Arseniy Akopyan

Edelsbrunner Group

31 Publications

Mark all

[31]
2023 | Journal Article | IST-REx-ID: 12544 | OA
Koehl P, Akopyan A, Edelsbrunner H. Computing the volume, surface area, mean, and Gaussian curvatures of molecules and their derivatives. Journal of Chemical Information and Modeling. 2023;63(3):973-985. doi: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. When different norms lead to same billiard trajectories? European Journal of Mathematics. 2022;8(4):1309-1312. doi: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. The beauty of random polytopes inscribed in the 2-sphere. Experimental Mathematics. 2021:1-15. doi: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 AI, Schief WK, Techter J. On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs. Discrete and Computational Geometry. 2021;66:938-976. doi: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. Billiards in ellipses revisited. European Journal of Mathematics. 2020. doi: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. Gromov’s waist of non-radial Gaussian measures and radial non-Gaussian measures. In: Klartag B, Milman E, eds. Geometric Aspects of Functional Analysis. Vol 2256. LNM. Springer Nature; 2020:1-27. doi: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. Waist of balls in hyperbolic and spherical spaces. International Mathematics Research Notices. 2020;2020(3):669-697. doi: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. The weighted mean curvature derivative of a space-filling diagram. Computational and Mathematical Biophysics. 2020;8(1):51-67. doi:10.1515/cmb-2020-0100
[Published Version] View | Files available | DOI
 
[23]
2020 | Journal Article | IST-REx-ID: 9156 | OA
Akopyan A, Edelsbrunner H. The weighted Gaussian curvature derivative of a space-filling diagram. Computational and Mathematical Biophysics. 2020;8(1):74-88. doi: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. Two circles and only a straightedge. Proceedings of the American Mathematical Society. 2019;147:91-102. doi:10.1090/proc/14240
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[21]
2019 | Journal Article | IST-REx-ID: 6419 | OA
Pokusaeva V, Usmanova DR, Putintseva EV, et al. An experimental assay of the interactions of amino acids from orthologous sequences shaping a complex fitness landscape. PLoS Genetics. 2019;15(4). doi:10.1371/journal.pgen.1008079
[Published Version] View | Files available | DOI | WoS
 
[20]
2019 | Research Data Reference | IST-REx-ID: 9790
Pokusaeva V, Usmanova DR, Putintseva EV, et al. A statistical summary of segment libraries and sequencing results. 2019. doi:10.1371/journal.pgen.1008079.s011
[Published Version] View | Files available | DOI
 
[19]
2019 | Research Data Reference | IST-REx-ID: 9797
Pokusaeva V, Usmanova DR, Putintseva EV, et al. A statistical summary of segment libraries and sequencing results. 2019. doi:10.1371/journal.pgen.1008079.s011
[Published Version] View | Files available | DOI
 
[18]
2019 | Research Data Reference | IST-REx-ID: 9789
Pokusaeva V, Usmanova DR, Putintseva EV, et al. Multiple alignment of His3 orthologues. 2019. doi: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. Lower and upper bounds for the waists of different spaces. Topological Methods in Nonlinear Analysis. 2019;53(2):457-490. doi: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. The Regge symmetry, confocal conics, and the Schläfli formula. Bulletin of the London Mathematical Society. 2019;51(5):765-775. doi:10.1112/blms.12276
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[15]
2018 | Journal Article | IST-REx-ID: 692 | OA
Akopyan A. 3-Webs generated by confocal conics and circles. Geometriae Dedicata. 2018;194(1):55-64. doi: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. Counting blanks in polygonal arrangements. SIAM Journal on Discrete Mathematics. 2018;32(3):2242-2257. doi:10.1137/16M110407X
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[13]
2018 | Journal Article | IST-REx-ID: 458 | OA
Akopyan A, Bobenko A. Incircular nets and confocal conics. Transactions of the American Mathematical Society. 2018;370(4):2825-2854. doi:10.1090/tran/7292
[Preprint] View | DOI | Download Preprint (ext.) | WoS
 
