Add to ORKGWe weaken the open set condition and define a finite intersection property in the con-struction of the random recursive sets. We prove that this larger class of random sets are fractals in the sense of Taylor, and give conditions when these sets have positive and finite Hausdorff measures, which in certain extent generalize some of the known results, about random recursive fractals. 2000 Mathematics Subject Classification: 60D05, 28A80
We show that in $\mathbb{R}^d$ there are purely unrectifiable sets of Hausdorff (and even box counti...
We prove bounds for the almost sure value of the Hausdorff dimension of the limsup set of a sequence...
We consider random recursive fractals and prove fine results about their local behaviour. We show th...
We weaken the open set condition and define a finite intersection property in the con-struction of t...
We weaken the open set condition and define a finite intersection property in the construction of th...
Fractal subsets of Rn with highly regular structure are often constructed as a limit of a recursive ...
In this paper, we present a second partial solution for the problem of cardinality calculation of th...
Abstract. We determine the constructive dimension of points in random translates of the Cantor set. ...
Abstract. The purpose of this note is to calculate the almost sure Hausdorff dimension of uniformly ...
We consider random fractal sets with random recursive constructions in which the contracting vectors...
AbstractThis paper studies the Hausdorff dimensions of random non-self-similar fractals. Here, we ob...
Fractal sets are irregular sets, exhibiting interesting properties. Some well-known fractal sets are...
The authors define a class of random measures, spatially independent martingales, which we view as a...
We calculate the almost sure Hausdorff dimension for a general class of random affine planar code t...
Abstract We characterize the existence of certain geometric configurations in the fractal percolati...
We show that in $\mathbb{R}^d$ there are purely unrectifiable sets of Hausdorff (and even box counti...
We prove bounds for the almost sure value of the Hausdorff dimension of the limsup set of a sequence...
We consider random recursive fractals and prove fine results about their local behaviour. We show th...
We weaken the open set condition and define a finite intersection property in the con-struction of t...
We weaken the open set condition and define a finite intersection property in the construction of th...
Fractal subsets of Rn with highly regular structure are often constructed as a limit of a recursive ...
In this paper, we present a second partial solution for the problem of cardinality calculation of th...
Abstract. We determine the constructive dimension of points in random translates of the Cantor set. ...
Abstract. The purpose of this note is to calculate the almost sure Hausdorff dimension of uniformly ...
We consider random fractal sets with random recursive constructions in which the contracting vectors...
AbstractThis paper studies the Hausdorff dimensions of random non-self-similar fractals. Here, we ob...
Fractal sets are irregular sets, exhibiting interesting properties. Some well-known fractal sets are...
The authors define a class of random measures, spatially independent martingales, which we view as a...
We calculate the almost sure Hausdorff dimension for a general class of random affine planar code t...
Abstract We characterize the existence of certain geometric configurations in the fractal percolati...
We show that in $\mathbb{R}^d$ there are purely unrectifiable sets of Hausdorff (and even box counti...
We prove bounds for the almost sure value of the Hausdorff dimension of the limsup set of a sequence...
We consider random recursive fractals and prove fine results about their local behaviour. We show th...
