Publications

Monographs:

• M. V. Nevskii, “Geometric Estimates in Polynomial Interpolation”, Yaroslavl: YarGU, 2012.
  
• V. O. Manturov and D. P. Ilyutko, “Virtual Knots: The State of the Art”, World Scientific Press, 2012.
  

Сollections of abstracts:

• “Yaroslavl International Conference “Discrete Geometry” dedicated to the centenary of A. D. Alexandrov August 13-18, 2012”, P. G. Demidov Yaroslavl State University, 2012.
  

Articles:

2012

• A. V. Akopyan, “Conjugation of lines with respect to a triangle”, Journal of Classical Geometry, 1:23—31, 2012.
  
• A. V. Akopyan, “A short proof of the Collapsing Walls Lemma”, Discrete Mathematics, 312(10):1650—1651, 2012.
  
• A. V. Akopyan, “Geometry of the Cardioid”, Quantum, 3(2012), 39-41
  
• A. V. Akopyan, G. A. Kabatiansky, and O. R. Musin, “Contact numbers, codes and spherical polynomials”, Matematicheskoe Prosveschenie. Tret'ya Seriya., 16: 57—74, 2012.
  
• A. V. Akopyan and R. N. Karasev, “Kadets-Type Theorems for Partitions of a Convex Body”, Discrete & Comput. Geom., 48(3):766—776, 2012.
  
• A. I. Antonov and V. A. Bondarenko, “Polyhedral graphs of GRAPH PARTITIONING and COMPLETE BIPARTITE SUBGRAPH problems”, Model. Anal. Inform. Sist., 19:6 (2012), 101-106.
  
• I. Bárány and R. N. Karasev, “Notes About the Carathéodory Number”, Discrete & Comput. Geom., 48(3):783-792, 2012.
  
• S. L. Berlov, “Uniform colorings of graphs”, Combinatorics and graph theory. Part III, Zap. Nauchn. Sem. POMI, , 406, 2012, 5-11
  
• S. L. Berlov and I. I. Bogdanov, “On graphs with a large chromatic number that contain no small odd cycles”, Journal of mathematical sciences, 184:5, 2012, 573–578
  
• P. V. M. Blagojević and R. Karasev, “Extensions of theorems of Rattray and Makeev”, Topological Methods in Nonlinear Analysis, 40 (1):189-213, 2012.
  
• A. S. Bobok and S. D. Glyzin, “Аscillations in arrays of nonlinear elements in the Scott experiment”, Model. Anal. Inform. Sist., 19:5 (2012), 56-68.
  
• V. A. Bondarenko and A. V. Nikolaev, “A class of hypergraphs and vertices of cut polytope relaxations”, Doklady Mathematics, 85:1 (2012), 46-47.
  
• P. Boyvalenkov, S. Dodunekov, and O. R. Musin, “A survey on the kissing numbers”, Serdica Mathematical Journal, 38:4(2012), 507-522.
  
• V. M. Buchstaber, “Complex cobordisms and formal groups”, Uspekhi Mat. Nauk, 67:5(407) (2012), 111–174.
  
• V. M. Buchstaber and V. D. Volodin, “Combinatorial 2-truncated Cubes and Applications”, In F. Muller- Hoissen, J. M. Pallo, and J. Stasheff, editors, Associahedra, tamari lattices and related structures. Vol. 299, in Progress in Mathematics, pp. 161–186. Springer Basel, 2012.
  
• M. Chrisman and V. O. Manturov, “Parity and exotic combinatorial formulae for finite-type invariants of virtual knots”, Journal of Knot Theory and Its Ramifications, 21:13(2012), 27 p.
  
• N. P. Dolbilin“Parallelohedra: Retrospective and New Results”, Transactions of the Moscow Mathematical Society, 73:2 (2012), 259—276.
  
• N. P. Dolbilin, O. R. Musin и H. Edelsbrunner, “Optimality of functionals on triangulations of Delaunay sets”, Uspekhi Mat. Nauk, 67:4 (406) (2012), 189–190.
  
• N. P. Dolbilin, H. Edelsbrunner, A. O. Ivanov, and O. R. Musin, “The First Yaroslavl Summer School on Discrete and Computational Geometry”, Model. Anal. Inform. Sist., 19:5 (2012), 168-173.
  
