113 citations · 118 across the 6 of their papers we have counts for
6 papers
A general framework for stochastic traveling waves and patterns, with application to neural field equations
James Inglis, James MacLaurin
In this paper we present a general framework in which to rigorously study the effect of spatio-temporal noise on traveling waves and stationary patterns. In particular the framewor…
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…
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…
Global solvability of a networked integrate-and-fire model of McKean-Vlasov type
François Delarue, James Inglis, Sylvain Rubenthaler +1
We here investigate the well-posedness of a networked integrate-and-fire model describing an infinite population of neurons which interact with one another through their common sta…
Ergodicity for infinite particle systems with locally conserved quantities
J. Inglis, M. Neklyudov, B. Zegarlinski
We analyse certain degenerate infinite dimensional sub-elliptic generators, and obtain estimates on the long-time behaviour of the corresponding Markov semigroups that describe a c…
From U-bounds to isoperimetry with applications to H-type groups
J. Inglis, V. Kontis, B. Zegarlinski
In this paper we study applications of U-bounds to coercive and isoperimetric problems for probability measures on finite and infinite products of H-type groups.