316 citations · 2.6k across the 149 of their papers we have counts for
170 papers
Linking discrete and continuous models of cell birth and migration
W. Duncan Martinson, Alexandria Volkening, Markus Schmidtchen +2
Self-organisation of individuals within large collectives occurs throughout biology. Mathematical models can help elucidate the individual-level mechanisms behind these dynamics, b…
Competing effects in fourth-order aggregation-diffusion equations
José Antonio Carrillo, Antonio Esposito, Carles Falcó +1
We give sharp conditions for global in time existence of gradient flow solutions to a Cahn-Hilliard-type equation, with backwards second order degenerate diffusion, in any dimensio…
Well-posedness and stability of a stochastic neural field in the form of a partial differential equation
José Antonio Carrillo, Pierre Roux, Susanne Solem
A system of partial differential equations representing stochastic neural fields was recently proposed with the aim of modelling the activity of noisy grid cells when a mammal trav…
Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights
Immanuel Ben Porat, José A. Carrillo, Sondre T. Galtung
The mean field limit with time dependent weights for a 1D singular case, given by the attractive Coulomb interactions, is considered. This extends recent results [1,8] for the case…
FedCBO: Reaching Group Consensus in Clustered Federated Learning through Consensus-based Optimization
Jose A. Carrillo, Nicolas Garcia Trillos, Sixu Li +1
Federated learning is an important framework in modern machine learning that seeks to integrate the training of learning models from multiple users, each user having their own loca…
Partial mass concentration for fast-diffusions with non-local aggregation terms
José A. Carrillo, A. Fernández-Jiménez, D. Gómez-Castro
We study well-posedness and long-time behaviour of aggregation-diffusion equations of the form …