9 citations · 13 across the 4 of their papers we have counts for
4 papers
Geometric structure of graph Laplacian embeddings
Nicolas Garcia Trillos, Franca Hoffmann, Bamdad Hosseini
We analyze the spectral clustering procedure for identifying coarse structure in a data set , and in particular study the geometry of graph Laplacian embeddings wh…
The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime
Vincent Calvez, Jose Antonio Carrillo, Franca Hoffmann
We consider an aggregation-diffusion equation modelling particle interaction with non-linear diffusion and non-local attractive interaction using a homogeneous kernel (singular and…
Equilibria of homogeneous functionals in the fair-competition regime
Vincent Calvez, Jose Antonio Carrillo, Franca Hoffmann
We consider macroscopic descriptions of particles where repulsion is modelled by non-linear power-law diffusion and attraction by a homogeneous singular/smooth kernel leading to va…
Non-local kinetic and macroscopic models for self-organised animal aggregations
José A. Carrillo, Raluca Eftimie, Franca K. O. Hoffmann
The last two decades have seen a surge in kinetic and macroscopic models derived to investigate the multi-scale aspects of self-organised biological aggregations. Because the indiv…