Blaschke-Santalo inequality for many functions and geodesic barycenters of measures
arXiv:2010.00135.
Jointly with A. V. Kolesnikov.
Convex Floating Bodies of Equilibrium
arXiv:2010.09006.
Jointly with D.I. Florentin, C. Schuett, N. Zhang.
Surface area deviation between smooth convex bodies and polytopes
arXiv:1811.04656
Jointly with J. Grote and Ch. Thaele.
The convex hull of random points on the boundary of a simple polytope
arXiv: 1911.05917.
Jointly with M. Reitzner and C. Schuett.
Pinsker inequalities and related Monge-Ampere
equations for log concave functions
arXiv:2005.07055, to appear in Indiana Univ.Math.J.
Jointly with U. Caglar, A. V. Kolesnikov.
Duality of Floating and Illumination Bodies for Polytopes,
arXiv:1709.02429, to appear in Journal of Discrete Analysis.
Jointly with Olaf Mordhorst.
Asymptotic normality for random simplices and convex bodies in high
dimensions
arXiv: 1906.02471. Proceedings AMS 149 (2021).
Jointly with D.Alonso-Gutierrez, F.Besau, J.Grote, Z.Kabluchko, M.Reitzner, C.Thaele, B.Vritsiou.
The Loewner function of a log-concave function
arXiv: 1904.01211. Journal of Geometric Analysis 31 (2021).
Jointly with Ben Li and Carsten Schuett.
Constrained convex bodies with extremal affine surface areas
arXiv: 1908.07897, Journal of Functional Analysis 279 (2020).
Jointly with O. Giladi, H. Huang, C. Schuett
A Steiner formula in the $L_p$ Brunn Minkowski theory
arXiv:1811.07225, Advances in Math. 355 (2019).
Jointly with Kateryna Tatarko.
Surface area deviation between smooth convex bodies and polytopes
arXiv:1811.04656.
Jointly with Julian Grote and Christoph Thaele.
Duality of Floating and Illumination Bodies,
arXiv:1709.02424, Indiana Univ. Math. J.69 (2020).
Jointly with Olaf Mordhorst.
Data depth and floating body,
arXiv:1809.10925, Statistics Surveys 13 (2019), 52-118.
Jointly with Stanislav Nagy and Carsten Schuett.
Ulam Floating bodies,
arXiv:1803.08224, Journal of London Math. Society 100 (2019).
Jointly with Han Huang and Boaz Slomka.
Floating Functions,
arXiv: 1711.11088, Israel J. Math.231 (2019).
Jointly with Ben Li and Carsten Schuett.
Flag Numbers and Floating Bodies,
arXiv:1805.11287, Advances in Math. 338 (2018).
Jointly with Florian Besau and Carsten Schuett.
Approximation of smooth convex bodies by random polytopes,
Electronic Journal of Probability 23, (2018).
Jointly with Julian Grote.
One Dimensional Regularizations of the Coulomb Potential with Application to Atoms in Strong Magnetic Fields
DIFFERENTIAL EQUATIONS AND MATHEMATICAL PhYSICS, 43-51 International Press, (2000)
Jointly with M. B. Ruskai and R. Brummelhuis