Arseniy Akopyan

Edelsbrunner Group

31 Publications

Mark all

[31]
2023 | Journal Article | IST-REx-ID: 12544 | OA
Koehl, P., Akopyan, A., & Edelsbrunner, H. (2023). Computing the volume, surface area, mean, and Gaussian curvatures of molecules and their derivatives. Journal of Chemical Information and Modeling. American Chemical Society. https://doi.org/10.1021/acs.jcim.2c01346
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 
[30]
2022 | Journal Article | IST-REx-ID: 7791 | OA
Akopyan, A., & Karasev, R. (2022). When different norms lead to same billiard trajectories? European Journal of Mathematics. Springer Nature. https://doi.org/10.1007/s40879-020-00405-0
[Published Version] View | Files available | DOI | arXiv
 
[29]
2021 | Journal Article | IST-REx-ID: 10222 | OA
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
 
[28]
2021 | Journal Article | IST-REx-ID: 8338 | OA
Akopyan, A., Bobenko, A. I., Schief, W. K., & Techter, J. (2021). On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs. Discrete and Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-020-00240-w
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[27]
2020 | Journal Article | IST-REx-ID: 8538 | OA
Akopyan, A., Schwartz, R., & Tabachnikov, S. (2020). Billiards in ellipses revisited. European Journal of Mathematics. Springer Nature. https://doi.org/10.1007/s40879-020-00426-9
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[26]
2020 | Book Chapter | IST-REx-ID: 74 | OA
Akopyan, A., & Karasev, R. (2020). Gromov’s waist of non-radial Gaussian measures and radial non-Gaussian measures. In B. Klartag & E. Milman (Eds.), Geometric Aspects of Functional Analysis (Vol. 2256, pp. 1–27). Springer Nature. https://doi.org/10.1007/978-3-030-36020-7_1
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[25]
2020 | Journal Article | IST-REx-ID: 10867 | OA
Akopyan, A., & Karasev, R. (2020). Waist of balls in hyperbolic and spherical spaces. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rny037
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[24]
2020 | Journal Article | IST-REx-ID: 9157 | OA
Akopyan, A., & Edelsbrunner, H. (2020). The weighted mean curvature derivative of a space-filling diagram. Computational and Mathematical Biophysics. De Gruyter. https://doi.org/10.1515/cmb-2020-0100
[Published Version] View | Files available | DOI
 
[23]
2020 | Journal Article | IST-REx-ID: 9156 | OA
Akopyan, A., & Edelsbrunner, H. (2020). The weighted Gaussian curvature derivative of a space-filling diagram. Computational and Mathematical Biophysics. De Gruyter. https://doi.org/10.1515/cmb-2020-0101
[Published Version] View | Files available | DOI | arXiv
 
[22]
2019 | Journal Article | IST-REx-ID: 6050 | OA
Akopyan, A., & Fedorov, R. (2019). Two circles and only a straightedge. Proceedings of the American Mathematical Society. AMS. https://doi.org/10.1090/proc/14240
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[21]
2019 | Journal Article | IST-REx-ID: 6419 | OA
Pokusaeva, V., Usmanova, D. R., Putintseva, E. V., Espinar, L., Sarkisyan, K., Mishin, A. S., … Kondrashov, F. (2019). An experimental assay of the interactions of amino acids from orthologous sequences shaping a complex fitness landscape. PLoS Genetics. Public Library of Science. https://doi.org/10.1371/journal.pgen.1008079
[Published Version] View | Files available | DOI | WoS
 
[20]
2019 | Research Data Reference | IST-REx-ID: 9790
Pokusaeva, V., Usmanova, D. R., Putintseva, E. V., Espinar, L., Sarkisyan, K., Mishin, A. S., … Kondrashov, F. (2019). A statistical summary of segment libraries and sequencing results. Public Library of Science. https://doi.org/10.1371/journal.pgen.1008079.s011
[Published Version] View | Files available | DOI
 
