97 citations · 144 across the 19 of their papers we have counts for
19 papers
Spatial and color hallucinations in a mathematical model of primary visual cortex
Olivier D. Faugeras, Anna Song, Romain Veltz
We study a simplified model of the representation of colors in the primate primary cortical visual area V1. The model is described by an initial value problem related to a Hammerst…
The meanfield limit of a network of Hopfield neurons with correlated synaptic weights
Olivier Faugeras, James Maclaurin, Etienne Tanre
We study the asymptotic behaviour for asymmetric neuronal dynamics in a network of Hopfield neurons. The randomness in the network is modelled by random couplings which are centere…
A neural field model for color perception unifying assimilation and contrast
Anna Song, Olivier Faugeras, Romain Veltz
We address the question of color-space interactions in the brain, by proposing a neural field model of color perception with spatial context for the visual area V1 of the cortex. O…
Clarification and complement to "Mean-field description and propagation of chaos in networks of Hodgkin-Huxley and FitzHugh-Nagumo neurons"
Mireille Bossy, Olivier Faugeras, Denis Talay
In this note, we clarify the well-posedness of the limit equations to the mean-field -neuron models proposed in Baladron et al. and we prove the associated propagation of chaos…
On the Hamiltonian structure of large deviations in stochastic hybrid systems
Paul Bressloff, Olivier Faugeras
We develop the connection between large deviation theory and more applied approaches to stochastic hybrid systems by highlighting a common underlying Hamiltonian structure. A stoch…
Asymptotic description of stochastic neural networks. II - Characterization of the limit law
Olivier Faugeras, James MacLaurin
We continue the development, started in of the asymptotic description of certain stochastic neural networks. We use the Large Deviation Principle (LDP) and the good rate function H…