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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4 papers · 1 filter

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…