Anton Nikitenko
Edelsbrunner Group
10 Publications
2021 | Journal Article | IST-REx-ID: 9465 | 
Edelsbrunner, H., Nikitenko, A., & Osang, G. F. (2021). A step in the Delaunay mosaic of order k. Journal of Geometry. Springer Nature. https://doi.org/10.1007/s00022-021-00577-4
[Published Version]
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| DOI
2021 | Journal Article | IST-REx-ID: 10222 |
Akopyan, A., Edelsbrunner, H., & Nikitenko, A. (2021). The beauty of random polytopes inscribed in the 2-sphere. Experimental Mathematics. Taylor and Francis. https://doi.org/10.1080/10586458.2021.1980459
[Published Version]
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| Files available
| DOI
| WoS
| arXiv
2020 | Conference Paper | IST-REx-ID: 8135 |
Edelsbrunner, H., Nikitenko, A., Ölsböck, K., & Synak, P. (2020). Radius functions on Poisson–Delaunay mosaics and related complexes experimentally. In Topological Data Analysis (Vol. 15, pp. 181–218). Springer Nature. https://doi.org/10.1007/978-3-030-43408-3_8
[Submitted Version]
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| Files available
| DOI
2020 | Journal Article | IST-REx-ID: 7554 |
Edelsbrunner, H., & Nikitenko, A. (2020). Weighted Poisson–Delaunay mosaics. Theory of Probability and Its Applications. SIAM. https://doi.org/10.1137/S0040585X97T989726
[Preprint]
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| DOI
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| WoS
| arXiv
2019 | Journal Article | IST-REx-ID: 5678 |
Edelsbrunner, H., & Nikitenko, A. (2019). Poisson–Delaunay Mosaics of Order k. Discrete and Computational Geometry. Springer. https://doi.org/10.1007/s00454-018-0049-2
[Published Version]
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| Files available
| DOI
| WoS
| arXiv
2018 | Journal Article | IST-REx-ID: 87 |
Edelsbrunner, H., & Nikitenko, A. (2018). Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics. Annals of Applied Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/18-AAP1389
[Preprint]
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| Files available
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| WoS
| arXiv
2017 | Journal Article | IST-REx-ID: 718 |
Edelsbrunner, H., Nikitenko, A., & Reitzner, M. (2017). Expected sizes of poisson Delaunay mosaics and their discrete Morse functions. Advances in Applied Probability. Cambridge University Press. https://doi.org/10.1017/apr.2017.20
[Preprint]
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| Files available
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| arXiv
2017 | Thesis | IST-REx-ID: 6287 |
Nikitenko, A. (2017). Discrete Morse theory for random complexes . Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:th_873
[Published Version]
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| Files available
| DOI
2017 | Journal Article | IST-REx-ID: 1173 |
Edelsbrunner, H., Glazyrin, A., Musin, O., & Nikitenko, A. (2017). The Voronoi functional is maximized by the Delaunay triangulation in the plane. Combinatorica. Springer. https://doi.org/10.1007/s00493-016-3308-y
[Submitted Version]
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| DOI
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| WoS
2016 | Journal Article | IST-REx-ID: 1222 |
Musin, O., & Nikitenko, A. (2016). Optimal packings of congruent circles on a square flat torus. Discrete & Computational Geometry. Springer. https://doi.org/10.1007/s00454-015-9742-6
[Preprint]
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| DOI
| Download Preprint (ext.)
10 Publications
2021 | Journal Article | IST-REx-ID: 9465 |
Edelsbrunner, H., Nikitenko, A., & Osang, G. F. (2021). A step in the Delaunay mosaic of order k. Journal of Geometry. Springer Nature. https://doi.org/10.1007/s00022-021-00577-4
[Published Version]
View
| Files available
| DOI
2021 | Journal Article | IST-REx-ID: 10222 |
Akopyan, A., Edelsbrunner, H., & Nikitenko, A. (2021). The beauty of random polytopes inscribed in the 2-sphere. Experimental Mathematics. Taylor and Francis. https://doi.org/10.1080/10586458.2021.1980459
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2020 | Conference Paper | IST-REx-ID: 8135 |
Edelsbrunner, H., Nikitenko, A., Ölsböck, K., & Synak, P. (2020). Radius functions on Poisson–Delaunay mosaics and related complexes experimentally. In Topological Data Analysis (Vol. 15, pp. 181–218). Springer Nature. https://doi.org/10.1007/978-3-030-43408-3_8
[Submitted Version]
View
| Files available
| DOI
2020 | Journal Article | IST-REx-ID: 7554 |
Edelsbrunner, H., & Nikitenko, A. (2020). Weighted Poisson–Delaunay mosaics. Theory of Probability and Its Applications. SIAM. https://doi.org/10.1137/S0040585X97T989726
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2019 | Journal Article | IST-REx-ID: 5678 |
Edelsbrunner, H., & Nikitenko, A. (2019). Poisson–Delaunay Mosaics of Order k. Discrete and Computational Geometry. Springer. https://doi.org/10.1007/s00454-018-0049-2
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
2018 | Journal Article | IST-REx-ID: 87 |
Edelsbrunner, H., & Nikitenko, A. (2018). Random inscribed polytopes have similar radius functions as Poisson-Delaunay mosaics. Annals of Applied Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/18-AAP1389
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
2017 | Journal Article | IST-REx-ID: 718 |
Edelsbrunner, H., Nikitenko, A., & Reitzner, M. (2017). Expected sizes of poisson Delaunay mosaics and their discrete Morse functions. Advances in Applied Probability. Cambridge University Press. https://doi.org/10.1017/apr.2017.20
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
2017 | Thesis | IST-REx-ID: 6287 |
Nikitenko, A. (2017). Discrete Morse theory for random complexes . Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:th_873
[Published Version]
View
| Files available
| DOI
2017 | Journal Article | IST-REx-ID: 1173 |
Edelsbrunner, H., Glazyrin, A., Musin, O., & Nikitenko, A. (2017). The Voronoi functional is maximized by the Delaunay triangulation in the plane. Combinatorica. Springer. https://doi.org/10.1007/s00493-016-3308-y
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
| WoS
2016 | Journal Article | IST-REx-ID: 1222 |
Musin, O., & Nikitenko, A. (2016). Optimal packings of congruent circles on a square flat torus. Discrete & Computational Geometry. Springer. https://doi.org/10.1007/s00454-015-9742-6
[Preprint]
View
| DOI
| Download Preprint (ext.)