16 citations · 23 across the 7 of their papers we have counts for
4 papers · 1 filter
Curvatures for unions of WDC sets
Dušan Pokorný
We prove the existence of the curvature measures for a class of sets, which is a direct generalization of sets studied by Rataj and Zähle. More…
On the structure of WDC sets
Dušan Pokorný, Jan Rataj, Luděk Zajíček
WDC sets in were recently defined as sublevel sets of DC functions (differences of convex functions) at weakly regular values. They form a natural and substantial g…
Scaling exponents of curvature measures
Dusan Pokorny, Steffen Winter
Fractal curvatures of a subset F of R^d are roughly defined as suitably rescaled limits of the total curvatures of its parallel sets F_e as e tends to 0 and have been studied in th…
On critical values of self-similar sets
Dusan Pokorny
In the paper we study properties of the set of critical points for self-similar sets. We introduce simple condition that implies at most countably many critical values and we const…