4 citations · 15 across the 8 of their papers we have counts for
10 papers
Ekström-Persson conjecture regarding random covering sets
Esa Järvenpää, Maarit Järvenpää, Markus Myllyoja +1
We consider the Hausdorff dimension of random covering sets generated by balls and general measures in Euclidean spaces. We prove, for a certain parameter range, a conjecture by Ek…
On dimensions of visible parts of self-similar sets with finite rotation groups
Esa Järvenpää, Maarit Järvenpää, Ville Suomala +1
We derive an upper bound for the Assouad dimension of visible parts of self-similar sets generated by iterated function systems with finite rotation groups and satisfying the open…
Fractal percolation is unrectifiable
Zoltán Buczolich, Esa Järvenpää, Maarit Järvenpää +2
We show that there exists (depending on the parameters) such that the fractal percolation is almost surely purely -unrectifiable for all .
Hausdorff dimension of limsup sets of rectangles in the Heisenberg group
Fredrik Ekström, Esa Järvenpää, Maarit Järvenpää
The almost sure value of the Hausdorff dimension of limsup sets generated by randomly distributed rectangles in the Heisenberg group is computed in terms of directed singular value…
Hausdorff dimension of limsup sets of random rectangles in products of regular spaces
Fredrik Ekström, Esa Järvenpää, Maarit Järvenpää +1
The almost sure Hausdorff dimension of the limsup set of randomly distributed rectangles in a product of Ahlfors regular metric spaces is computed in terms of the singular value fu…
Asymptotically sharp dimension estimates for -porous sets
Esa Järvenpää, Maarit Järvenpää, Antti Käenmäki +1
In , we establish an asymptotically sharp upper bound for the upper Minkowski dimension of -porous sets having holes of certain size near every point in orthog…
Hitting probabilities of random covering sets in tori and metric spaces
Esa Järvenpää, Maarit Järvenpää, Henna Koivusalo +3
We provide sharp lower and upper bounds for the Hausdorff dimension of the intersection of a typical random covering set with a fixed analytic set both in Ahlfors regular metric sp…
Dimensions of random covering sets in Riemann manifolds
De-Jun Feng, Esa Järvenpää, Maarit Järvenpää +1
Let , and be -dimensional Riemann manifolds. Assume that is a sequence of Lebesgue measurable subsets of ${\pmb M…
Hausdorff dimension of affine random covering sets in torus
Esa Järvenpää, Maarit Järvenpää, Henna Koivusalo +2
We calculate the almost sure Hausdorff dimension of the random covering set in -dimensional torus , where the sets $g_n\subset\mat…
On the Fractal Dimension of the Visible Universe
Jean-Pierre Eckmann, Esa Järvenpää, Maarit Järvenpää +1
Estimates of the fractal dimension of the set of galaxies in the universe, based on ever improving data sets, tend to settle on . This result raised a raging debate…