20 Publications
2019 | Journal Article | IST-REx-ID: 6419   

Pokusaeva, Victoria, Dinara R. Usmanova, Ekaterina V. Putintseva, Lorena Espinar, Karen Sarkisyan, Alexander S. Mishin, Natalya S. Bogatyreva, et al. “An Experimental Assay of the Interactions of Amino Acids from Orthologous Sequences Shaping a Complex Fitness Landscape.” PLoS Genetics 15, no. 4 (2019): e1008079. https://doi.org/10.1371/journal.pgen.1008079.
View
| Files available
| DOI
2019 | Journal Article | IST-REx-ID: 6793   

Akopyan, Arseniy, and Ivan Izmestiev. “The Regge Symmetry, Confocal Conics, and the Schläfli Formula.” Bulletin of the London Mathematical Society, 2019. https://doi.org/10.1112/blms.12276.
View
| DOI
| Download (ext.)
| arXiv
2019 | Journal Article | IST-REx-ID: 6050   

Akopyan, Arseniy, and Roman Fedorov. “Two Circles and Only a Straightedge.” Proceedings of the American Mathematical Society 147 (2019): 91–102. https://doi.org/10.1090/proc/14240.
View
| DOI
| Download (ext.)
| arXiv
2019 | Journal Article | IST-REx-ID: 6634   

Akopyan, Arseniy, Alfredo Hubard, and Roman Karasev. “Lower and Upper Bounds for the Waists of Different Spaces.” Topological Methods in Nonlinear Analysis 53, no. 2 (2019): 457–90. https://doi.org/10.12775/TMNA.2019.008.
View
| DOI
| Download (ext.)
| arXiv
2018 | Journal Article | IST-REx-ID: 458   

Akopyan, Arseniy, and Alexander Bobenko. “Incircular Nets and Confocal Conics.” Transactions of the American Mathematical Society 370, no. 4 (2018): 2825–54. https://doi.org/10.1090/tran/7292.
View
| DOI
| Download (ext.)
2018 | Journal Article | IST-REx-ID: 106   

Akopyan, Arseniy, and Anton Petrunin. “Long Geodesics on Convex Surfaces.” Mathematical Intelligencer 40, no. 3 (2018): 26–31. https://doi.org/10.1007/s00283-018-9795-5.
View
| DOI
| Download (ext.)
| arXiv
2018 | Journal Article | IST-REx-ID: 409   

Akopyan, Arseniy. “On the Number of Non-Hexagons in a Planar Tiling.” Comptes Rendus Mathematique 356, no. 4 (2018): 412–14. https://doi.org/10.1016/j.crma.2018.03.005.
View
| DOI
| Download (ext.)
| arXiv
2018 | Preprint | IST-REx-ID: 74   

Akopyan, Arseniy, and Roman Karasev. “Gromov’s Waist of Non-Radial Gaussian Measures and Radial Non-Gaussian Measures.” ArXiv. ArXiv, 2018.
View
| Download (ext.)
| arXiv
2018 | Preprint | IST-REx-ID: 75   

Akopyan, Arseniy, Sergey Avvakumov, and Roman Karasev. “Convex Fair Partitions into Arbitrary Number of Pieces.” ArXiv. ArXiv, 2018.
View
| Download (ext.)
| arXiv
2018 | Journal Article | IST-REx-ID: 1064   

Akopyan, Arseniy, Alexey Balitskiy, and Mikhail Grigorev. “On the Circle Covering Theorem by A.W. Goodman and R.E. Goodman.” Discrete & Computational Geometry 59, no. 4 (2018): 1001–9. https://doi.org/10.1007/s00454-017-9883-x.
View
| Files available
| DOI
2018 | Journal Article | IST-REx-ID: 58   

Akopyan, Arseniy, and Erel Segal Halevi. “Counting Blanks in Polygonal Arrangements.” SIAM Journal on Discrete Mathematics 32, no. 3 (2018): 2242–57. https://doi.org/10.1137/16M110407X.
View
| DOI
| Download (ext.)
| arXiv
2018 | Journal Article | IST-REx-ID: 6355   

Akopyan, Arseniy, and Sergey Avvakumov. “Any Cyclic Quadrilateral Can Be Inscribed in Any Closed Convex Smooth Curve.” Forum of Mathematics, Sigma 6 (2018): e7. https://doi.org/10.1017/fms.2018.7.
View
| Files available
| DOI
| arXiv
2018 | Journal Article | IST-REx-ID: 692   

Akopyan, Arseniy. “3-Webs Generated by Confocal Conics and Circles.” Geometriae Dedicata 194, no. 1 (2018): 55–64. https://doi.org/10.1007/s10711-017-0265-6.
View
| DOI
| Download (ext.)
2017 | Journal Article | IST-REx-ID: 1180   

