316 citations · 2.6k across the 149 of their papers we have counts for
4 papers · 1 filter
Consensus Based Sampling
J. A. Carrillo, F. Hoffmann, A. M. Stuart +1
We propose a novel method for sampling and optimization tasks based on a stochastic interacting particle system. We explain how this method can be used for the following two goals:…
Stability analysis of line patterns of an anisotropic interaction model
José A. Carrillo, Bertram Düring, Lisa Maria Kreusser +1
Motivated by the formation of fingerprint patterns we consider a class of interacting particle models with anisotropic, repulsive-attractive interaction forces whose orientations d…
Sharp conditions to avoid collisions in singular Cucker-Smale interactions
Jose A. Carrillo, Young-Pil Choi, Piotr B. Mucha +1
We consider the Cucker-Smale flocking model with a singular communication weight with . We provide a critical value of the exponent in the communication w…
Nonlinear stability of flock solutions in second-order swarming models
J. A. Carrillo, Y. Huang, S. Martin
In this paper we consider interacting particle systems which are frequently used to model collective behavior in animal swarms and other applications. We study the stability of ori…