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


2022 - Central Limit Theorems for global and local empirical measures of diffusions on Erdős-Rényi graphs, F. Coppini, E. Luçon, C. Poquet


2023 - Weakly interacting oscillators on dense random graphs, G. Bet, F. Coppini, F. R. Nardi, Journal of Applied Probability, 1-24. doi:10.1017/jpr.2023.34

2022 - A note on Fokker-Planck equations and graphons, F. Coppini | Journal of Statistical Physics volume 187, Article number: 15

2022 - Long time dynamics for interacting oscillators on graphs, F. Coppini, Ann. Appl. Probab. 32(1): 360-391 (February 2022). DOI: 10.1214/21-AAP1680

2021 - A Law of Large Numbers for interacting diffusions via a mild formulation, F. Bechtold and F. Coppini, Electronic Journal of Probability 26, 1-27

2020 - A Law of Large Numbers and Large Deviations for interacting diffusions on Erdős-Rényi graphs, F. Coppini, H. Dietert and G. Giacomin, Stochastic and Dynamics Volume No.20, Issue No.02 | DOI 10.1142/S0219493720500100 | arXiv


Manuscript: Weakly interacting diffusions on graphs

Notes and reports

2020 - Predictive models on 1D signals in a small-data environment, F. Coppini, Y. Jiang, S. Tabti | HaL

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

Agenda (not updated)


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


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


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


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


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


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