Research Areas and Interests

Weakly Interacting Particle systems

Described by (deterministic or stochastic) differential equations. Long-time behavior, Propagation of chaos properties.

(Random) graphs

Mostly dense graph sequences and graphons. Relation between the dense and sparse regime.

Machine Learning and High Dimensional Statistics

Clustering, dimensionality reduction techniques and small data framework.

Research Papers

Preprint

Weakly interacting oscillators on dense random graphs, G. Bet, F. Coppini, F. R. Nardi, 2020 | ArXiv

A Law of Large Numbers for interacting diffusions via a mild formulation, F. Bechtold and F. Coppini, 2020 | ArXiv

Long time dynamics for interacting oscillators on graphs, F. Coppini, 2019 | ArXiv

Published

A Law of Large Numbers and Large Deviations for interacting diffusions on ErdÅ‘s-Rényi graphs, F. Coppini, H. Dietert and G. Giacomin, Stochastic and Dynamics Volume No.20, Issue No.02 | DOI 10.1142/S0219493720500100 | arXiv

Thesis

Manuscript: Weakly interacting diffusions on graphs

 

Notes

For Machine Learning Reading Group of LPSM: Random Projection and Johnson-Linderstrauss Lemma: an introduction (link)

Collaborators

(chronological order)

 

Francesca Nardi

Gianmarco Bet

Florian Bechtold

Helge Dietert

Giambattista Giacomin

Agenda

2021

Mathématiques et vins, Chapitre 1 | ???, Paris

2020

Séminaire Phimeca, Décrire et inférer la dynamique des systèmes | 25 Nov, online

Federated Learning Winter School | 24 Nov, online

SEME Bordeaux on small-data framework for 1d-signals | 26-30 Oct, IMB, Bordeaux

Rencontre Maths Industries - mathématique du climat et de l'environnement | 23 Sept, IHP, Paris

Spectra, Algorithms and Random Walks on Random Networks | 13-17 Jan, CIRM, Marseille

2019

Particle Systems and PDE's VIII | 2-6 Dec, University of Lisbon, Instituto Superior Técnico, Lisbon

Random Graphs and Complex Networks: Structure and Function | Bocconi Summer School, 8-19 July, Como

High dimensional probability and algorithms | 1-5 July, PSL, Paris

Walking through the Brownian zoo | 3-7 June, Paris

Semaine d’Études Maths Entreprises SEME | 20-24 May, LMB, Besançon

Equilibrium and Non-equilibrium Statistical Mechanics | 8-10 April, Villa Finaly, Florence (poster)

Mathematics and culture | 29-31 March, Istituto Veneto di Scienze, Lettere ed Arti, Venice

2018

A spring day in Probability and Statistical Physics | 25 May, Università di Firenze

Spin Systems: Discrete and Continuous | Spring School, 19-23 March, TU Darmstadt

Useful things

Teachings, pre-prints, notes, etc

Teaching

L2 Math Info - Analyse et Algèbre fondamentales (Université Paris 7) | 2016/2017, 2018/2019 and 2019/2020
L3 Math - Probabilités (Université Paris 7) | 2016/2017 and 2018/2019
L3 Math - Simulations Probabilistes (Université Paris 7) | 2016/2017 and 2018/2019

Downloads

Master Thesis: Synchronisation Phenomena and Random Graphs
Bachelor Thesis: Vibrating Strings and Irrational Numbers
Curriculm Vitae math (update 10/20)