35 citations · 35 across the 1 of their papers we have counts for
3 papers
math.PR2016
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…
math.PR2015
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…
math-ph2013★ 35 cited
Large deviations, dynamics and phase transitions in large stochastic heterogeneous neural networks
Tanguy Cabana, Jonathan Touboul
We analyze the macroscopic behavior of multi-populations randomly connected neural networks with interaction delays. Similar to cases occurring in spin glasses, we show that the se…