56 citations · 199 across the 30 of their papers we have counts for
32 papers
Energy Bounds for Kantorovich Transport Distances with Convex Cost Functions
Sergey Bobkov, Friedrich Götze
Energy bounds for Kantorovich transport distances are developed for convex cost functions. The main results extend estimates due to M. Ledoux for the Kantorovich distances .
On Subgradients of Convex Functions and Orlicz Pseudo-Norms for Vector-Valued Functions
Sergey G. Bobkov, Friedrich Götze
We discuss variants of construction of measurable subgradients for multivariate convex functions and the problem of characterization of the -condition in terms of their direct…
Quantified Cramér-Wold Continuity Theorem for the Kantorovich Transport Distance
Sergey G. Bobkov, Friedrich Götze
An upper bound for the Kantorovich transport distance between probability measures on multidimensional Euclidean spaces is given in terms of transport distances between one dimensi…
Concentration of measure on spheres and related manifolds
Friedrich Götze, Holger Sambale
We study various generalizations of concentration of measure on the unit sphere, in particular by means of log-Sobolev inequalities. First, we show Sudakov-type concentration resul…
Berry-Esseen bounds in local limit theorems
Sergey Bobkov, Friedrich Götze
Berry-Esseen-type bounds are developed in the multidimensional local limit theorem in terms of the Lyapunov coefficients and maxima of involved densities.
Esscher Transform and the Central Limit Theorem
Sergey Bobkov, Friedrich Götze
The paper is devoted to the investigation of Esscher's transform on high dimensional Euclidean spaces in the light of its application to the central limit theorem. With this tool,…