Institut Camille Jordan

A deterministic particle approximation for a fourth-order equation

We provide a deterministic particle approximation to a fourth order equation with applications in cell-cell adhesion. In order to do that, first we show that the equation can be asymptotically obtained as a limit from a class of well-posed nonlocal partial differential equations....

Bilateral Parking Procedures

We introduce the class of bilateral parking procedures on the discrete line $\mathbb{Z}$. While cars try to park in the nearest available spot to their right in the classical case, we consider more general parking rules that allow cars to use the nearest available spot to their l...

Hearing the shape of an arena with spectral swarm robotics

Swarm robotics relies on robots with minimal sensing and computation that achieve self-organization at the level of the collective to address a variety of tasks. Yet, swarm robotics still struggles with global tasks that require understanding the broader spatial context in which...

Multi-species McKean–Vlasov dynamics in non-convex landscapes

Abstract In this paper, we study multi-species stochastic interacting particle systems and their mean-field McKean–Vlasov partial differential equations (PDEs) in non-convex landscapes. Under general assumptions on non-convex confining and interaction potentials with polynomial g...

A structure-preserving method of fundamental solutions for the multi-phase Mullins–Sekerka flow

A charge simulation method, a variant of the method of fundamental solutions, is applied to approximate the multi-phase Mullins–Sekerka flow in R 2 and in a half-plane H bounded by a Neumann wall W . In the underlying mathematical model, interfaces driven by their curvature are c...

Gradient-based active learning with Gaussian processes for global sensitivity analysis.

Global sensitivity analysis of complex numerical simulators is often limited by the small number of model evaluations that can be afforded. In such settings, surrogate models built from a limited set of simulations can substantially reduce the computational burden, provided that...

On quasi-homomorphism rigidity for lattices in simple algebraic groups

Property (TTT) was introduced by Ozawa as a strengthening of Kazhdan’s property (T) and Burger and Monod’s property (TT) . In this paper, we improve Ozawa’s result by showing that any simple algebraic group of rank \geq 2 over a local field has property (TTT) . We also show that...

Active learning strategies for the estimation of a feasible set defined from a vector output black-box simulator

Many industrial problems require the use of black-box numerical simulators, for which it is essential to determine the set of so-called feasible input parameters. A set of parameters is feasible if the output of the code on these parameters satisfies given constraints, for exampl...