• N. P. Dolbilin, H. Edelsbrunner, A. O. Ivanov, O. R. Musin, and M. V. Nevskii, “Yaroslavl Internat. Conference on Discrete Geometry (dedicated to the centenary of A. D. Alexandrov) ”, Model. Anal. Inform. Sist., 19:6 (2012), 92-100.
  
• H. Edelsbrunner, A. O. Ivanov, and R. N. Karasev, “Open problems in Discrete and Computational Geometr”, Model. Anal. Inform. Sist., 19:5 (2012), 5-17.
  
• H. Edelsbrunner and N. P. Strelkova, “On the configuration space of Steiner minimal trees”, Russian Mathematical Surveys, 67:6(2012), 105–106.
  
• A. I. Garber, “Belt Distance Between Facets of Space-Filling Zonotopes”, Mat. Zametki, 92:3 (2012), 381–394.
  
• A. A. Glazyrin, “Lower bounds for the simplexity of the n-cube”, Discrete Mathematics, 312:24(2012), 3656–3662.
  
• D. S. Glyzin and S. A. Kashchenko, “Dynamics of a complex spatially distributed Hutchinson equation”, Model. Anal. Inform. Sist., 19:5 (2012), 35–39.
  
• S. D. Glyzin and E. A. Marushkina, “Bursting Behavior in the System of Coupled Oscillators with Delay and its Statistical Analysis”, Model. Anal. Inform. Sist., 19:3 (2012), 82–96.
  
• A. O. Ivanov and A. A. Tuzhilin, “One-dimensional Gromov's minimal filling problem”, Sbornik: Mathematics, 203(5):677, 2012.
  
• A. O. Ivanov and A. A. Tuzhilin, “The geometry of inner spanning trees for planar polygons”, Izvestiya: Mathematics, 76(2):215, 2012.
  
• A. O. Ivanov, O. A. S'edina, and A. A. Tuzhilin, “The structure of minimal Steiner trees in the neighborhoods of the lunes of their edges”, Mathematical Notes, 91:339–353, 2012.
  
• A. O. Ivanov and A. A. Tuzhilin, “The Steiner Ratio Gilbert–Pollak Conjecture Is Still Open.”, Algorithmica, 62:1-2, 2012, 630-632.
  
• R. N. Karasev, “A topological central point theorem”, Topology and its Applications, 159(3):864—868, 2012.
  
• R. N. Karasev and P. Landweber, “Estimating the higher symmetric topological complexity of spheres”, Algebraic & Geometric Topology, 12:75—94, 2012.
  
• R. N. Karasev and F. V. Petrov, “Partitions of nonzero elements of a finite field into pairs”, Israel Journal of Mathematics, 1—14, 2012.
  
• A. A. Kashchenko, “Stability of the Simplest Periodic Solutions in the Stuart–Landau Equation with Large Delay”, Model. Anal. Inform. Sist., 19:3 (2012), 136–141.
  
• I. S. Kashchenko and S. A. Kashchenko, “The dynamics of Kuramoto equation with spatially-distributed control”, Model. Anal. Inform. Sist., 19:1 (2012), 24–35.
  
• S. A. Kashchenko, “Asymptotics of solutions of the generalized Hutchinson's equation”, Model. Anal. Inform. Sist., 19:3 (2012), 32–61.
  
• S. A. Kashchenko and A. S. Polstyanov, “The asymptotic of periodic solutions of autonomous parabolic equations with rapidly oscillating coefficients and equations with large diffusion coefficients”, Model. Anal. Inform. Sist., 19:1 (2012), 7–23.
  
• S. A. Kashchenko, “Stationary states of delay differentional equation of insect population’s dynamics”, Model. Anal. Inform. Sist., 19:5 (2012), 18–34.
  
• M. A. Kozachok, “Perfect prismatoids and the conjecture concerning face numbers of centrally symmetric polytopes”, Model. Anal. Inform. Sist., 19:6 (2012), 137-147.
  
• A. N. Magazinov, “A uniform asymptotical upper bound for the variance of a random polytope in a simple polytope”, Model. Anal. Inform. Sist., 19:6 (2012), 148-151.
  
