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
2021 - A note on Fokker-Planck equations and graphons, F. Coppini | arXiv
2020 - Weakly interacting oscillators on dense random graphs, G. Bet, F. Coppini, F. R. Nardi | arXiv
Published
2021 - A Law of Large Numbers for interacting diffusions via a mild formulation, F. Bechtold and F. Coppini, Electronic Journal of Probability (to appear) | arXiv
2021 - Long time dynamics for interacting oscillators on graphs, F. Coppini, Annals of Applied Probability (to appear) | arXiv
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
Thesis
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)
Collaborators
(chronological order)
Florian Bechtold
Agenda (not updated)
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)