Igor Honoré

Maître de Conférences
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Contact

honore[at]math.univ-lyon1.fr
Institut Camille Jordan, Université Claude Bernard Lyon 1
équipe Probabilités, statistique, physique mathématique
Bâtiment Braconnier, 43 boulevard du 11 novembre 1918, 69622 Villeurbanne

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