Particle systems with a singular mean-field self-excitation. Application to neuronal networks

Stochastic Processes and their Applications

Volumn 125, Issue 6, 2015, Pages 2451-2492

  Delarue, F ^a   Inglis, J ^b,c   Rubenthaler, S ^a   Tanre E ^b,c  

^a UNIVERSITÉ DE NICE SOPHIA ANTIPOLIS   (France)

^b INRIA   (France)

^c INRIA   (France)

Author keywords

Counting process; Integrate and fire network; M1 topology; McKean nonlinear diffusion process; Neuroscience; Propagation of chaos; Skorohod

Indexed keywords

NEURAL NETWORKS; NONLINEAR EQUATIONS; TOPOLOGY; VLASOV EQUATION;

APPLICATION OF STANDARDS; COUNTING PROCESS; FINITE PARTICLES; INTEGRATE AND FIRES; MCKEAN-VLASOV EQUATIONS; NEURONAL NETWORKS; NEUROSCIENCE; NONLINEAR DIFFUSION PROCESS;

NEURONS;

EID: 84939960805     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2015.01.007     Document Type: Article

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