On the Central Limit Property of Convex Bodies

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Concentration of mass on convex bodies (2006, methodology): “We follow an argument of Bobkov–Koldobsky from [6].”
A central limit theorem for convex sets (2006, methodology): “The approach in [1] is based on an application of Busemann’s theorem in dimensionn+1, which leads to the conclusion thatθ 7→ |θ|Mf (t, θ/|θ|)−1 is a norm onRn for any fixed t ≥ 0.”
Interpolating Thin-Shell and Sharp Large-Deviation Estimates for Lsotropic Log-Concave Measures (2010, background): “A stronger version of this conjecture was put forth by Bobkov and Koldobsky [9].”
Bourgain’s slicing problem and KLS isoperimetry up to polylog (2022, background): “It may be shown that most of the mass of the measure μ is located in a spherical shell whose width is at most Cσμ, and this estimate for the width is always tight, hence the name thin-shell constant, see Anttila, Ball and Perissinaki [1] and Bobkov and Koldobsky [6].”