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

collaborators

9 papers

math.CA2026

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 $1$ . Cutting out of the unit interval disjoint open gaps of lengths $a_{1}, a_{2}, \dots$ , one for each t…

math.DS2026

Packing intermediate dimensions of measures and applications

Nicolas Angelini

We introduce a spectrum of dimensions of measures, the \emph{packing intermediate dimensions} $dim_{P, θ} μ$ , $θ \in (0, 1]$ , of a Borel probability measure $μ$ on $R^{n}$ and t…

math.PR2026

A threshold for full packing dimension of Hölder images of sets and measures

Nicolas Angelini

We study when the image of a measure under a random Hölder map attains full packing dimension. Our main tool is a family of packing intermediate dimension profiles $\dim_{P,θ}^{s}μ…

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.NT2025

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★ 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…