232 citations · 930 across the 41 of their papers we have counts for
4 papers · 1 filter
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…
Wild oscillations in a nonlinear neuron model with resets: (II) Mixed-mode oscillations
Jonathan E. Rubin, Justyna Signerska-Rynkowska, Jonathan Touboul +1
This work continues the analysis of complex dynamics in a class of bidimensional nonlinear hybrid dynamical systems with resets modeling neuronal voltage dynamics with adaptation a…
Power-law statistics and universal scaling in the absence of criticality
Jonathan Touboul, Alain Destexhe
Critical states are sometimes identified experimentally through power-law statistics or universal scaling functions. We show here that such features naturally emerge from networks…
The real Ginibre ensemble with real eigenvalues
Luis Carlos García del Molino, Khashayar Pakdaman, Jonathan Touboul +1
We consider the ensemble of Real Ginibre matrices with a positive fraction of real eigenvalues. We demonstrate a large deviations principle for the joint eigenvalue density o…