37 citations · 144 across the 42 of their papers we have counts for
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math.MG2015
Measures of sections of convex bodies
Alexander Koldobsky
This article is a survey of recent results on slicing inequalities for convex bodies. The focus is on the setting of arbitrary measures in place of volume.
math.MG2015
Isomorphic Busemann-Petty problem for sections of proportional dimensions
Alexander Koldobsky
We formulate an isomorphic version of the Busemann-Petty problem and solve it in affirmative in the case of sections of proportional dimensions.
math.MG2015★ 1 cited
Stability inequalities for projections of convex bodies
Alexander Koldobsky
We prove several stability and volume difference inequalities for projections of convex bodies and apply them to prove a hyperplane inequality for surface area of projection bodies…