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 | 26 | 2017 |
Optimal packings of congruent circles on a square flat torus OR Musin, AV Nikitenko Discrete & Computational Geometry 55, 1-20, 2016 | 26 | 2016 |
Poisson–Delaunay Mosaics of Order k H Edelsbrunner, A Nikitenko Discrete & computational geometry 62, 865-878, 2019 | 12 | 2019 |
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 | 9 | 2018 |
Weighted Poisson--Delaunay Mosaics H Edelsbrunner, A Nikitenko Theory of Probability & Its Applications 64 (4), 595-614, 2020 | 4 | 2020 |
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 | 4 | 2017 |
Average and expected distortion of Voronoi paths and scapes H Edelsbrunner, A Nikitenko Discrete & Computational Geometry, 1-10, 2024 | 3 | 2024 |
Integrating by spheres: summary of Blaschke-Petkantschin formulas A Nikitenko arXiv preprint arXiv:1904.10750, 2019 | 3 | 2019 |
The beauty of random polytopes inscribed in the 2-sphere A Akopyan, H Edelsbrunner, A Nikitenko Experimental Mathematics, 1-15, 2021 | 1 | 2021 |
A step in the Delaunay mosaic of order k H Edelsbrunner, A Nikitenko, G Osang Journal of Geometry 112, 1-14, 2021 | 1 | 2021 |
Discrete Morse theory for random complexes A Nikitenko | 1 | 2017 |
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 |
Genom rearrangement model, permutations, alternating cycles and random matrices N Alekseev, A Nikitenko | | |
On the position of the leftmost particle in branching random walks A Nikitenko | | |