Igor Honoré

Postdoctoral Researcher
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Contact

igor.honore@inria.fr
Inria Lille - Nord Europe, team-project RAPSODI
Laboratoire Painlevé, équipe Analyse Numérique et Equations aux Dérivées Partielles
40, av. Halley, F-59650 Villeneuve d'Ascq

Short bio

I work as a postdoctoral researcher with Maxime Herda at Inria Lille - Nord Europe in the RAPSODI project team. In 2019, still as a postdctoral researcher, I was working with Denis Talay at Inria Sophia Antipolis - Méditerranée in the TOSCA project team. I defended my PhD thesis in 2018 in Université Paris-Saclay, Laboratoire de Mathématiques et Modélisation d'Evry under the supervision of Stéphane Menozzi.

Research topics

I am interested in the regularity and in the long-time behaviour of singular systems (stochastic or determinist) and their associated discretizations.

Stochastic Analysis:
• Degerate Stochastic Differential Equations (SDE)
• Strong Uniqueness
• Central Limit Theorem

Numerical Probability
• Approximation of the invariant distribution
• Concentration inequality

Partial Differential Equations (PDE)
• Parabolic/Elliptic Differential Equations
• Besov and Triebel-Lizorkin spaces
• Regularisation by noise
• Schauder estimates

Numerical Analysis
• Asymptotic-Preserving schemes for kinetic equations