[12]
2018 | Journal Article | IST-REx-ID: 106 | OA
Akopyan A, Petrunin A. Long geodesics on convex surfaces. Mathematical Intelligencer. 2018;40(3):26-31. doi: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. On the number of non-hexagons in a planar tiling. Comptes Rendus Mathematique. 2018;356(4):412-414. doi: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. Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. Forum of Mathematics, Sigma. 2018;6. doi: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. On the circle covering theorem by A.W. Goodman and R.E. Goodman. Discrete & Computational Geometry. 2018;59(4):1001-1009. doi: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. Convex fair partitions into arbitrary number of pieces. 2018. doi: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. A tight estimate for the waist of the ball . Bulletin of the London Mathematical Society. 2017;49(4):690-693. doi: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. Algebraic vertices of non-convex polyhedra. Advances in Mathematics. 2017;308:627-644. doi: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. On the lengths of curves passing through boundary points of a planar convex shape. The American Mathematical Monthly. 2017;124(7):588-596. doi: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. Billiards in convex bodies with acute angles. Israel Journal of Mathematics. 2016;216(2):833-845. doi: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. Elementary approach to closed billiard trajectories in asymmetric normed spaces. Proceedings of the American Mathematical Society. 2016;144(10):4501-4513. doi:10.1090/proc/13062
[Preprint] View | DOI | Download Preprint (ext.)
 
[2]
2015 | Journal Article | IST-REx-ID: 1710 | OA
Akopyan A, Plakhov A. Minimal resistance of curves under the single impact assumption. Society for Industrial and Applied Mathematics. 2015;47(4):2754-2769. doi:10.1137/140993843
[Preprint] View | DOI | Download Preprint (ext.)
 
[1]
2015 | Journal Article | IST-REx-ID: 1828 | OA
Akopyan A, Pirogov S, Rybko A. Invariant measures of genetic recombination process. Journal of Statistical Physics. 2015;160(1):163-167. doi: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. Computing the volume, surface area, mean, and Gaussian curvatures of molecules and their derivatives. Journal of Chemical Information and Modeling. 2023;63(3):973-985. doi: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. When different norms lead to same billiard trajectories? European Journal of Mathematics. 2022;8(4):1309-1312. doi: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. The beauty of random polytopes inscribed in the 2-sphere. Experimental Mathematics. 2021:1-15. doi: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 AI, Schief WK, Techter J. On mutually diagonal nets on (confocal) quadrics and 3-dimensional webs. Discrete and Computational Geometry. 2021;66:938-976. doi: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. Billiards in ellipses revisited. European Journal of Mathematics. 2020. doi: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. Gromov’s waist of non-radial Gaussian measures and radial non-Gaussian measures. In: Klartag B, Milman E, eds. Geometric Aspects of Functional Analysis. Vol 2256. LNM. Springer Nature; 2020:1-27. doi: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. Waist of balls in hyperbolic and spherical spaces. International Mathematics Research Notices. 2020;2020(3):669-697. doi: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. The weighted mean curvature derivative of a space-filling diagram. Computational and Mathematical Biophysics. 2020;8(1):51-67. doi:10.1515/cmb-2020-0100
[Published Version] View | Files available | DOI
 
[23]
2020 | Journal Article | IST-REx-ID: 9156 | OA
Akopyan A, Edelsbrunner H. The weighted Gaussian curvature derivative of a space-filling diagram. Computational and Mathematical Biophysics. 2020;8(1):74-88. doi: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. Two circles and only a straightedge. Proceedings of the American Mathematical Society. 2019;147:91-102. doi:10.1090/proc/14240
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[21]
2019 | Journal Article | IST-REx-ID: 6419 | OA
Pokusaeva V, Usmanova DR, Putintseva EV, et al. An experimental assay of the interactions of amino acids from orthologous sequences shaping a complex fitness landscape. PLoS Genetics. 2019;15(4). doi:10.1371/journal.pgen.1008079
[Published Version] View | Files available | DOI | WoS
 
