232 citations · 930 across the 41 of their papers we have counts for
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Topological and Dynamical Complexity of Random Neural Networks
Gilles Wainrib, Jonathan Touboul
Random neural networks are dynamical descriptions of randomly interconnected neural units. These show a phase transition to chaos as a disorder parameter is increased. The microsco…
Heterogeneous connections induce oscillations in large scale networks
Geoffroy Hermann, Jonathan Touboul
Realistic large-scale networks display an heterogeneous distribution of connectivity weights, that might also randomly vary in time. We show that depending on the level of heteroge…
Limits and dynamics of stochastic neuronal networks with random heterogeneous delays
Jonathan Touboul
Realistic networks display heterogeneous transmission delays. We analyze here the limits of large stochastic multi-populations networks with stochastic coupling and random intercon…
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.…