113 citations · 118 across the 6 of their papers we have counts for
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math.PR2014★ 1 cited
Particle systems with a singular mean-field self-excitation. Application to neuronal networks
F. Delarue, J. Inglis, S. Rubenthaler +1
We discuss the construction and approximation of solutions to a nonlinear McKean-Vlasov equation driven by a singular self-excitatory interaction of the mean-field type. Such an eq…
math.FA2014★ 1 cited
Log-Sobolev inequalities for infinite-dimensional Gibbs measures with non-quadratic interactions
James Inglis, Ioannis Papageorgiou
We focus on the log-Sobolev inequality for spin systems on the lattice with interactions of higher order than quadratic. We show that if the one-dimensional single-site measure wit…