232 citations · 930 across the 41 of their papers we have counts for
7 papers · 1 filter
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…
Spatially extended networks with singular multi-scale connectivity patterns
Jonathan Touboul
The cortex is a very large network characterized by a complex connectivity including at least two scales: a microscopic scale at which the interconnections are non-specific and ver…
Limits and dynamics of randomly connected neuronal networks
Cristobal Quininao, Jonathan Touboul
Networks of the brain are composed of a very large number of neurons connected through a random graph and interacting after random delays that both depend on the anatomical distanc…
Synchronization in random balanced networks
Luis Carlos Garcidel Molino, Khashayar Pakdaman, Jonathan Touboul +1
Characterizing the in uence of network properties on the global emerging behavior of interacting elements constitutes a central question in many areas, from physical to social scie…
Noise-induced canard and mixed-mode oscillations in large stochastic networks with multiple timescales
Jonathan Touboul, Maciej Krupa, Mathieu Desroches
We investigate the dynamics of large stochastic networks with different timescales and nonlinear mean-field interactions. After deriving the limit equations for a general class of…
Macroscopic equations governing noisy spiking neuronal populations
Mathieu Galtier, Jonathan Touboul
At functional scales, cortical behavior results from the complex interplay of a large number of excitable cells operating in noisy environments. Such systems resist to mathematical…