• A. N. Maksimenko, “On affine reducibility of combinatorial polytopes”, Doklady Mathematics, 85:2 (2012), 283-285.
  
• V. O. Manturov, “Virtual crossing numbers for virtual knots”, Journal of Knot Theory and Its Ramifications, 21:13(2012), 13 p.
  
• V. O. Manturov and H. Wang, “Markov theorem for free links”, Journal of Knot Theory and Its Ramifications, 21:13(2012), 23 p.
  
• N. G. Moshchevitin, “Positive Integers: Counterexample to W. M. Schmidt's Conjecture”, Moscow Journal of Combinatorics and Number Theory, 2:2 (2012), 151 - 172.
  
• N. G. Moshchevitin, “On certain Littlewood-like and Schmidt-like problems in inhomogeneous Diophantine approximations”, FEMJ, 12:2 (2012), 237–254.
  
• O. R. Musin, “Borsuk—Ulam type theorems for manifolds”, Proc. Amer. Math. Soc., 140, 2551-2560, 2012
  
• O. R. Musin and A. S. Tarasov, “The Strong Thirteen Spheres Problem”, Discrete & Comput. Geom., 48:128–141, 2012.
  
• O. R. Musin, A. Yu. Ukhalov, H. Edelsbrunner, and O. P. Yakimova, “Fractal and Computational Geometry for Generalizing Cartographic Objects”, Model. Anal. Inform. Sist., 19:6 (2012), 152-160.
  
• M. V. Nevskii, “On Some Results in the Geometry of Convex Bodies and their Applications”, Model. Anal. Inform. Sist., 19:3 (2012), 113–123.
  
• D. I. Sabitov and I. Kh. Sabitov, “Volume polynomials for some polyhedra in spaces of constant curvature”, Model. Anal. Inform. Sist., 19:6 (2012), 161-169.
  
• I. Shkredov, “On Heilbronn's exponential sum”, Quart. J. Math, (2012), 1–11.
  
• I. N. Shnurnikov, “Arrangements of codimension-one submanifolds”, Sbornik: Mathematics, 203:9, 1357–1382, 2012.
  
• I. M. Shtogrin, “A new proof of the Euler formula”, Model. Anal. Inform. Sist., 19:6, 170-172, 2012.
  
• I. M. Shtogrin, “A test for the degeneracy of a convex polytope”, Uspekhi Mat. Nauk, 67:5(407), 175–176, 2012.
  
• E. Timofeev, “Balls in sequence spaces”, Model. Anal. Inform. Sist., 19:2, 109–114, 2012.
  
• Yu. M. Ustinovskii, “On almost free torus actions and Horrocks conjecture”, FEMJ, 12:1, 98–107, 2012.
  
• V. D. Volodin, “Geometric realization of the γ-vectors of 2-truncated cubes”, Uspekhi Mat. Nauk, 67:3(405), 181–182, 2012.
  
• I. V. Vyugin and I. D. Shkredov, “On additive shifts of multiplicative subgroups”, Mat. Sb., 203:6, 81–100, 2012.
  

• A. V. Akopyan and R. N. Karasev, “Cutting the Same Fraction of Several Measures”, Discrete & Comput. Geom., 49(2):402–410, 2013.
  
• A. V. Akopyan, “Combinatorial Generalizations of Jung’s Theorem”, Discrete & Comput. Geom., 49(3):478-484, 2013.
  
• A. V. Akopyan and R. N. Karasev, “Inscribing a regular octahedron into polytopes”, Discrete Mathematics, 313(1): 122—128, 2013.
  
• A. V. Akopyan and O. R. Musin, “On two-distance sets”, Matematicheskoe prosveshenie. Tret’ya seriya. N. 17, 136-151, 2013.
  
• P. V. M. Blagojević, B. Bukh and R. Karasev, “Turán numbers for K_s,t-free graphs: Topological obstructions and algebraic constructions”, Israel Journal of Mathematics, 197:1, 199-214, 2013.
  
• P. V. M. Blagojević and R. Karasev, “The Schwarz genus of the Stiefel manifold and counting geometric configurations”, Topology and its Applications,, 160:1592–1602, 2013.
  
• V. A. Bondarenko and A. V. Nikolaev, “Combinatorial and geometric properties of the Max-Cut and Min-Cut problems”, Doklady Mathematics, 88:2, 516-517, 2013.
  
• N. D. Bykova, S. D. Glyzin, and S. A. Kaschenko, “Parametric Resonance in the Logistic Equation with Delay under a Two-Frequency Perturbation”, Model. Anal. Inform. Sist., 20:3, 86–98 2013.
  
• M. Deza, M. D. Sikirić, and I. M. Shtogrin, “Fullerenes and disc-fullerenes”, Uspekhi Mat. Nauk, 68:4(412), 69–128, 2013.
  
• M. Deza, M. D. Sikirić, and I. M. Shtogrin, “Fullerene-Like Spheres with Faces of Negative Curvature”, Diamond and related nanostructures, Vol. 6, in Carbon Materials: Chemistry and Physics, pp. 251–274. Springer Netherlands, 2013.
  
• A. A. Dushistova, I. D. Kan, and N. G. Moshchevitin, “Differentiability of the Minkowski question mark function”, Journal of Mathematical Analysis and Applications, 401:2, 774-794, 2013.
  
• A. I. Garber, “Belt diameter of Π-zonotopes”, European Journal of Combinatorics, 34(5),923–933, 2013.
  
• S. D. Glyzin, “Dimensional Characteristics of Diffusion Chaos”, Model. Anal. Inform. Sist., 20:1, 30–51, 2013.
  
• S. D. Glyzin and P. L. Shokin, “Diffusion Chaos in Reaction – Diffusion Boundary Problem in the Dumbbell Domain”, Model. Anal. Inform. Sist., 20:3, 43–57, 2013.
  
• A. O. Ivanov and A. A. Tuzhilin, “Gromov Minimal Fillings for Finite Metric Spaces”, PUBLICATIONS DE L’INSTITUT MATHÉMATIQUE, Nouvelle série, 94:108, 3–15, 2013.,
• R. N. Karasev, “Analogues of the central point theorem for families with d-intersection property in ℝ^d”, Combinatorica, 32(6):689-702, 2013.
  
• R. N. Karasev and A. Yu. Volovikov, “Waist of the sphere for maps to manifolds”, Topology and its Applications, 160(13):1592–1602, 2013.
  
• R. N. Karasev, “An Analogue of Gromov’s Waist Theorem for Coloring the Cube”, Discrete & Comput. Geom., 49(3):444-453, 2013.
  
• R. N. Karasev, “On two conjectures of Makeev”, Zapiski Nauchnykh Seminarov POMI, 415, 5-14, 2013.
  
• R. Karasev, A. Hubard, and B. Aronov, “Convex equipartitions: the spicy chicken theorem”, Geometriae Dedicata, 2013.
  
• S. A. Kashchenko, “Relaxation Oscillations in a System with Delays Modeling the Predator–Prey Problem”, Model. Anal. Inform. Sist., 20:1, 52–98, 2013.
  
• R. O. Kuvaev, S. V. Kashin, V. A. Kapranov, H. Edelsbrunner, M. L. Miachin, O. A. Dunaeva, A. I. Rusakov, “Novel computer technologies for the prediction of histological structure in the stomach”, Dokazatelnaja gastroenterologia, 1:2, 3-12, 2013
  
• A. N. Magazinov, “Asymptotics for some combinatorial characteristics of the convex hull of a Poisson point process in the Clifford torus”, Discrete & Comput. Geom., 49(2):200–220, 2013.
  
• A. N. Magazinov, “An upper bound for a valence of a face in a parallelohedral tiling”, European Journal of Combinatorics, 34(7):1108–1113, 2013.
  
• M. V. Nevskii, «On Some Problem for a Simplex and a Cube in ℝⁿ», Model. Anal. Inform. Sist., 20:3, 77–85, 2013.
  
• M. V. Nevskii, “On the Minimal Positive Homothetic Image of a Simplex Containing a Convex Body”, Mat. Zametki, 93(3):448–456, 2013.
  
• T. E. Panov, “Geometric structures on moment-angle manifolds”, Uspekhi Mat. Nauk, 68:3(411),111–186, 2013.
  
• P. G. Parfenov, «On the Turns of Digital Images», Model. Anal. Inform. Sist., 20:2, 157–165, 2013.
  
