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math.PR2017★ 3 cited
Rigidity phenomenons for an infinite dimension diffusion operator and cases of near equality in the Bakry--Ledoux isoperimetric comparison Theorem
Raphael Bouyrie
We study rigidity phenomenons for infinite dimension diffusion operators of positive curvature using semigroup interpolations. In particular, for such diffusions, an analogous stat…
math.PR2017★ 2 cited
An unified approach to the Junta theorem for discrete and continuous models
Raphaël Bouyrie
In a recent paper, T. Austin has proved an analogous theorem for the continuous torus of the original Junta theorem proved by Friedgut in the case of the Boolean cube. Analogous st…
math.PR2014
On quantitative noise stability and influences for discrete and continuous models
Raphaël Bouyrie
Keller and Kindler recently established a quantitative version of the famous Benjamini~--Kalai--Schramm Theorem on noise sensitivity of Boolean functions. The result was extended t…