of confi...
In the plane, we define a fractal known as the Vicsek snowflake in terms of a family of affine contr...