68 citations · 115 across the 12 of their papers we have counts for
13 papers
Swarming by curvature control in arbitrary dimension
Pierre Degond, Antoine Diez, Amic Frouvelle
We consider an interacting particle system proposed in the literature to model fish behavior. In this model, the agents move at constant speed and control the curvature of their tr…
Mean-field limits à la Tanaka and large deviations for particle systems with network interactions
Louis-Pierre Chaintron, Antoine Diez
This article proposes a unified framework to study non-exchangeable mean-field particle systems with some general interaction mechanisms. The starting point is a fixed-point formul…
Multicellular simulations with shape and volume constraints using optimal transport
Antoine Diez, Jean Feydy
Many living and physical systems such as cell aggregates, tissues or bacterial colonies behave as unconventional systems of particles that are strongly constrained by volume exclus…
Topological travelling waves of a macroscopic swarmalator model in confined geometries
Pierre Degond, Antoine Diez
We investigate a new class of topological travelling-wave solutions for a macroscopipc swarmalator model involving force non-reciprocity. Swarmalators are systems of self-propelled…
Topological states and continuum model for swarmalators without force reciprocity
Pierre Degond, Antoine Diez, Adam Walczak
Swarmalators are systems of agents which are both self-propelled particles and oscillators. Each particle is endowed with a phase which modulates its interaction force with the oth…
Propagation of chaos: a review of models, methods and applications. I. Models and methods
Louis-Pierre Chaintron, Antoine Diez
The notion of propagation of chaos for large systems of interacting particles originates in statistical physics and has recently become a central notion in many areas of applied ma…
Body-attitude coordination in arbitrary dimension
Pierre Degond, Antoine Diez, Amic Frouvelle
We consider a system of self-propelled agents interacting through body attitude coordination in arbitrary dimension . We derive the formal kinetic and hydrodynamic limits…
Propagation of chaos: a review of models, methods and applications. II. Applications
Louis-Pierre Chaintron, Antoine Diez
The notion of propagation of chaos for large systems of interacting particles originates in statistical physics and has recently become a central notion in many areas of applied ma…
Bulk topological states in a new collective dynamics model
Pierre Degond, Antoine Diez, Mingye Na
In this paper, we demonstrate the existence of topological states in a new collective dynamics model. This individual-based model (IBM) describes self-propelled rigid bodies moving…
Cauchy theory for general Vicsek models in collective dynamics and mean-field limit approximations
Marc Briant, Antoine Diez, Sara Merino-Aceituno
In this paper we provide a local Cauchy theory both on the torus and in the whole space for general Vicsek dynamics at the kinetic level. We consider rather general interaction ker…
Collective Proposal Distributions for Nonlinear MCMC samplers: Mean-Field Theory and Fast Implementation
Grégoire Clarté, Antoine Diez, Jean Feydy
Over the last decades, various "non-linear" MCMC methods have arisen. While appealing for their convergence speed and efficiency, their practical implementation and theoretical stu…
Propagation of chaos and moderate interaction for a piecewise deterministic system of geometrically enriched particles
Antoine Diez
In this article we study a system of particles, each of them being defined by the couple of a position (in ) and a so-called orientation which is an element of a…
Phase transitions and macroscopic limits in a BGK model of body-attitude coordination
Pierre Degond, Antoine Diez, Amic Frouvelle +1
In this article we investigate the phase transition phenomena that occur in a model of self-organisation through body-attitude coordination. Here, the body-attitude of an agent is…