3 citations · 4 across the 4 of their papers we have counts for
5 papers
Same Gaps, Different Sets: A Survey on Complimentary sets and their Dimensions
Nicolás Angelini, Carlos Cabrelli, Ursula Molter
Let a=\{a_n\} be a non-increasing sequence of positive real numbers adding up to . Cutting out of the unit interval disjoint open gaps of lengths , one for each t…
Two-Scale Frostman Measures
Nicolas Angelini, Ursula Molter
We establish a unified Frostman-type framework connecting the classical Hausdorff dimension with the family of intermediate dimensions recently introduced by Falconer, Fra…
Intermediate dimensions of measures: Interpolating between Hausdorff and Minkowski dimensions
Nicolas E. Angelini, Ursula M. Molter, Jose M. Tejada
In this paper, we define a family of dimensions for Borel measures that lie between the Hausdorff and Minkowski dimensions for measures, analogous to the intermediate dimensions of…
Critical values for Intermediate and Box dimension of projections and other images
Nicolas Angelini, Ursula Molter
Given a compact set we investigate for which values of we have that or for almost all . Ou…
Intermediate dimensions of complementary sets
Nicolas Angelini, Ursula Molter
Given a positive, non-increasing sequence with finite sum equal to , we consider the family of all closed subsets of whose complementary open intervals have lengths…