OM
Oleg R. Musin
math.COmath.MGmath.ATmath.GTcs.ITmath.ITmath.CAmath.NTmath.OCcs.CG
On Valency
published · living versionsW_9wn8y7mw·v1 · currentpublished
W_b97aspnf·v1published
W_dp73as6p·v1published
Preprints & journals
58 papers in the corpus · 2000–2026Orthogonal partition by four hyperplanes2610.19214v1 · Alexey Fakhrutdinov, Platon Khamatov, Oleg R. Musin2026 · 0 citationsarXiv
Higher-order colossally abundant numbers2609.33794v1 · Oleg R. Musin2026 · 0 citationsarXiv
Borsuk-Ulam type theorem for the orthogonal group and orthogonal four-partitions2609.09688v3 · Oleg R. Musin2026 · 0 citationsarXiv
The Five Distance Theorem For An Arbitrary Norm2608.12405v3 · Nikita A. Mironov, Oleg R. Musin2026 · 0 citationsarXiv
Borsuk-Ulam type theorem for Stiefel manifolds and orthogonal mass partitions2603.18550v5 · Oleg R. Musin2026 · 0 citationsarXiv
Computing the Hopf invariant2512.03201v2 · Oleg R. Musin, Timur Shamazov2025 · 0 citationsarXiv
Algorithms for orthogonal partitioning into four parts2511.20866v2 · Alexey Fakhrutdinov, Oleg R. Musin2025 · 0 citationsarXiv
Minimal simplicial spherical mappings with a given degree2511.10870v4 · Ksenia Apolonskaya, Oleg R. Musin2025 · 0 citationsarXiv
Topology-Aware Activation Functions in Neural Networks2507.12874v1 · Pavel Snopov, Oleg R. Musin2025 · 1 citationESANN 2025, European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning, Bruges, Belgium, April 23-25, 2025
On Scarf's theorem for Generalized Cooperative Games2501.05802v4 · Mikhail V. Bludov, Oleg R. Musin2025 · 0 citationsarXiv
A Second Homotopy Group for Digital Images2310.08706v2 · Gregory Lupton, Oleg Musin, Nicholas A. Scoville et al.2023 · 1 citationarXiv
Semidefinite programming bounds for distance distribution of spherical codes2309.13854v4 · Oleg R. Musin2023 · 0 citationsarXiv
Circle actions on oriented 4-manifolds2307.04576v3 · Donghoon Jang, Oleg R. Musin2023 · 1 citationarXiv
Balanced 2-subsets2302.13453v1 · Mikhail V. Bludov, Oleg R. Musin2023 · 0 citationsarXiv
Logarithmic algorithms for fair division problems2112.13622v4 · Alexandr Grebennikov, Xenia Isaeva, Andrei V. Malyutin et al.2021 · 0 citationsarXiv
Homotopy groups and quantitative Sperner-type lemma2007.08715v7 · Oleg R. Musin2020 · 1 citationarXiv
Majorization and minimal energy on spheres2001.04067v4 · Oleg R. Musin2020 · 2 citationsSIAM Journal on Discrete Mathematics, 2021, Vol. 35, No. 3 : pp. 1578-1591
Log-optimal (d+2)-configurations in d-dimensions1909.09909v3 · Peter D. Dragnev, Oleg R. Musin2019 · 0 citationsarXiv
An extension the semidefinite programming bound for spherical codes1903.05767v1 · Oleg R. Musin2019 · 1 citationarXiv
Neighboring mapping points theorem1812.10895v5 · Andrei V. Malyutin, Oleg R. Musin2018 · 1 citationAlgebr. Geom. Topol. 23 (2023) 3043-3070
Analogs of Steiner's porism and Soddy's hexlet in higher dimensions via spherical codes1801.08278v3 · Oleg R. Musin2018 · 3 citationsArch. Math. 111 (2018), 493-501
Towards a proof of the 24-cell conjecture1712.04099v3 · Oleg R. Musin2017 · 7 citationsActa Math. Hungar., 155:1 (2018), 184-199
Cobordism classes of maps and covers for spheres1705.03180v4 · Oleg R. Musin, Jie Wu2017 · 2 citationsTopology and its Applications, 237 (2018), p. 21-25
Rigidity of powers and Kosniowski's conjecture1702.06897v4 · Zhi Lu, Oleg R. Musin2017 · 1 citationSiberian Electronic Mathematical Reports, vol. 15 (2018), pp. 1227-1236
Borsuk-Ulam type theorems for G-spaces with applications to Tucker type lemmas1612.07314v7 · Oleg R. Musin, Alexey Yu. Volovikov2016 · 0 citationsarXiv
Graphs and spherical two-distance sets1608.03392v5 · Oleg R. Musin2016 · 8 citationsEuropean Journal of Combinatorics, 80:1 (2019), 311-325
