Department of Mathematics "Giuseppe Peano"

Selected research products

18) On the faces of unigraphic $3$-polytopes
European Journal of Combinatorics
In corso di stampa Riccardo W. Maffucci https://iris.unito.it/handle/2318/2020133

17) Asymptotic distribution of nodal intersections for ARW against a surface
J. Math. Phys. 65, 033503
2024-01-01 Maffucci R.W.; Rossi M. https://iris.unito.it/handle/2318/2019858

16) Rao's Theorem for forcibly planar sequences revisited
Discrete Mathematics (347)10:114102
2024-01-01 Maffucci R.W. https://iris.unito.it/handle/2318/2019833

15) Independence numbers of polyhedral graphs
Applied Mathematics and Computation, Volume 462: 128349
2024-01-01 Gaspoz S.; Maffucci R.W. https://iris.unito.it/handle/2318/2019860

14) On Unigraphic Polyhedra with One Vertex of Degree p-2
Results in Mathematics, 79.2: 79
2024-01-01 Delitroz J.; Maffucci R.W. https://iris.unito.it/handle/2318/2019855

13) Characterising 3-polytopes of radius one with unique realisation
Australas. J. Combin. 89(2): 268–293
2024-01-01 Maffucci R.W. https://iris.unito.it/handle/2318/2019835

12) On the limiting behaviour of arithmetic toral eigenfunctions
Annales Institut Fourier (online first)
2024-01-01 Riccardo W. Maffucci; Rivera A. https://iris.unito.it/handle/2318/2020134

11) On smallest 3-polytopes of given graph radius
Discrete Mathematics (346)5:113322
2023-01-01 Maffucci R.W.; Willems N. https://iris.unito.it/handle/2318/2019856

10) Constructing certain families of 3-polytopal graphs
Journal of Graph Theory 102.3: 484-501
2023-01-01 Maffucci R.W. https://iris.unito.it/handle/2318/2019836

9) Self-dual polyhedra of given degree sequence
Art Discrete Appl. Math. 6, P1.04
2023-01-01 Maffucci R.W. https://iris.unito.it/handle/2318/2019837

8) On polyhedral graphs and their complements
Aequationes Mathematicae 96.5: 939-953
2022-01-01 Maffucci R.W. https://iris.unito.it/handle/2318/2019834

7) Intermediate and small scale limiting theorems for random fields
Stochastic Processes and their Applications, 151:436-450
2022-01-01 Beliaev D.; Maffucci R.W. https://iris.unito.it/handle/2318/2019853

6) Coupling of stationary fields with application to arithmetic waves
Communications in Number Theory and Physics Vol 16:1-34
2022-01-01 Beliaev D.; Maffucci R.W. https://iris.unito.it/handle/2318/2019854

5) Restriction of 3d arithmetic laplace eigenfunctions to a plane
Electronic Journal of Probability 25:1-17
2020-01-01 Maffucci R.W. https://iris.unito.it/handle/2318/2019751

4) Nodal Intersections for Arithmetic Random Waves Against a Surface
Ann. Henri Poincaré 20(11):3651-3691
2019-01-01 Maffucci R.W. https://iris.unito.it/handle/2318/2019755

3) Random waves on T3: Nodal area variance and lattice point correlations
International Mathematics Research Notices (10):3032-3075
2019-01-01 Benatar J.; Maffucci R.W. https://iris.unito.it/handle/2318/2019859

2) Nodal intersections for random waves against a segment on the 3-dimensional torus
Journal of Functional Analysis 272(12):5218-5254
2017-01-01 Maffucci R.W. https://iris.unito.it/handle/2318/2019710

1) Nodal intersections of random eigenfunctions against a segment on the 2-dimensional torus
Monatshefte für Mathematik 183(2):311-328
2017-01-01 Maffucci R.W. https://iris.unito.it/handle/2318/2019712

Courses

• Calcolo delle Probabilità e Statistica (INT0400)
  Matematica per l'Economia, la Finanza e l'Assicurazione
• Planar Graphs and Polyhedra
  PhD in Mathematics

Research topics

1) Arithmetic Random Waves. At the interface of:

Number Theory -- lattice points in specific regions, equidistribution, lattice point correlations;

Probability -- random fields, stochastic processes;

Applications to Physics (cosmology, music, ocean waves).

2) Graph Theory. Planar graphs, polyhedra, degree sequences, characterisation of families of graphs, enumeration, algorithms.

Activities in agenda

See my calendar

Academic bodies

• Consiglio di Dipartimento
• Giunta di Dipartimento

Office hours

Dopo la lezione oppure su appuntamento