Riccardo W. Maffucci

activity

20162026

3

-polytopes of radius one with unique realisation

3 citations · 5 across the 23 of their papers we have counts for

collaborators

Showing 2021Show all

5 papers · 1 filter

math.PR2021★ 1 cited

Asymptotic distribution of Nodal Intersections for ARW against a Surface

Riccardo W. Maffucci, Maurizia Rossi

We investigate Gaussian Laplacian eigenfunctions (Arithmetic Random Waves) on the three-dimensional standard flat torus, in particular the asymptotic distribution of the nodal inte…

math.CO2021

Self-dual polyhedra of given degree sequence

Riccardo W. Maffucci

Given vertex valencies admissible for a self-dual polyhedral graph, we describe an algorithm to explicitly construct such a polyhedron. Inputting in the algorithm permutations of t…

math.PR2021

On the limiting behaviour of arithmetic toral eigenfunctions

Riccardo W. Maffucci, Alejandro Rivera

We consider a wide class of families $(F_{m})_{m \in N}$ of Gaussian fields on $T^{d} = R^{d} / Z^{d}$ defined by \[F_m:x\mapsto \frac{1}{\sqrt{|Λ_m|}}\sum_{λ…

math.CO2021

Constructing certain families of $3$ -polytopal graphs

Riccardo W. Maffucci

Let $n \geq 3$ and $r_{n}$ be a $3$ -polytopal graph such that for every $3 \leq i \leq n$ , $r_{n}$ has at least one vertex of degree $i$ . We find the minimal vertex count for $r_{n}$ . We th…

math.CO2021

On polyhedral graphs and their complements

Riccardo Walter Maffucci

We find all polyhedral graphs such that their complements are still polyhedral. These turn out to be all self-complementary.

Asymptotic distribution of Nodal Intersections for ARW against a Surface

Self-dual polyhedra of given degree sequence

On the limiting behaviour of arithmetic toral eigenfunctions

Constructing certain families of 3-polytopal graphs

On polyhedral graphs and their complements

Constructing certain families of $3$ -polytopal graphs