[20]
2019 | Research Data Reference | IST-REx-ID: 9790
Pokusaeva V, Usmanova DR, Putintseva EV, et al. A statistical summary of segment libraries and sequencing results. 2019. doi:10.1371/journal.pgen.1008079.s011
[Published Version] View | Files available | DOI
 
[19]
2019 | Research Data Reference | IST-REx-ID: 9797
Pokusaeva V, Usmanova DR, Putintseva EV, et al. A statistical summary of segment libraries and sequencing results. 2019. doi:10.1371/journal.pgen.1008079.s011
[Published Version] View | Files available | DOI
 
[18]
2019 | Research Data Reference | IST-REx-ID: 9789
Pokusaeva V, Usmanova DR, Putintseva EV, et al. Multiple alignment of His3 orthologues. 2019. doi: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. Lower and upper bounds for the waists of different spaces. Topological Methods in Nonlinear Analysis. 2019;53(2):457-490. doi: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. The Regge symmetry, confocal conics, and the Schläfli formula. Bulletin of the London Mathematical Society. 2019;51(5):765-775. doi:10.1112/blms.12276
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[15]
2018 | Journal Article | IST-REx-ID: 692 | OA
Akopyan A. 3-Webs generated by confocal conics and circles. Geometriae Dedicata. 2018;194(1):55-64. doi: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. Counting blanks in polygonal arrangements. SIAM Journal on Discrete Mathematics. 2018;32(3):2242-2257. doi:10.1137/16M110407X
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[13]
2018 | Journal Article | IST-REx-ID: 458 | OA
Akopyan A, Bobenko A. Incircular nets and confocal conics. Transactions of the American Mathematical Society. 2018;370(4):2825-2854. doi:10.1090/tran/7292
[Preprint] View | DOI | Download Preprint (ext.) | WoS
 
[12]
2018 | Journal Article | IST-REx-ID: 106 | OA
Akopyan A, Petrunin A. Long geodesics on convex surfaces. Mathematical Intelligencer. 2018;40(3):26-31. doi: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. On the number of non-hexagons in a planar tiling. Comptes Rendus Mathematique. 2018;356(4):412-414. doi: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. Any cyclic quadrilateral can be inscribed in any closed convex smooth curve. Forum of Mathematics, Sigma. 2018;6. doi: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. On the circle covering theorem by A.W. Goodman and R.E. Goodman. Discrete & Computational Geometry. 2018;59(4):1001-1009. doi: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. Convex fair partitions into arbitrary number of pieces. 2018. doi: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. A tight estimate for the waist of the ball . Bulletin of the London Mathematical Society. 2017;49(4):690-693. doi: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. Algebraic vertices of non-convex polyhedra. Advances in Mathematics. 2017;308:627-644. doi: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. On the lengths of curves passing through boundary points of a planar convex shape. The American Mathematical Monthly. 2017;124(7):588-596. doi: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. Billiards in convex bodies with acute angles. Israel Journal of Mathematics. 2016;216(2):833-845. doi: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. Elementary approach to closed billiard trajectories in asymmetric normed spaces. Proceedings of the American Mathematical Society. 2016;144(10):4501-4513. doi:10.1090/proc/13062
[Preprint] View | DOI | Download Preprint (ext.)
 
[2]
2015 | Journal Article | IST-REx-ID: 1710 | OA
Akopyan A, Plakhov A. Minimal resistance of curves under the single impact assumption. Society for Industrial and Applied Mathematics. 2015;47(4):2754-2769. doi:10.1137/140993843
[Preprint] View | DOI | Download Preprint (ext.)
 
[1]
2015 | Journal Article | IST-REx-ID: 1828 | OA
Akopyan A, Pirogov S, Rybko A. Invariant measures of genetic recombination process. Journal of Statistical Physics. 2015;160(1):163-167. doi:10.1007/s10955-015-1238-5
[Preprint] View | DOI | Download Preprint (ext.)
 
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