Undergraduate thesis : Study of the superconcentration phenomon ( based on S.Chatterjee’s article) (in french)
Thesis : Some superconcentration inequalities : theory and applications (in french)
Talk about superconcentration
Basic lectures notes about superconcentration. This note is based on a talk I gave in the student seminar in Nantes
Informal note about hypercontractivity and concentration theory. Comments are welcome.
- Autour de l’hypercontractivité
J’ai tenté de rassembler dans les notes qui suivent des méthodes qui pourraient être utiles dans l’étude du phénomène de superconcentration.
- Notes Efron-stein – (Basées sur le livre Concentration inequalities de S.Boucheron, G.Lugosi et P. Massart)
Research articles :
- Some Superconcentration inequalities for extrema of stationnary Gaussian processes (published in Statistics and probability letters 11/2015)
Non Asymptotic Variance Bounds and Deviations inequalities by Optimal Transport (preprint 08/2017, submitted the 28/08/17)
- Talagrand’s inequality at higher order and application to Boolean analysis (preprint, submitted 26/01/18).
- Remarks on Superconcentration and Gamma calculus. Applications to Spin Glasses.(submitted 29/03/18).
- Deviation inequalities for Convex functions
Slides from Talks :
Slides from the talk I gave at St Flour summer school (15/07/2015)
- Some superconcentration inequalities for extrema of stationary Gaussian process (Beamer st flour)
Slides from the talk I gave at Marne la Vallée (26/01/16)
- Some superconcentration inequalities for extrema of stationary Gaussian process (Exposé Marne la Vallée )
- Superconcentration phenomenon : a Survey ( Work in progress)
Slides from a Talk I gave in Liège’s university