232 citations · 930 across the 41 of their papers we have counts for
8 papers · 1 filter
Large deviations for randomly connected neural networks: II. State-dependent interactions
Tanguy Cabana, Jonathan Touboul
This work continues the analysis of large deviations for randomly connected neural networks models of the brain. The originality of the model relies on the fact that the directed i…
Large deviations for randomly connected neural networks: I. Spatially extended systems
Tanguy Cabana, Jonathan Touboul
In a series of two papers, we investigate the large deviations and asymptotic behavior of stochastic models of brain neural networks with random interaction coefficients. In this f…
On the dynamics of random neuronal networks
Philippe Robert, Jonathan D. Touboul
We study the mean-field limit and stationary distributions of a pulse-coupled network modeling the dynamics of a large neuronal assemblies. Our model takes into account explicitly…
Index Distribution of the Ginibre Ensemble
Romain Allez, Jonathan Touboul, Gilles Wainrib
Complex systems, and in particular random neural networks, are often described by randomly interacting dynamical systems with no specific symmetry. In that context, characterizing…
Absorption properties of stochastic equations with Hölder diffusion coefficients
Jonathan Touboul, Gilles Wainrib
In this article, we address the absorption properties of a class of stochastic differ- ential equations around singular points where both the drift and diffusion functions vanish.…
Propagation of chaos in neural fields
Jonathan Touboul
We consider the problem of the limit of bio-inspired spatially extended neuronal networks including an infinite number of neuronal types (space locations), with space-dependent pro…