44 citations · 59 across the 6 of their papers we have counts for
13 papers
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…
Packing dimension and Ahlfors regularity of porous sets in metric spaces
Esa Järvenpää, Maarit Järvenpää, Antti Käenmäki +3
Let be a metric measure space with an -regular measure . We prove that if is -porous, then where $\dim_{\math…
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…
Random affine code tree fractals: Hausdorff and affinity dimensions and pressure
Esa Järvenpää, Maarit Järvenpää, Meng Wu +1
We prove that for random affine code tree fractals the affinity dimension is almost surely equal to the unique zero of the pressure function. As a consequence, we show that the Hau…
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…