The Fourier transform and Firey projections of convex bodies D Ryabogin, A Zvavitch Indiana University mathematics journal, 667-682, 2004 | 89 | 2004 |
Gaussian Brunn-Minkowski inequalities R Gardner, A Zvavitch Transactions of the American Mathematical Society 362 (10), 5333-5353, 2010 | 78 | 2010 |
The Busemann-Petty problem for arbitrary measures A Zvavitch Mathematische Annalen 331, 867-887, 2005 | 68 | 2005 |
A remark on the Mahler conjecture: local minimality of the unit cube F Nazarov, F Petrov, D Ryabogin, A Zvavitch | 67 | 2010 |
Projections of convex bodies and the Fourier transform A Koldobsky, D Ryabogin, A Zvavitch Israel journal of mathematics 139, 361-380, 2004 | 62 | 2004 |
On the Brunn-Minkowski inequality for general measures with applications to new isoperimetric-type inequalities G Livshyts, A Marsiglietti, P Nayar, A Zvavitch Transactions of the American Mathematical Society 369 (12), 8725-8742, 2017 | 42 | 2017 |
The convexification effect of Minkowski summation M Fradelizi, M Madiman, A Marsiglietti, A Zvavitch EMS Surveys in Mathematical Sciences 5 (1), 1-64, 2018 | 39 | 2018 |
An isomorphic version of the Busemann–Petty problem for arbitrary measures A Koldobsky, A Zvavitch Geometriae Dedicata 174, 261-277, 2015 | 38 | 2015 |
Equipartitions and Mahler volumes of symmetric convex bodies M Fradelizi, A Hubard, M Meyer, E Roldán-Pensado, A Zvavitch American Journal of Mathematics 144 (5), 1201-1219, 2022 | 37 | 2022 |
Embedding Subspaces of Lp into 𝓁Np, 0 < p < 1 G Schechtman, A Zvavitch Mathematische Nachrichten 227 (1), 133-142, 2001 | 33 | 2001 |
Analytic methods in convex geometry D Ryabogin, A Zvavitch IM PAN Lecture Notes 2, 2014 | 27 | 2014 |
Bezout inequality for mixed volumes I Soprunov, A Zvavitch International Mathematics Research Notices 2016 (23), 7230-7252, 2016 | 25 | 2016 |
An application of shadow systems to Mahler’s conjecture M Fradelizi, M Meyer, A Zvavitch Discrete & Computational Geometry 48 (3), 721-734, 2012 | 22 | 2012 |
General measure extensions of projection bodies D Langharst, M Roysdon, A Zvavitch Proceedings of the London Mathematical Society 125 (5), 1083-1129, 2022 | 20 | 2022 |
Brunn-Minkowski type inequalities for the lattice point enumerator D Iglesias, JY Nicolás, A Zvavitch Advances in Mathematics 370, 107193, 2020 | 20 | 2020 |
Do Minkowski averages get progressively more convex? M Fradelizi, M Madiman, A Marsiglietti, A Zvavitch Comptes Rendus. Mathématique 354 (2), 185-189, 2016 | 19 | 2016 |
A remark on the extremal non-central sections of the unit cube J Moody, C Stone, D Zach, A Zvavitch Asymptotic Geometric Analysis: Proceedings of the Fall 2010 Fields Institute …, 2013 | 19 | 2013 |
The geometry of p-convex intersection bodies J Kim, V Yaskin, A Zvavitch Advances in Mathematics 226 (6), 5320-5337, 2011 | 19 | 2011 |
The critical probability for Voronoi percolation A Zvavitch | 19 | 1996 |
Polytopes of maximal volume product M Alexander, M Fradelizi, A Zvavitch Discrete & Computational Geometry 62, 583-600, 2019 | 18 | 2019 |