Five Essays on the Geometry of László Fejes Tóth1604.02776v6 · Oleg R. Musin2016 · 3 citationsarXiv
KKM type theorems with boundary conditions1512.04612v2 · Oleg R. Musin2015 · 18 citationsJ. Fixed Point Theory Appl.,19 (2017), 2037-2049
Circle actions with two fixed points1512.03528v1 · Oleg R. Musin2015 · 3 citationsMath. Notes, 100:4 (2016), 636-638
Borsuk - Ulam Type spaces1507.08872v2 · Oleg R. Musin, Alexey Yu. Volovikov2015 · 7 citationsMosc. Math. J., 15:4, (2015), 749-766
A survey on the kissing numbers1507.03631v1 · Peter Boyvalenkov, Stefan Dodunekov, Oleg R. Musin2015 · 24 citationsSerdica Math. J., vol. 38 (2012), pp. 507-522
The Voronoi Functional is Maximized by the Delaunay Triangulation in the Plane1411.6337v1 · Herbert Edelsbrunner, Alexey Glazyrin, Oleg R. Musin et al.2014 · 2 citationsCombinatorica (2016), pp. 1--24
The Tammes problem for N=141410.2536v2 · Oleg R. Musin, Alexey S. Tarasov2014 · 50 citationsExperimental Mathematics, vol. 24:4 (2015), p. 460-468
Generalizations of Tucker-Fan-Shashkin lemmas1409.8637v5 · Oleg R. Musin2014 · 7 citationsArnold Math. J., 2:3 (2016), 299-308
Sperner type lemma for quadrangulations1406.5082v2 · Oleg R. Musin2014 · 2 citationsMoscow Journal of Combinatorics and Number Theory, vol. 5 (2015), pp. 26-35
Around Sperner's lemma1405.7513v1 · Oleg R Musin2014 · 7 citationsarXiv
Kakutani type Borsuk-Ulam theorem1405.1579v3 · Oleg R. Musin2014 · 2 citationsarXiv
Enumeration of irreducible contact graphs on the sphere1312.5450v1 · Oleg Musin, Alexey Tarasov2013 · 8 citationsarXiv
Extensions of Sperner and Tucker's lemma for manifolds1212.1899v2 · Oleg R. Musin2012 · 21 citationsJournal of Combinatorial Theory Series A, v. 132 (2015), pp. 172-187
Optimal packings of congruent circles on a square flat torus1212.0649v2 · Oleg R. Musin, Anton V. Nikitenko2012 · 14 citationsDiscrete Comput Geom (2016) 55: 1
Functionals on Triangulations of Delaunay Sets1211.7053v1 · Nikolay P. Dolbilin, Herbert Edelsbrunner, Alexey Glazyrin et al.2012 · 2 citationsMoscow Mathematical Journal 14, no. 3 (2014): 491-504
On the Optimality of Functionals over Triangulations of Delaunay Sets1209.3541v1 · Nikolay P. Dolbilin, Herbert Edelsbrunner, Oleg R. Musin2012 · 5 citationsRussian Math. Surv., 64:4 (2012), 781-783
Bounds on three- and higher-distance sets1005.2639v2 · Oleg R. Musin, Hiroshi Nozaki2010 · 17 citationsEuropean Journal of Combinatorics 32 (2011) 1182-1190
The strong thirteen spheres problem1002.1439v3 · Oleg Musin, Alexey Tarasov2010 · 44 citationsDiscrete & Computational Geometry, 48:1 (2012), 128-141
Borsuk-Ulam type theorems for manifolds0912.0787v6 · Oleg R. Musin2009 · 28 citationsProc. Amer. Math. Soc. 140 (2012), 2551-2560
The Extremal Spheres Theorem0906.3823v4 · Arseniy Akopyan, Alexey Glazyrin, Oleg R. Musin et al.2009 · 0 citationsDiscrete Mathematics 311(2-3): 171-177 (2011)
Bounds on sets with few distances0905.2423v2 · Alexander Barg, Oleg R. Musin2009 · 17 citationsJournal of Combinatorial Theory Ser. A, 118 , no. 4, 2011, pp. 1465-1474,
Chebyshev systems and zeros of a function on a convex curve0903.1908v2 · Oleg R. Musin2009 · 4 citationsProc. Steklov Inst. of Math., 221 (1998), 236-246
Positive definite functions in distance geometry0901.1129v1 · Oleg R. Musin2009 · 1 citationEuropean Congress of Mathematics Amsterdam, 14-18 July, 2008, 115-134, EMS Publishing House, 2010
On rigid Hirzebruch genera0809.3063v4 · Oleg R. Musin2008 · 19 citationsMosc. Math. J., 11:1 (2011), 139-147
Career total: 115 works. 58 are in this corpus.Showing the 50 most recent.
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