[19]
2019 | Research Data Reference | IST-REx-ID: 9797
Pokusaeva, V., Usmanova, D. R., Putintseva, E. V., Espinar, L., Sarkisyan, K., Mishin, A. S., … Kondrashov, F. (2019). A statistical summary of segment libraries and sequencing results. Public Library of Science. https://doi.org/10.1371/journal.pgen.1008079.s011
[Published Version] View | Files available | DOI
 
[18]
2019 | Research Data Reference | IST-REx-ID: 9789
Pokusaeva, V., Usmanova, D. R., Putintseva, E. V., Espinar, L., Sarkisyan, K., Mishin, A. S., … Kondrashov, F. (2019). Multiple alignment of His3 orthologues. Public Library of Science. https://doi.org/10.1371/journal.pgen.1008079.s010
[Published Version] View | Files available | DOI
 
[17]
2019 | Journal Article | IST-REx-ID: 6634 | OA
Akopyan, A., Hubard, A., & Karasev, R. (2019). Lower and upper bounds for the waists of different spaces. Topological Methods in Nonlinear Analysis. Akademicka Platforma Czasopism. https://doi.org/10.12775/TMNA.2019.008
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[16]
2019 | Journal Article | IST-REx-ID: 6793 | OA
Akopyan, A., & Izmestiev, I. (2019). The Regge symmetry, confocal conics, and the Schläfli formula. Bulletin of the London Mathematical Society. London Mathematical Society. https://doi.org/10.1112/blms.12276
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[15]
2018 | Journal Article | IST-REx-ID: 692 | OA
Akopyan, A. (2018). 3-Webs generated by confocal conics and circles. Geometriae Dedicata. Springer. https://doi.org/10.1007/s10711-017-0265-6
[Published Version] View | Files available | DOI | WoS
 
[14]
2018 | Journal Article | IST-REx-ID: 58 | OA
Akopyan, A., & Segal Halevi, E. (2018). Counting blanks in polygonal arrangements. SIAM Journal on Discrete Mathematics. Society for Industrial and Applied Mathematics . https://doi.org/10.1137/16M110407X
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[13]
2018 | Journal Article | IST-REx-ID: 458 | OA
Akopyan, A., & Bobenko, A. (2018). Incircular nets and confocal conics. Transactions of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/tran/7292
[Preprint] View | DOI | Download Preprint (ext.) | WoS
 
[12]
2018 | Journal Article | IST-REx-ID: 106 | OA
Akopyan, A., & Petrunin, A. (2018). Long geodesics on convex surfaces. Mathematical Intelligencer. Springer. https://doi.org/10.1007/s00283-018-9795-5
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[11]
2018 | Journal Article | IST-REx-ID: 409 | OA
Akopyan, A. (2018). On the number of non-hexagons in a planar tiling. Comptes Rendus Mathematique. Elsevier. https://doi.org/10.1016/j.crma.2018.03.005
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[10]
2018 | Journal Article | IST-REx-ID: 6355 | OA
Akopyan, A., & Avvakumov, S. (2018). Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2018.7
[Published Version] View | Files available | DOI | WoS | arXiv
 
[9]
2018 | Journal Article | IST-REx-ID: 1064 | OA
Akopyan, A., Balitskiy, A., & Grigorev, M. (2018). On the circle covering theorem by A.W. Goodman and R.E. Goodman. Discrete & Computational Geometry. Springer. https://doi.org/10.1007/s00454-017-9883-x
[Published Version] View | Files available | DOI | WoS
 
[8]
2018 | Preprint | IST-REx-ID: 75 | OA
Akopyan, A., Avvakumov, S., & Karasev, R. (2018). Convex fair partitions into arbitrary number of pieces. arXiv. https://doi.org/10.48550/arXiv.1804.03057
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[7]
2017 | Journal Article | IST-REx-ID: 707 | OA
Akopyan, A., & Karasev, R. (2017). A tight estimate for the waist of the ball . Bulletin of the London Mathematical Society. Wiley-Blackwell. https://doi.org/10.1112/blms.12062
[Preprint] View | DOI | Download Preprint (ext.)
 
[6]
2017 | Journal Article | IST-REx-ID: 1180 | OA
Akopyan, A., Bárány, I., & Robins, S. (2017). Algebraic vertices of non-convex polyhedra. Advances in Mathematics. Academic Press. https://doi.org/10.1016/j.aim.2016.12.026
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS
 
[5]
2017 | Journal Article | IST-REx-ID: 909 | OA
Akopyan, A., & Vysotsky, V. (2017). On the lengths of curves passing through boundary points of a planar convex shape. The American Mathematical Monthly. Mathematical Association of America. https://doi.org/10.4169/amer.math.monthly.124.7.588
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS | arXiv
 
[4]
2016 | Journal Article | IST-REx-ID: 1330 | OA
Akopyan, A., & Balitskiy, A. (2016). Billiards in convex bodies with acute angles. Israel Journal of Mathematics. Springer. https://doi.org/10.1007/s11856-016-1429-z
[Preprint] View | DOI | Download Preprint (ext.)
 
[3]
2016 | Journal Article | IST-REx-ID: 1360 | OA
Akopyan, A., Balitskiy, A., Karasev, R., & Sharipova, A. (2016). Elementary approach to closed billiard trajectories in asymmetric normed spaces. Proceedings of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/proc/13062
[Preprint] View | DOI | Download Preprint (ext.)
 
[2]
2015 | Journal Article | IST-REx-ID: 1710 | OA
Akopyan, A., & Plakhov, A. (2015). Minimal resistance of curves under the single impact assumption. Society for Industrial and Applied Mathematics. SIAM. https://doi.org/10.1137/140993843
[Preprint] View | DOI | Download Preprint (ext.)
 
[1]
2015 | Journal Article | IST-REx-ID: 1828 | OA
Akopyan, A., Pirogov, S., & Rybko, A. (2015). Invariant measures of genetic recombination process. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-015-1238-5
[Preprint] View | DOI | Download Preprint (ext.)
 
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31 Publications

Mark all

[31]
2023 | Journal Article | IST-REx-ID: 12544 | OA
Koehl, P., Akopyan, A., & Edelsbrunner, H. (2023). Computing the volume, surface area, mean, and Gaussian curvatures of molecules and their derivatives. Journal of Chemical Information and Modeling. American Chemical Society. https://doi.org/10.1021/acs.jcim.2c01346
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 
[30]
2022 | Journal Article | IST-REx-ID: 7791 | OA
Akopyan, A., & Karasev, R. (2022). When different norms lead to same billiard trajectories? European Journal of Mathematics. Springer Nature. https://doi.org/10.1007/s40879-020-00405-0
[Published Version] View | Files available | DOI | arXiv
 
[29]
2021 | Journal Article | IST-REx-ID: 10222 | OA
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
 
[28]
2021 | Journal Article | IST-REx-ID: 8338 | OA
Akopyan, A., Bobenko, A. I., Schief, W. K., & Techter, J. (2021). On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs. Discrete and Computational Geometry. Springer Nature. https://doi.org/10.1007/s00454-020-00240-w
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[27]
2020 | Journal Article | IST-REx-ID: 8538 | OA
Akopyan, A., Schwartz, R., & Tabachnikov, S. (2020). Billiards in ellipses revisited. European Journal of Mathematics. Springer Nature. https://doi.org/10.1007/s40879-020-00426-9
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[26]
2020 | Book Chapter | IST-REx-ID: 74 | OA
Akopyan, A., & Karasev, R. (2020). Gromov’s waist of non-radial Gaussian measures and radial non-Gaussian measures. In B. Klartag & E. Milman (Eds.), Geometric Aspects of Functional Analysis (Vol. 2256, pp. 1–27). Springer Nature. https://doi.org/10.1007/978-3-030-36020-7_1
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[25]
2020 | Journal Article | IST-REx-ID: 10867 | OA
Akopyan, A., & Karasev, R. (2020). Waist of balls in hyperbolic and spherical spaces. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rny037
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[24]
2020 | Journal Article | IST-REx-ID: 9157 | OA
Akopyan, A., & Edelsbrunner, H. (2020). The weighted mean curvature derivative of a space-filling diagram. Computational and Mathematical Biophysics. De Gruyter. https://doi.org/10.1515/cmb-2020-0100
[Published Version] View | Files available | DOI
 
