44 citations · 175 across the 26 of their papers we have counts for
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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…
Patterns in Random Fractals
Pablo Shmerkin, Ville Suomala
We characterize the existence of certain geometric configurations in the fractal percolation limit set in terms of the almost sure dimension of . Some examples of the config…
Upper Conical density results for general measures on
Marianna Csörnyei, Antti Käenmäki, Tapio Rajala +1
We study conical density properties of general Borel measures on Euclidean spaces. Our results are analogous to the previously known result on the upper density properties of Hausd…
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…
Conical upper density theorems and porosity of measures
Antti Käenmäki, Ville Suomala
We study how measures with finite lower density are distributed around -planes in small balls in . We also discuss relations between conical upper density theo…
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…