232 citations · 930 across the 41 of their papers we have counts for
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Multi-Resolution Schauder Approach to Multidimensional Gauss-Markov Processes
Thibaud Taillefumier, Jonathan Touboul
The study of multidimensional stochastic processes involves complex computations in intricate functional spaces. In particular, the diffusion processes, which include the practical…
On the simulation of nonlinear bidimensional spiking neuron models
Jonathan Touboul
Bidimensional spiking models currently gather a lot of attention for their simplicity and their ability to reproduce various spiking patterns of cortical neurons, and are particula…
Finite-size and correlation-induced effects in Mean-field Dynamics
Jonathan Touboul, G. Bard Ermentrout
The brain's activity is characterized by the interaction of a very large number of neurons that are strongly affected by noise. However, signals often arise at macroscopic scales i…
On the Dynamic Interplay between Positive and Negative Affects
Jonathan Touboul, Alberto Romagnoni, Robert Schwartz
Emotional disorders and psychological flourishing are the result of complex interactions between positive and negative affects that depend on external events and the subject's inte…
Stochastic firing rate models
Jonathan Touboul, Bard Ermentrout, Olivier Faugeras +1
We review a recent approach to the mean-field limits in neural networks that takes into account the stochastic nature of input current and the uncertainty in synaptic coupling. Thi…