2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.PR2014★ 2 cited
Mean-field limit of a stochastic particle system smoothly interacting through threshold hitting-times and applications to neural networks with dendritic component
James Inglis, Denis Talay
In this article we study the convergence of a stochastic particle system that interacts through threshold hitting times towards a novel equation of McKean-Vlasov type. The particle…
math.PR2013
Stochastic neural field equations: A rigorous footing
Olivier Faugeras, James Inglis
We extend the theory of neural fields which has been developed in a deterministic framework by considering the influence spatio-temporal noise. The outstanding problem that we here…
math.FA2009
Logarithmic Sobolev inequalities for infinite dimensional Hörmander type generators on the Heisenberg group
James Inglis, Ioannis Papageorgiou
The Heisenberg group is one of the simplest sub-Riemannian settings in which we can define non-elliptic Hörmander type generators. We can then consider coercive inequalities associ…