Add to ORKGWe consider random fractals generated by random recursive constructions, prove zero-one laws concerning their dimensions and find their packing and Minkowski dimensions. Also we investigate the packing measure in corresponding dimension. For a class of random distribution functions we prove that their packing and Hausdorff dimensions coincide
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
dissertationRandom fractals are sets generated by random processes that exhibit fractal properties. ...
We consider random fractal sets with random recursive constructions in which the contracting vectors...
Abstract. We explore the exact packing dimension of certain random recursive construc-tions. In case...
This thesis is structured as follows. Chapter 1 introduces fractal sets before recalling basic math...
AbstractThis paper studies the Hausdorff dimensions of random non-self-similar fractals. Here, we ob...
We weaken the open set condition and define a finite intersection property in the construction of th...
We weaken the open set condition and define a finite intersection property in the con-struction of t...
The (constructive Hausdorff) dimension of a point x in Euclidean space is the algorithmic informati...
We characterize the existence of certain geometric configurations in the fractal percolation limit s...
We prove preservation of L q dimensions (for 1 < q ≤ 2) under all orthogonal projections for a class...
We define a class of random measures, spatially independent martingales, which we view as a natural ...
JMF was financially supported by the EPSRC grant EP/J013560/1 whilst employed at the University of W...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...
dissertationRandom fractals are sets generated by random processes that exhibit fractal properties. ...
We consider random fractal sets with random recursive constructions in which the contracting vectors...
Abstract. We explore the exact packing dimension of certain random recursive construc-tions. In case...
This thesis is structured as follows. Chapter 1 introduces fractal sets before recalling basic math...
AbstractThis paper studies the Hausdorff dimensions of random non-self-similar fractals. Here, we ob...
We weaken the open set condition and define a finite intersection property in the construction of th...
We weaken the open set condition and define a finite intersection property in the con-struction of t...
The (constructive Hausdorff) dimension of a point x in Euclidean space is the algorithmic informati...
We characterize the existence of certain geometric configurations in the fractal percolation limit s...
We prove preservation of L q dimensions (for 1 < q ≤ 2) under all orthogonal projections for a class...
We define a class of random measures, spatially independent martingales, which we view as a natural ...
JMF was financially supported by the EPSRC grant EP/J013560/1 whilst employed at the University of W...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
Master of ScienceDepartment of MathematicsHrant HakobyanWhen studying geometrical objects less regul...
Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic ...