78 citations · 138 across the 27 of their papers we have counts for
38 papers
Expected mixed volumes of convex hulls of random walks and Lévy processes
Artyom Bolotin, Dmitry Zaporozhets
Let be the convex hulls of independent partial-sum processes in whose increments are exchangeable within each process. We express the expected mixed…
On Steiner entire function
Maria Dospolova, Mikhail Germanskov, Dmitry Zaporozhets
We introduce and study the Steiner entire function, an analytic generating function for the intrinsic volumes of a convex compact set in a Hilbert space. This function extends the…
Intrinsic volumes of ellipsoids
Anna Gusakova, Evgeny Spodarev, Dmitry Zaporozhets
We deduce explicit formulae for the intrinsic volumes of an ellipsoid in , , in terms of elliptic integrals. Namely, for an ellipsoid ${\mathcal E}\subset \mat…
What Should Future Wireless Network Architectures Be?
Lu Yang, Ping Li, Miaomiao Dong +5
The accelerated convergence of digital and real-world lifestyles has imposed unprecedented demands on today's wireless network architectures, as it is highly desirable for such arc…
Sharp inequalities for the mean distance of random points in convex bodies
Gilles Bonnet, Anna Gusakova, Christoph Thäle +1
For a convex body the mean distance is the expected Euclidean distance of two independent and uniformly distributed random points…
Angle sums of random polytopes
Thomas Godland, Zakhar Kabluchko, Dmitry Zaporozhets
For two families of random polytopes we compute explicitly the expected sums of the conic intrinsic volumes and the Grassmann angles at all faces of any given dimension of the poly…