| Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states MJ Cáceres, JA Carrillo, B Perthame The Journal of Mathematical Neuroscience 1, 1-33, 2011 | 150 | 2011 |
| Microscopic approach of a time elapsed neural model J Chevallier, MJ Cáceres, M Doumic, P Reynaud-Bouret Mathematical Models and Methods in Applied Sciences 25 (14), 2669-2719, 2015 | 87 | 2015 |
| Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles MJ Cáceres, JA Carrillo, T Goudon Taylor & Francis Group 28 (5-6), 969-989, 2003 | 77 | 2003 |
| A BGK relaxation model for polyatomic gas mixtures M Bisi, MJ Cáceres Communications in Mathematical Sciences 14 (2), 297-325, 2016 | 66 | 2016 |
| Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations MJ Cáceres, JA Cañizo, S Mischler Journal de mathématiques pures et appliquées 96 (4), 334-362, 2011 | 64 | 2011 |
| Long-time behavior for a nonlinear fourth-order parabolic equation M Cáceres, J Carrillo, G Toscani Transactions of the American Mathematical Society 357 (3), 1161-1175, 2005 | 61 | 2005 |
| A numerical solver for a nonlinear Fokker–Planck equation representation of neuronal network dynamics MJ Cáceres, JA Carrillo, L Tao Journal of Computational Physics 230 (4), 1084-1099, 2011 | 55 | 2011 |
| Beyond blow-up in excitatory integrate and fire neuronal networks: refractory period and spontaneous activity MJ Caceres, B Perthame Journal of theoretical biology 350, 81-89, 2014 | 48 | 2014 |
| Nonlinear Stability in Lp for a Confined System of Charged Particles MJ Cáceres, JA Carrillo, J Dolbeault SIAM journal on mathematical analysis 34 (2), 478-494, 2002 | 44 | 2002 |
| A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs NB Abdallah, MJ Cáceres, JA Carrillo, F Vecil Journal of Computational Physics 228 (17), 6553-6571, 2009 | 37 | 2009 |
| Kinetic approach to long time behavior of linearized fast diffusion equations MJ Cáceres, G Toscani Journal of Statistical Physics 128, 883-925, 2007 | 29 | 2007 |
| Analysis and numerical solver for excitatory-inhibitory networks with delay and refractory periods MJ Cáceres, R Schneider ESAIM: Mathematical Modelling and Numerical Analysis 52 (5), 1733-1761, 2018 | 23 | 2018 |
| Blow-up, steady states and long time behaviour of excitatory-inhibitory nonlinear neuron models MJ Cáceres, R Schneider Kinetic and Related Models 10 (3), 587-612., 2016 | 23 | 2016 |
| Rate of convergence to self-similarity for the fragmentation equation in L^ 1 spaces MJ Cáceres, JA Cañizo, S Mischler Communications in Applied and Industrial Mathematics 1 (2), 299-308, 2011 | 22 | 2011 |
| Deterministic Simulation of the Boltzmann--Poisson System in GaAs-Based Semiconductors MJ Cáceres, JA Carrillo, A Majorana SIAM Journal on Scientific Computing 27 (6), 1981-2009, 2006 | 19 | 2006 |
| Global-in-time solutions and qualitative properties for the NNLIF neuron model with synaptic delay MJ Cáceres, P Roux, D Salort, R Schneider Communications in Partial Differential Equations 44 (12), 1358-1386, 2019 | 17 | 2019 |
| The BGK model with external confining potential: existence, long-time behaviour and time-periodic Maxwellian equilibria R Bosi, MJ Cáceres Journal of Statistical Physics 136, 297-330, 2009 | 17 | 2009 |
| Deterministic kinetic solvers for charged particle transport in semiconductor devices MJ Caceres, JA Carrillo, IM Gamba, A Majorana, CW Shu Transport Phenomena and Kinetic Theory: Applications to Gases …, 2006 | 16 | 2006 |
| A parallel deterministic solver for the Schrödinger–Poisson–Boltzmann system in ultra-short DG-MOSFETs: Comparison with Monte-Carlo F Vecil, JM Mantas, MJ Cáceres, C Sampedro, A Godoy, F Gámiz Computers & Mathematics with Applications 67 (9), 1703-1721, 2014 | 14 | 2014 |
| An understanding of the physical solutions and the blow-up phenomenon for nonlinear noisy leaky integrate and fire neuronal models MJ Cáceres, A Ramos-Lora Commun. Comput. Phys. 30, 820-850, 2021 | 10 | 2021 |
José Antonio CarrilloUniversity of OxfordVerified email at maths.ox.ac.uk
