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.

Preprint


‘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.

Preprint


‘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

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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

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‘Invariant Measures for Stochastic Partial Differential Equations’, lecture notes (lectures given by S. Peszat), Mathematical Notebooks Vol.2, Matrix Press, 2008

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‘Introduction to Analysis on Lie Groups’, lecture notes (lectures given by W. Hebisch), Mathematical Notebooks Vol.1, Matrix Press, 2008

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