Peter PivovarovPapers and Preprints
The pdf versions here may be slightly different than the published versions.
 A stochastic PrekopaLeindler inequality for logconcave functions (with J. Rebollo Bueno)
Preprint. PDF
 Randomized Urysohntype inequalities (with
T. Hack)
Preprint. PDF
 Remarks on the Renyi entropy of a sum of iid random variables
(with B. Jaye, G. Livshyts and G. Paouris)
Preprint, to appear in IEEE Transactions on Information Theory PDF
 Spherical centroid bodies (with F. Besau, T. Hack and
F. Schuster)
Preprint. PDF
 Affine isoperimetric inequalities on flag manifolds (with
S. Dann and G. Paouris)
Preprint. PDF
 Gaussian convex bodies: a nonasymptotic approach (with
G. Paouris and P. Valettas)
Zapiski Nauchnych Seminarov POMI 457
(2017), 286316. PDF
 On a quantitative reversal of Alexandrov's inequality (with
G. Paouris and P. Valettas),
to appear in Trans. Amer. Math. Soc. PDF
 Randomized isoperimetric inequalities (with G. Paouris)
In "Convexity and Concentration" (Carlen, Madiman,
and Werner, eds.) Institute for Mathematics and its Applications Vol
161, Springer, 2017.
PDF
 Random ballpolyhedra and inequalities for intrinsic volumes
(with
G. Paouris)
Monatsh. Math. 182 (2017),
709729. PDF
 Sharp bounds for marginal densities of product measures (with
G. Livshyts and
G. Paouris)
Israel J. Math. 216 (2016)
877889. PDF
 Bounding marginal densities via affine isoperimetry (with S. Dann and G. Paouris)
Proc. Lond. Math. Soc. 113 (2016),
140162. PDF
 Volume of the polar of random sets and shadow systems (with
D. CorderoErausquin, M. Fradelizi,
G. Paouris)
Math. Ann. 362 (2015), 13051325.
PDF
 A central limit theorem for projections of the cube (with
G. Paouris and
J. Zinn)
Probab. Theory Related Fields. 159 (2014),
701719.
PDF
 Smallball probabilities for the volume of random convex sets
(with G. Paouris).
Discrete Comput. Geom. 49 (2013), no. 3, 601646.
PDF
 Intrinsic volumes and linear contractions (with G. Paouris).
Proc. Amer. Math. Soc. 141 (2013), no. 5, 18051808 PDF
 A probabilistic take on isoperimetrictype inequalities (with
G. Paouris)
Adv. Math. 230 (2012) 14021422
PDF
 On determinants and the volume of random polytopes in isotropic
convex bodies
Geom. Dedicata 149 (2010) 4558 PDF
 On the volume of caps and bounding the meanwidth of an isotropic convex body
Math. Proc. Cambridge Philos. Soc. 149 (2010), 317331
PDF
 Volume thresholds for Gaussian and spherical random polytopes and
their duals
Studia Math. 183 (2007), 1534
PDF
 Random convex bodies lacking symmetric projections, revisited
through decoupling
Lecture Notes in Math., vol. 1910, Springer, 2007,
pgs 255263 PDF
