9 citations · 20 across the 14 of their papers we have counts for
5 papers · 1 filter
On Gilles Pisier's approach to gaussian concentration, isoperimetry and Poincaré-type inequalities
Sergey G. Bobkov, Bruno Volzone
We discuss a natural extension of Gilles Pisier's approach to the study of measure concentration, isoperimetry and Poincaré-type inequalities. This approach allows one to explore c…
Rényi divergence and the central limit theorem
S. G. Bobkov, G. P. Chistyakov, F. Götze
We explore properties of the and more general Rényi (Tsallis) distances to the normal law. In particular we provide necessary and sufficient conditions for the convergence to…
Bounds on the deficit in the logarithmic Sobolev inequality
Sergey Bobkov, Nathael Gozlan, Cyril Roberto +1
The de cit in the logarithmic Sobolev inequality for the Gaussian measure is considered and estimated by means of transport and information-theoretic distances.
Hyperbolic Measures on Infinite Dimensional Spaces
Sergey G. Bobkov, James Melbourne
Localization and dilation procedures are discussed for infinite dimensional -concave measures on abstract locally convex spaces (following Borell's hierarchy of hyperbolic measu…
Fisher information and the central limit theorem
S. G. Bobkov, G. P. Chistyakov, F. Götze
An Edgeworth-type expansion is established for the relative Fisher information distance to the class of normal distributions of sums of i.i.d. random variables, satisfying moment c…