Publications
Preprints:
‘A general framework for stochastic traveling waves and patterns, with application to neural field equations’, J. Inglis, J. Maclaurin (2015). arXiv
‘Mean-field limit of a stochastic particle system smoothly interacting through threshold hitting-times and applications to neural networks with dendritic component.’, J. Inglis, D. Talay (2014). HAL
Articles:
‘Particle systems with a singular mean-field self-excitation. Application to neuronal networks.’, F. Delarue, J. Inglis, S. Rubenthaler, E. Tanré, Stochastic Process. Appl. 125 (2015) pp. 2451–2492. Preprint
‘Global solvability of a networked integrate-and-fire model of McKean-Vlasov type’, F. Delarue, J. Inglis, S. Rubenthaler, E. Tanré, Ann. Appl. Probab., 25 (2015) pp. 2096-2133. Preprint
‘Stochastic neural field equations: A rigorous footing’, O. Faugeras, J. Inglis, J. Math. Biol. Open Access (2014). Link
‘Spectral inequalities for operators on H-type groups’, J. Inglis, J. Spectr. Theory, 2 (2012), pp. 79–105.
‘Ergodicity for infinite particle systems with local ly conserved quantities’, J.Inglis, M. Neklyudov and B. Zegarlinski, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 15 (2012) 28 pp.
‘From U-bounds to isoperimetry with applications to H-type groups’, J. Inglis, V. Kontis and B. Zegarlinski, J. Funct. Anal. 260 (2011), pp. 76-116
‘Logarithmic Sobolev inequalities for infinite dimensional Hörmander type generators on the Heisenberg group’, J. Inglis and I. Papageorgiou, J. Pot. Anal. 31, 1 (2009), pp. 79-102
‘Liggett inequalities and interacting particle systems’, J. Inglis, M. Neklyudov and B. Zegarlinski, Progress in analysis and its applications, World Sci. Publ. (2010) pp. 498-504
‘Operators on H-type groups with empty essential spectra’, J. Inglis, Progress in analysis and its applications, World Sci. Publ. (2010) pp. 491-497
Thesis:
‘Coercive Inequalities for Generators of Hörmander Type’, J. Inglis, PhD Thesis, Imperial College London, 2010
Notes:
‘First hitting times for general non-homogeneous 1d diffusion processes: density estimates in small time’, F. Delarue, J. Inglis, S. Rubenthaler, E. Tanré (2013). HAL
‘Evolution Equations and Boundary Problems with Application to the Navier- Stokes Equations’, lecture notes (lectures given by Z. Qian), Mathematical Notebooks Vol.3, Matrix Press, 2011
‘Invariant Measures for Stochastic Partial Differential Equations’, lecture notes (lectures given by S. Peszat), Mathematical Notebooks Vol.2, Matrix Press, 2008
‘Introduction to Analysis on Lie Groups’, lecture notes (lectures given by W. Hebisch), Mathematical Notebooks Vol.1, Matrix Press, 2008