16 citations · 22 across the 3 of their papers we have counts for
4 papers
Singular substitutions of constant length
Artemi Berlinkov, Boris Solomyak
We consider primitive aperiodic substitutions of constant length q and prove that, in order to have a Lebesgue component in the spectrum of the associated dynamical system, it is n…
Exact packing dimension of random self-similar sests
Artemi Berlinkov
We extend the results previously published on exact packing dimensions of random recursive constructions to include constructions satisfying commonly occurring conditions. We remov…
Porosities of Mandelbrot Percolation
Artemi Berlinkov, Esa Järvenpää
We study porosities in the Mandelbrot percolation process. We show that, almost surely at almost all points with respect to the natural measure, the mean porosities of the set and…
On random fractals with infinite branching: definition, measurability, dimensions
Artemi Berlinkov
We discuss the definition and measurability questions of random fractals and find under certain conditions a formula for upper and lower Minkowski dimensions. For the case of a ran…