3 citations · 4 across the 3 of their papers we have counts for
3 papers
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.PR2010★ 3 cited
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…
math.PR2010
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.