Akopyan, Arseniy, Imre Bárány, and Sinai Robins. “Algebraic Vertices of Non-Convex Polyhedra.” Advances in Mathematics 308 (2017): 627–44. https://doi.org/10.1016/j.aim.2016.12.026.
View
| DOI
| Download (ext.)
2017 | Journal Article | IST-REx-ID: 707   

Akopyan, Arseniy, and Roman Karasev. “A Tight Estimate for the Waist of the Ball .” Bulletin of the London Mathematical Society 49, no. 4 (2017): 690–93. https://doi.org/10.1112/blms.12062.
View
| DOI
| Download (ext.)
2017 | Journal Article | IST-REx-ID: 909   

Akopyan, Arseniy, and Vladislav Vysotsky. “On the Lengths of Curves Passing through Boundary Points of a Planar Convex Shape.” The American Mathematical Monthly 124, no. 7 (2017): 588–96. https://doi.org/10.4169/amer.math.monthly.124.7.588.
View
| DOI
| Download (ext.)
2016 | Journal Article | IST-REx-ID: 1360   

Akopyan, Arseniy, Alexey Balitskiy, Roman Karasev, and Anastasia Sharipova. “Elementary Approach to Closed Billiard Trajectories in Asymmetric Normed Spaces.” Proceedings of the American Mathematical Society 144, no. 10 (2016): 4501–13. https://doi.org/10.1090/proc/13062 .
View
| DOI
| Download (ext.)
2016 | Journal Article | IST-REx-ID: 1330   

Akopyan, Arseniy, and Alexey Balitskiy. “Billiards in Convex Bodies with Acute Angles.” Israel Journal of Mathematics 216, no. 2 (2016): 833–45. https://doi.org/10.1007/s11856-016-1429-z.
View
| DOI
| Download (ext.)
2015 | Journal Article | IST-REx-ID: 1828   

Akopyan, Arseniy, Sergey Pirogov, and Aleksandr Rybko. “ Invariant Measures of Genetic Recombination Process.” Journal of Statistical Physics 160, no. 1 (2015): 163–67. https://doi.org/10.1007/s10955-015-1238-5.
View
| DOI
| Download (ext.)
2015 | Journal Article | IST-REx-ID: 1710   

Akopyan, Arseniy, and Alexander Plakhov. “Minimal Resistance of Curves under the Single Impact Assumption.” Society for Industrial and Applied Mathematics 47, no. 4 (2015): 2754–69. https://doi.org/10.1137/140993843.
View
| DOI
| Download (ext.)
Search
Filter Publications
Display / Sort
Export / Embed
20 Publications
2019 | Journal Article | IST-REx-ID: 6419   

Pokusaeva, Victoria, Dinara R. Usmanova, Ekaterina V. Putintseva, Lorena Espinar, Karen Sarkisyan, Alexander S. Mishin, Natalya S. Bogatyreva, et al. “An Experimental Assay of the Interactions of Amino Acids from Orthologous Sequences Shaping a Complex Fitness Landscape.” PLoS Genetics 15, no. 4 (2019): e1008079. https://doi.org/10.1371/journal.pgen.1008079.
View
| Files available
| DOI
2019 | Journal Article | IST-REx-ID: 6793   

Akopyan, Arseniy, and Ivan Izmestiev. “The Regge Symmetry, Confocal Conics, and the Schläfli Formula.” Bulletin of the London Mathematical Society, 2019. https://doi.org/10.1112/blms.12276.
View
| DOI
| Download (ext.)
| arXiv
2019 | Journal Article | IST-REx-ID: 6050   

Akopyan, Arseniy, and Roman Fedorov. “Two Circles and Only a Straightedge.” Proceedings of the American Mathematical Society 147 (2019): 91–102. https://doi.org/10.1090/proc/14240.
View
| DOI
| Download (ext.)
| arXiv
2019 | Journal Article | IST-REx-ID: 6634   

Akopyan, Arseniy, Alfredo Hubard, and Roman Karasev. “Lower and Upper Bounds for the Waists of Different Spaces.” Topological Methods in Nonlinear Analysis 53, no. 2 (2019): 457–90. https://doi.org/10.12775/TMNA.2019.008.
View
| DOI
| Download (ext.)
| arXiv
2018 | Journal Article | IST-REx-ID: 458   

Akopyan, Arseniy, and Alexander Bobenko. “Incircular Nets and Confocal Conics.” Transactions of the American Mathematical Society 370, no. 4 (2018): 2825–54. https://doi.org/10.1090/tran/7292.
View
| DOI
| Download (ext.)
2018 | Journal Article | IST-REx-ID: 106   

Akopyan, Arseniy, and Anton Petrunin. “Long Geodesics on Convex Surfaces.” Mathematical Intelligencer 40, no. 3 (2018): 26–31. https://doi.org/10.1007/s00283-018-9795-5.
View
| DOI
| Download (ext.)
| arXiv
2018 | Journal Article | IST-REx-ID: 409   

