Nicolas Angelini

activity

20242026

most citedCritical values for Intermediate and Box dimension of projections and other images

3 citations · 4 across the 7 of their papers we have counts for

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5 papers · 1 filter

math.CA2026

Full packing dimensional projections of measures

Nicolas Angelini

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

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★ 1 cited

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★ 3 cited

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…

math.CA2024

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…