[23]
2020 | Journal Article | IST-REx-ID: 9156 | OA
Akopyan, A., & Edelsbrunner, H. (2020). The weighted Gaussian curvature derivative of a space-filling diagram. Computational and Mathematical Biophysics. De Gruyter. https://doi.org/10.1515/cmb-2020-0101
[Published Version] View | Files available | DOI | arXiv
 
[22]
2019 | Journal Article | IST-REx-ID: 6050 | OA
Akopyan, A., & Fedorov, R. (2019). Two circles and only a straightedge. Proceedings of the American Mathematical Society. AMS. https://doi.org/10.1090/proc/14240
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[21]
2019 | Journal Article | IST-REx-ID: 6419 | OA
Pokusaeva, V., Usmanova, D. R., Putintseva, E. V., Espinar, L., Sarkisyan, K., Mishin, A. S., … Kondrashov, F. (2019). An experimental assay of the interactions of amino acids from orthologous sequences shaping a complex fitness landscape. PLoS Genetics. Public Library of Science. https://doi.org/10.1371/journal.pgen.1008079
[Published Version] View | Files available | DOI | WoS
 
[20]
2019 | Research Data Reference | IST-REx-ID: 9790
Pokusaeva, V., Usmanova, D. R., Putintseva, E. V., Espinar, L., Sarkisyan, K., Mishin, A. S., … Kondrashov, F. (2019). A statistical summary of segment libraries and sequencing results. Public Library of Science. https://doi.org/10.1371/journal.pgen.1008079.s011
[Published Version] View | Files available | DOI
 
[19]
2019 | Research Data Reference | IST-REx-ID: 9797
Pokusaeva, V., Usmanova, D. R., Putintseva, E. V., Espinar, L., Sarkisyan, K., Mishin, A. S., … Kondrashov, F. (2019). A statistical summary of segment libraries and sequencing results. Public Library of Science. https://doi.org/10.1371/journal.pgen.1008079.s011
[Published Version] View | Files available | DOI
 
[18]
2019 | Research Data Reference | IST-REx-ID: 9789
Pokusaeva, V., Usmanova, D. R., Putintseva, E. V., Espinar, L., Sarkisyan, K., Mishin, A. S., … Kondrashov, F. (2019). Multiple alignment of His3 orthologues. Public Library of Science. https://doi.org/10.1371/journal.pgen.1008079.s010
[Published Version] View | Files available | DOI
 
[17]
2019 | Journal Article | IST-REx-ID: 6634 | OA
Akopyan, A., Hubard, A., & Karasev, R. (2019). Lower and upper bounds for the waists of different spaces. Topological Methods in Nonlinear Analysis. Akademicka Platforma Czasopism. https://doi.org/10.12775/TMNA.2019.008
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[16]
2019 | Journal Article | IST-REx-ID: 6793 | OA
Akopyan, A., & Izmestiev, I. (2019). The Regge symmetry, confocal conics, and the Schläfli formula. Bulletin of the London Mathematical Society. London Mathematical Society. https://doi.org/10.1112/blms.12276
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[15]
2018 | Journal Article | IST-REx-ID: 692 | OA
Akopyan, A. (2018). 3-Webs generated by confocal conics and circles. Geometriae Dedicata. Springer. https://doi.org/10.1007/s10711-017-0265-6
[Published Version] View | Files available | DOI | WoS
 
[14]
2018 | Journal Article | IST-REx-ID: 58 | OA
Akopyan, A., & Segal Halevi, E. (2018). Counting blanks in polygonal arrangements. SIAM Journal on Discrete Mathematics. Society for Industrial and Applied Mathematics . https://doi.org/10.1137/16M110407X
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[13]
2018 | Journal Article | IST-REx-ID: 458 | OA
Akopyan, A., & Bobenko, A. (2018). Incircular nets and confocal conics. Transactions of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/tran/7292
[Preprint] View | DOI | Download Preprint (ext.) | WoS
 
