Nicolas Angelini

collaborators

3 papers

math.CA2025

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 $dim_{θ}$ recently introduced by Falconer, Fra…

math.CA2025

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…

math.CA2025

Critical values for Intermediate and Box dimension of projections and other images

Nicolas Angelini, Ursula Molter

Given a compact set $E \subset R^{d}$ we investigate for which values of $m$ we have that $dim_{θ} P_{V} (E) = m$ or $dim_{θ} P_{V} (E) = dim_{θ} E$ for $γ_{d, m} -$ almost all $V \in G (d, m)$ . Ou…