2 citations · 2 across the 8 of their papers we have counts for
4 papers · 1 filter
Zonoids whose polars are zonoids: the Banach--Mazur distance need not tend to one
Dmitry Ryabogin, Artem Zvavitch
For every , we consider a Gaussian zonoid of revolution arising from works of Vitale and Mathis. We prove that is also a zonoid and compute the Banach--Mazur…
Isomorphic Busemann--Petty for arbitrary measures: the sharp order
Alexander Koldobsky, Artem Zvavitch
Let be the optimal constant with the following property. For every even, continuous, strictly positive density on and all origin-symmetric convex bodies $K,L\subset…
Weighted Brunn-Minkowski Theory II: Inequalities for Mixed Measures and Applications
Matthieu Fradelizi, Dylan Langharst, Mokshay Madiman +1
In "Weighted Brunn-Minkowski Theory I", the prequel to this work, we discussed how recent developments on concavity of measures have laid the foundations of a nascent weighted Brun…
Measure comparison and distance inequalities for convex bodies
Alexander Koldobsky, Grigoris Paouris, Artem Zvavitch
We prove new versions of the isomorphic Busemann-Petty problem for two different measures and show how these results can be used to recover slicing and distance inequalities. We al…