[12]
2018 | Journal Article | IST-REx-ID: 106 | OA
Akopyan, A., & Petrunin, A. (2018). Long geodesics on convex surfaces. Mathematical Intelligencer. Springer. https://doi.org/10.1007/s00283-018-9795-5
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[11]
2018 | Journal Article | IST-REx-ID: 409 | OA
Akopyan, A. (2018). On the number of non-hexagons in a planar tiling. Comptes Rendus Mathematique. Elsevier. https://doi.org/10.1016/j.crma.2018.03.005
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[10]
2018 | Journal Article | IST-REx-ID: 6355 | OA
Akopyan, A., & Avvakumov, S. (2018). Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. Forum of Mathematics, Sigma. Cambridge University Press. https://doi.org/10.1017/fms.2018.7
[Published Version] View | Files available | DOI | WoS | arXiv
 
[9]
2018 | Journal Article | IST-REx-ID: 1064 | OA
Akopyan, A., Balitskiy, A., & Grigorev, M. (2018). On the circle covering theorem by A.W. Goodman and R.E. Goodman. Discrete & Computational Geometry. Springer. https://doi.org/10.1007/s00454-017-9883-x
[Published Version] View | Files available | DOI | WoS
 
[8]
2018 | Preprint | IST-REx-ID: 75 | OA
Akopyan, A., Avvakumov, S., & Karasev, R. (2018). Convex fair partitions into arbitrary number of pieces. arXiv. https://doi.org/10.48550/arXiv.1804.03057
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[7]
2017 | Journal Article | IST-REx-ID: 707 | OA
Akopyan, A., & Karasev, R. (2017). A tight estimate for the waist of the ball . Bulletin of the London Mathematical Society. Wiley-Blackwell. https://doi.org/10.1112/blms.12062
[Preprint] View | DOI | Download Preprint (ext.)
 
[6]
2017 | Journal Article | IST-REx-ID: 1180 | OA
Akopyan, A., Bárány, I., & Robins, S. (2017). Algebraic vertices of non-convex polyhedra. Advances in Mathematics. Academic Press. https://doi.org/10.1016/j.aim.2016.12.026
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS
 
[5]
2017 | Journal Article | IST-REx-ID: 909 | OA
Akopyan, A., & Vysotsky, V. (2017). On the lengths of curves passing through boundary points of a planar convex shape. The American Mathematical Monthly. Mathematical Association of America. https://doi.org/10.4169/amer.math.monthly.124.7.588
[Submitted Version] View | DOI | Download Submitted Version (ext.) | WoS | arXiv
 
[4]
2016 | Journal Article | IST-REx-ID: 1330 | OA
Akopyan, A., & Balitskiy, A. (2016). Billiards in convex bodies with acute angles. Israel Journal of Mathematics. Springer. https://doi.org/10.1007/s11856-016-1429-z
[Preprint] View | DOI | Download Preprint (ext.)
 
[3]
2016 | Journal Article | IST-REx-ID: 1360 | OA
Akopyan, A., Balitskiy, A., Karasev, R., & Sharipova, A. (2016). Elementary approach to closed billiard trajectories in asymmetric normed spaces. Proceedings of the American Mathematical Society. American Mathematical Society. https://doi.org/10.1090/proc/13062
[Preprint] View | DOI | Download Preprint (ext.)
 
[2]
2015 | Journal Article | IST-REx-ID: 1710 | OA
Akopyan, A., & Plakhov, A. (2015). Minimal resistance of curves under the single impact assumption. Society for Industrial and Applied Mathematics. SIAM. https://doi.org/10.1137/140993843
[Preprint] View | DOI | Download Preprint (ext.)
 
[1]
2015 | Journal Article | IST-REx-ID: 1828 | OA
Akopyan, A., Pirogov, S., & Rybko, A. (2015). Invariant measures of genetic recombination process. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-015-1238-5
[Preprint] View | DOI | Download Preprint (ext.)
 
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