Nicolas Angelini

collaborators

6 papers

math.CA2026

Full packing dimensional projections of measures

Nicolas Angelini

We introduce a threshold parameter $D (I^¼)$ for a Borel probability measure $I^¼$ with compact support $E \subset R^{n}$ such that, for every integer $1 \leq m \leq n$ , the orthog…

math.NT2026

Generalized Hausdorff dimension of irrationals with Lagrange value exactly 3

Carlos Gustavo Moreira, Harold Erazo, Nicolas Angelini

We study the generalized Hausdorff dimension of some natural subsets of $k^{- 1} (3)$ , where $k^{- 1} (3)$ consists of the real numbers $x$ for which $\left| x-\frac{p}{q} \right|<\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

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 $dim_{I^} ¸$ recently introduced by Falconer, Fr…

math.CA2025

Intermediate dimensions of complementary sets

Nicolas Angelini, Ursula Molter

Given a positive, non-increasing sequence $a$ with finite sum equal to $1$ , we consider the family of all closed subsets of $[0, 1]$ whose complementary open intervals have lengths…

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 $dim_{I^} ¸ P_{V} (E) = m$ or $dim_{I^} ¸ P_{V} (E) = dim_{I^} ¸ E$ for $I^_{d, m}^{3} -$ almost all $V \in G (d, m)$ …