Journées ANR Conviviality

Liste des Contributions

1. TBA

Michel Bonnefont

20/05/2026 14:00

2. On set-valued intertwining duality for diffusion processes

Laurent Miclo

20/05/2026 15:00

Markov intertwinning relations were first developed in the finite state space setting to provide a probabilistic approach to convergence to equilibrium.
We will see how to adapt this method to diffusions on Riemannian manifolds, through stochastic extensions of mean curvature flows.

3. TBA

Marjolaine Puel

20/05/2026 16:30

4. On weighted Poincaré inequalities for multivariate Liouville and elliptical distributions - Application to Global Sensitivity Analysis

David Heredia

20/05/2026 17:30

In this work, we develop new weighted Poincaré inequalities for two clases of multivariate probability measures: multivariate Liouville and elliptical contoured distributions. The former are established via a radial-type decomposition involving the Dirichlet distribution, while the latter are obtained through their spherical counterparts. We further extend this type of results to measures with...

5. TBA

Ons Rameh

20/05/2026 18:00

6. Sub-exponential tails in biased run and tumble equations with unbounded velocities

Luca Ziviani

21/05/2026 09:00

Run and tumble equations are widely used models for bacterial chemotaxis. In this talk, we present the long-time behavior of run and tumble equations with unbounded velocities. We show existence, uniqueness and quantitative convergence towards a steady state. In contrast to the bounded velocity case, the equilibrium has sub-exponential tails and we have sub-exponential rate of convergence to...

7. TBA

Jordan Serres

21/05/2026 09:30

8. Régularité des équations elliptiques à poids monomiaux

Francesco Pagliarin

21/05/2026 11:00

Dans cet exposé je présenterai des théorèmes de régularité $C^{0,\alpha}$ et $C^{1,\alpha}$ pour solutions d'équations elliptiques, en forme de divergence, avec poids monomiaux. A cause de la dégéneration/singularité des poids (qui ne sont pas forcement dans la classe des poids Muckenhoupt $A_2$) la théorie classique ne s'applique pas. Grace à des théorèmes d'approximations et à des inegalités...

9. TBA

Tom Maitre

21/05/2026 11:30

10. Les variables sous-gaussiennes sont somme de trois gaussiennes, d'après A. Song

Max Fathi

21/05/2026 14:00

Dans cet exposé, je présenterai des résultats récents de Antoine Song sur une conjecture prédisant que les variables 1 sous-gaussiennes peuvent être réalisées comme sommes d'un nombre borné de variables gaussiennes standard, en toutes dimensions. Song démontre cette conjecture en dimension 1, et donne des nouvelles estimations sur le nombre de gaussiennes nécessaires en dimension supérieure....

11. TBA

Andreas Malliaris

21/05/2026 15:00

12. TBA

Pierre Gervais

21/05/2026 16:00

13. Low-temperature asymptotics of the Poincaré and the log-Sobolev constants for Łojasiewicz potentials

Aziz Ben Nejma

21/05/2026 17:00

In 2024, Chewi and Stromme showed that, in the low-temperature regime, the behavior of the relative entropy with respect to a Gibbs measure reflects that of the underlying potential when the latter has a unique minimizer. They conjectured that this link extends more generally to potentials having multiple minimizers.
In this talk, we show that this is not the case. We explain that when there...

14. TBA

Ivan Gentil

21/05/2026 17:30

15. TBA

Patrick Cattiaux

22/05/2026 09:00

16. TBA

Louis-Pierre Chaintron

22/05/2026 10:00

17. TBA

Paul Invernizzi

22/05/2026 11:15

18. Active Brownian particles with mean-field interaction: singular interactions and multiple invariant measures

Oscar de Wit

22/05/2026 11:45

We introduce a mean-field McKean-Vlasov model for a collective of ants. The model sustains two non-trivial dynamical behaviours: aggregation and lane formation. We show the well-posedness and mean-field limit for the particle model with singular interactions via a compactness method. We also show the existence of multiple invariant measures via perturbative Fourier-style bifurcation analysis,...