Papers and Preprints

The pdf versions here may be slightly different than the published versions.

• From intersection bodies to dual centroid bodies: a stochastic approach to isoperimetry (with R. Adamczak, G. Paouris and P. Simanjuntak), preprint.

• Limit theorems for the volumes of small codimensional random sections of ℓnp-balls (with R. Adamczak and P. Simanjuntak)

• Stochastic forms of Brunn's principle (with J. Rebollo Bueno)
  Preprint.  PDF

• A stochastic Prekopa-Leindler inequality for log-concave functions (with J. Rebollo Bueno)
  to appear in Communications in Contemporary Mathematics  PDF

• Randomized Urysohn-type inequalities (with T. Hack)
  Mathematika 67 (2021), 100-115.  PDF

• Remarks on the Renyi entropy of a sum of iid random variables (with B. Jaye, G. Livshyts and G. Paouris)
  IEEE Transactions on Information Theory 66 (2020), 2898-2903.  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 non-asymptotic approach (with G. Paouris and P. Valettas)
  Zapiski Nauchnych Seminarov POMI 457 (2017), 286-316.   PDF

• On a quantitative reversal of Alexandrov's inequality (with G. Paouris and P. Valettas),
  Trans. Amer. Math. Soc. 371 (2019), 3309-3324.   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 ball-polyhedra and inequalities for intrinsic volumes (with G. Paouris)
  Monatsh. Math. 182 (2017), 709-729.  PDF

• Sharp bounds for marginal densities of product measures (with G. Livshyts and G. Paouris)
  Israel J. Math. 216 (2016) 877-889.   PDF

• Bounding marginal densities via affine isoperimetry (with S. Dann and G. Paouris)
  Proc. Lond. Math. Soc. 113 (2016), 140-162.  PDF

• Volume of the polar of random sets and shadow systems (with D. Cordero-Erausquin, M. Fradelizi, G. Paouris)
  Math. Ann. 362 (2015), 1305-1325.    PDF

• A central limit theorem for projections of the cube (with G. Paouris and J. Zinn)
  Probab. Theory Related Fields. 159 (2014), 701-719.   PDF

• Small-ball probabilities for the volume of random convex sets (with G. Paouris).
  Discrete Comput. Geom. 49 (2013), no. 3, 601-646.   PDF

• Intrinsic volumes and linear contractions (with G. Paouris).
  Proc. Amer. Math. Soc. 141 (2013), no. 5, 1805-1808   PDF

• A probabilistic take on isoperimetric-type inequalities (with G. Paouris)
  Adv. Math. 230 (2012) 1402-1422   PDF

• On determinants and the volume of random polytopes in isotropic convex bodies
  Geom. Dedicata 149 (2010) 45-58   PDF

• On the volume of caps and bounding the mean-width of an isotropic convex body
  Math. Proc. Cambridge Philos. Soc. 149 (2010), 317-331   PDF

• Volume thresholds for Gaussian and spherical random polytopes and their duals
  Studia Math. 183 (2007), 15-34   PDF

• Random convex bodies lacking symmetric projections, revisited through decoupling
  Lecture Notes in Math., vol. 1910, Springer, 2007, pgs 255-263   PDF