D. Zaporozhets

发表

Expected volumes of Gaussian polytopes, external angles, and multiple order statistics

Z. Kabluchko, D. Zaporozhets, 2017, Transactions of the American Mathematical Society.

Convex hulls of multidimensional random walks

D. Zaporozhets, V. Vysotsky, 2015, Transactions of the American Mathematical Society.

Convex hulls of random walks, hyperplane arrangements, and Weyl chambers

Dmitry Zaporozhets, Zakhar Kabluchko, Vladislav Vysotsky, 2015, 1510.04073.

A multidimensional analogue of the arcsine law for the number of positive terms in a random walk

Z. Kabluchko, D. Zaporozhets, V. Vysotsky, 2016, Bernoulli.

Angle sums of random polytopes

Z. Kabluchko, D. Zaporozhets, Thomas Godland, 2020, 2007.02590.

Beta polytopes and Poisson polyhedra: f-vectors and angles

Z. Kabluchko, D. Zaporozhets, C. Thaele, 2018, Advances in Mathematics.

Absorption probabilities for Gaussian polytopes and regular spherical simplices

Dmitry Zaporozhets, Zakhar Kabluchko, Z. Kabluchko, 2017, Advances in Applied Probability.

Convex hulls of several multidimensional Gaussian random walks

D. Zaporozhets, J. Randon-Furling, 2020, 2007.02768.

Convex hulls of random walks: expected number of faces and face probabilities

Z. Kabluchko, D. Zaporozhets, V. Vysotsky, 2016, 1612.00249.

On the History of St. Petersburg School of Probability and Mathematical Statistics: II. Random Processes and Dependent Variables

I. Ibragimov, M. Lifshits, D. Zaporozhets, 2018, Vestnik St. Petersburg University, Mathematics.

Roots of random polynomials whose coefficients have logarithmic tails

Z. Kabluchko, D. Zaporozhets, 2011, 1110.2585.

An Improved Multivariate Version of Kolmogorov’s Second Uniform Limit Theorem

A. Zaitsev, D. Zaporozhets, F. Gotze, 2019, Journal of Mathematical Sciences.

A MULTIVARIATE VERSION OF KOLMOGOROV’S SECOND UNIFORM LIMIT THEOREM

F. Götze, A. Zaitsev, D. Zaporozhets, 2019 .

Correlations between real conjugate algebraic numbers

D. Zaporozhets, F. Gotze, Dzianis Kaliada, 2015, 1510.00536.

Joint distribution of conjugate algebraic numbers: a random polynomial approach

D. Zaporozhets, F. Gotze, D. Koleda, 2017, 1703.02289.

Intrinsic volumes of Sobolev balls

Z. Kabluchko, D. Zaporozhets, 2014 .

Convex hulls of random walks, hyperplane arrangements, and Weyl chambers

Z. Kabluchko, D. Zaporozhets, V. Vysotsky, 2017, Geometric and Functional Analysis.

Random Determinants, Mixed Volumes of Ellipsoids, and Zeros of Gaussian Random Fields

Z. Kabluchko, D. Zaporozhets, 2012, 1206.0371.

Intrinsic volumes of ellipsoids

D. Zaporozhets, E. Spodarev, A. Gusakova, 2022, 2206.14002.

Random Determinants, Mixed Volumes of Ellipsoids, and Zeros of Gaussian Random Fields

Z. Kabluchko, D. Zaporozhets, 2014, Journal of Mathematical Sciences.

Mean Width of Regular Polytopes and Expected Maxima of Correlated Gaussian Variables

A. Litvak, Z. Kabluchko, D. Zaporozhets, 2017, Journal of Mathematical Sciences.

Generalized Busemann inequality

D. Zaporozhets, A. Litvak, 2020, 2007.06743.

Random section and random simplex inequality

A. Litvak, D. Zaporozhets, 2020, 2007.06743.

Mean Width of Regular Polytopes and Expected Maxima of Correlated Gaussian Variables

A. Litvak, Z. Kabluchko, D. Zaporozhets, 2015, 1511.08479.

Asymptotic distribution of complex zeros of random analytic functions

Z. Kabluchko, D. Zaporozhets, 2014, 1407.6523.

On Distribution of Zeros of Random Polynomials in Complex Plane

I. Ibragimov, D. Zaporozhets, I. Ibragimov, 2011, 1102.3517.

Inclusion–Exclusion Principles for Convex Hulls and the Euler Relation

Günter Last, Dmitry Zaporozhets, Zakhar Kabluchko, 2016, Discret. Comput. Geom..

Intrinsic volumes of Sobolev balls with applications to Brownian convex hulls

Z. Kabluchko, D. Zaporozhets, 2014, 1404.6113.

Discriminant and Root Separation of Integral Polynomials

D. Zaporozhets, F. Götze, 2016, Journal of Mathematical Sciences.

Sharp inequalities for the mean distance of random points in convex bodies

D. Zaporozhets, Gilles Bonnet, Christoph Thale, 2020, 2010.03351.

Joint distribution of conjugate algebraic numbers: A random polynomial approach

F. Götze, D. Zaporozhets, D. Koleda, 2017, Advances in Mathematics.

Correlations between real and complex zeros of a random polynomial

D. Zaporozhets, F. Gotze, D. Koleda, 2016, 1610.03610.

Correlation Functions of Real Zeros of Random Polynomials

D. Zaporozhets, D. Kaliada, Friedrich Gotze, 2015, 1510.00025.

Set Reconstruction by Voronoi Cells

D. Zaporozhets, M. Reitzner, E. Spodarev, 2011, Advances in Applied Probability.

What is the Least Expected Number of Real Roots of a Random Polynomial

D. Zaporozhets, A. Nazarov, 2009 .

On random surface area

D. Zaporozhets, I. A. Ibragimov, 2011, 1102.3509.

Distribution of complex algebraic numbers

D. Zaporozhets, F. Gotze, D. Kaliada, 2014, 1410.3623.

Universality for zeros of random analytic functions

Z. Kabluchko, D. Zaporozhets, 2012, 1205.5355.

Angles of the Gaussian Simplex

Z. Kabluchko, D. Zaporozhets, 2018, Journal of Mathematical Sciences.