Follow
Anton Nikitenko
Anton Nikitenko
Verified email at ist.ac.at
Title
Cited by
Cited by
Year
Expected sizes of Poisson–Delaunay mosaics and their discrete Morse functions
H Edelsbrunner, A Nikitenko, M Reitzner
Advances in Applied Probability 49 (3), 745-767, 2017
222017
Optimal packings of congruent circles on a square flat torus
OR Musin, AV Nikitenko
Discrete & Computational Geometry 55, 1-20, 2016
222016
Poisson–Delaunay Mosaics of Order k
H Edelsbrunner, A Nikitenko
Discrete & computational geometry 62, 865-878, 2019
122019
Random inscribed polytopes have similar radius functions as Poisson–Delaunay mosaics
H Edelsbrunner, A Nikitenko
The Annals of Applied Probability 28 (5), 3215-3238, 2018
92018
Weighted Poisson--Delaunay Mosaics
H Edelsbrunner, A Nikitenko
Theory of Probability & Its Applications 64 (4), 595-614, 2020
42020
The Voronoi functional is maximized by the Delaunay triangulation in the plane
H Edelsbrunner, A Glazyrin, OR Musin, A Nikitenko
Combinatorica 37 (5), 887-910, 2017
42017
Integrating by spheres: summary of Blaschke-Petkantschin formulas
A Nikitenko
arXiv preprint arXiv:1904.10750, 2019
32019
The beauty of random polytopes inscribed in the 2-sphere
A Akopyan, H Edelsbrunner, A Nikitenko
Experimental Mathematics, 1-15, 2021
12021
A step in the Delaunay mosaic of order k
H Edelsbrunner, A Nikitenko, G Osang
Journal of Geometry 112, 1-14, 2021
12021
Discrete Morse theory for random complexes
A Nikitenko
12017
Average and Expected Distortion of Voronoi Paths and Scapes
H Edelsbrunner, A Nikitenko
arXiv preprint arXiv:2012.03350, 2020
2020
ABEL SYMPOSIA
H Edelsbrunner, A Nikitenko, K Ölsböck, P Synak, K Turner, ...
2020
Radius functions on Poisson–Delaunay mosaics and related complexes experimentally
H Edelsbrunner, A Nikitenko, K Ölsböck, P Synak
Topological Data Analysis: The Abel Symposium 2018, 181-218, 2020
2020
The system can't perform the operation now. Try again later.
Articles 1–13