Akopyan, Arseniy. “On the Number of Non-Hexagons in a Planar Tiling.” Comptes Rendus Mathematique 356, no. 4 (2018): 412–14. https://doi.org/10.1016/j.crma.2018.03.005.
View
| DOI
| Download (ext.)
| arXiv
2018 | Preprint | IST-REx-ID: 74   

Akopyan, Arseniy, and Roman Karasev. “Gromov’s Waist of Non-Radial Gaussian Measures and Radial Non-Gaussian Measures.” ArXiv. ArXiv, 2018.
View
| Download (ext.)
| arXiv
2018 | Preprint | IST-REx-ID: 75   

Akopyan, Arseniy, Sergey Avvakumov, and Roman Karasev. “Convex Fair Partitions into Arbitrary Number of Pieces.” ArXiv. ArXiv, 2018.
View
| Download (ext.)
| arXiv
2018 | Journal Article | IST-REx-ID: 1064   

Akopyan, Arseniy, Alexey Balitskiy, and Mikhail Grigorev. “On the Circle Covering Theorem by A.W. Goodman and R.E. Goodman.” Discrete & Computational Geometry 59, no. 4 (2018): 1001–9. https://doi.org/10.1007/s00454-017-9883-x.
View
| Files available
| DOI
2018 | Journal Article | IST-REx-ID: 58   

Akopyan, Arseniy, and Erel Segal Halevi. “Counting Blanks in Polygonal Arrangements.” SIAM Journal on Discrete Mathematics 32, no. 3 (2018): 2242–57. https://doi.org/10.1137/16M110407X.
View
| DOI
| Download (ext.)
| arXiv
2018 | Journal Article | IST-REx-ID: 6355   

Akopyan, Arseniy, and Sergey Avvakumov. “Any Cyclic Quadrilateral Can Be Inscribed in Any Closed Convex Smooth Curve.” Forum of Mathematics, Sigma 6 (2018): e7. https://doi.org/10.1017/fms.2018.7.
View
| Files available
| DOI
| arXiv
2018 | Journal Article | IST-REx-ID: 692   

Akopyan, Arseniy. “3-Webs Generated by Confocal Conics and Circles.” Geometriae Dedicata 194, no. 1 (2018): 55–64. https://doi.org/10.1007/s10711-017-0265-6.
View
| DOI
| Download (ext.)
2017 | Journal Article | IST-REx-ID: 1180   

Akopyan, Arseniy, Imre Bárány, and Sinai Robins. “Algebraic Vertices of Non-Convex Polyhedra.” Advances in Mathematics 308 (2017): 627–44. https://doi.org/10.1016/j.aim.2016.12.026.
View
| DOI
| Download (ext.)
2017 | Journal Article | IST-REx-ID: 707   

Akopyan, Arseniy, and Roman Karasev. “A Tight Estimate for the Waist of the Ball .” Bulletin of the London Mathematical Society 49, no. 4 (2017): 690–93. https://doi.org/10.1112/blms.12062.
View
| DOI
| Download (ext.)
2017 | Journal Article | IST-REx-ID: 909   

Akopyan, Arseniy, and Vladislav Vysotsky. “On the Lengths of Curves Passing through Boundary Points of a Planar Convex Shape.” The American Mathematical Monthly 124, no. 7 (2017): 588–96. https://doi.org/10.4169/amer.math.monthly.124.7.588.
View
| DOI
| Download (ext.)
2016 | Journal Article | IST-REx-ID: 1360   

Akopyan, Arseniy, Alexey Balitskiy, Roman Karasev, and Anastasia Sharipova. “Elementary Approach to Closed Billiard Trajectories in Asymmetric Normed Spaces.” Proceedings of the American Mathematical Society 144, no. 10 (2016): 4501–13. https://doi.org/10.1090/proc/13062 .
View
| DOI
| Download (ext.)
2016 | Journal Article | IST-REx-ID: 1330   

Akopyan, Arseniy, and Alexey Balitskiy. “Billiards in Convex Bodies with Acute Angles.” Israel Journal of Mathematics 216, no. 2 (2016): 833–45. https://doi.org/10.1007/s11856-016-1429-z.
View
| DOI
| Download (ext.)
2015 | Journal Article | IST-REx-ID: 1828   

Akopyan, Arseniy, Sergey Pirogov, and Aleksandr Rybko. “ Invariant Measures of Genetic Recombination Process.” Journal of Statistical Physics 160, no. 1 (2015): 163–67. https://doi.org/10.1007/s10955-015-1238-5.
View
| DOI
| Download (ext.)
2015 | Journal Article | IST-REx-ID: 1710   

Akopyan, Arseniy, and Alexander Plakhov. “Minimal Resistance of Curves under the Single Impact Assumption.” Society for Industrial and Applied Mathematics 47, no. 4 (2015): 2754–69. https://doi.org/10.1137/140993843.
View
| DOI
| Download (ext.)