• T. Schoen and I. Shkredov, “Higher moments of convolutions”, Journal of Number Theory, 133(5) (2013), 1693–1737.
  
• I. Kh. Sabitov, “On a method of volume calculation for bodies”, Siberian Electronic Mathematical Reports, 10, 615-626, 2013
  
• T. E. Samsonov, “Morphometric mapping of topography by flowline hachures”, The Cartographic Journal, 17p, 2013.
  
• I. M. Shtogrin, “A flexible handle disk with handle”, Uspekhi Mat. Nauk, 68:5(413), 177–178, 2013.
  
• E. Timofeev, “Unbiased Entropy Estimator for Binary Sequences”, Model. Anal. Inform. Sist., 20:1, 107–115, 2013.
  
• E. Timofeev, “Algorithm for Efficient Entropy Estimation”, Model. Anal. Inform. Sist., 20:2, 178–185, 2013.
  

Preprints:

• A. V. Akopyan and A. A. Glazyrin, “On maximum volume simplices in polytopes”, Periodica Mathematica Hungarica, Accepted
  
• A. V. Akopyan, R. N. Karasev, and A. Yu. Volovikov, “Borsuk—Ulam type theorems for metric spaces”, Arxiv e-prints, arXiv:1209.1249, 2012.
  
• S. Artstein-Avidan, R. Karasev and Y. Ostrover, “From Symplectic Measurements to the Mahler Conjecture”, Arxiv e-prints, arXiv:1303.4197, 2013.
  
• A. M. Balitskiy, A. I. Garber, and R. N. Karasev, “Another ham sandwich in the plane”, Arxiv e-prints, arXiv:1307.7698, 2013.
  
• I. I. Bogdanov and G. R. Chelnokov, “Finding a subset of vectors with a coordinatewise large sum”, Arxiv e-prints, arXiv:1201.2880, 2012.
  
• V. A. Bondarenko, A. V. Nikolaev, M. E. Symanovich, and R. O. Shemyakin, “On one recognition problem on cut polytope relaxations”, Automation and Remote Contro, Accepted.
• V. M. Buchstaber and T. E. Panov, “Тoric Topology” (a book project), Arxiv e-prints, arXiv:1210.2368, 2012.
  
• Yu. B. Chernyakov, G. Sharygin, and A. S. Sorin, “Bruhat Order in Full Symmetric Toda System”, Arxiv e-prints, arXiv:1212.4803, 2012.
  
• N. P. Dolbilin, H. Edelsbrunner, A. A. Glazyrin, and O. R. Musin, “Functionals on Triangulations of Delaunay Sets”, Arxiv e-prints, arXiv:1211.7053, 2012.
  
• V. L. Dolnikov, “On some corollaries of a transversal theorem”, Model. Anal. Inform. Sist., 19:6 (2012), 107-111.
  
• N. Erokhovets, “Criterion for the Buchstaber invariant of simplicial complexes to be equal to two”, Arxiv e-prints, arXiv:1212.3970, 2012.
  
• A. A. Gaifullin and S. A. Gaifullin, “Deformations of period lattices of flexible polyhedral surfaces”, Arxiv e-prints, arXiv:1306.0240, 2013.
  
• A. I. Garber, “On π-surfaces of four-dimensional parallelohedra”, Arxiv e-prints, arXiv:1309.7661, 2013.
  
• A. I. Garber, A. A. Gavrilyuk, and A. N. Magazinov, “The Voronoi conjecture for parallelohedra with simply connected δ-surface”, Arxiv e-prints, arXiv:1212.1019, 2012.
  
• E. Grbić, T. E. Panov, S. Theriault, and J. Wu, “Homotopy types of moment-angle complexes”, Arxiv e-prints, arXiv:1211.0873, 2012.
  
• N. Gravin, F. V. Petrov, S. Robins, and D. Shiryaev, “Convex curves and a Poisson imitation of lattices”, Arxiv e-prints, arXiv:1211.5983, 2012.
  
• A. O. Ivanov and A. A. Tuzhilin, “Optimal Networks (Lecture Notes, First Yaroslavl Summer School on Discrete and Computational Geometry)”, Arxiv e-prints, arXiv:1210.6228, 2012.
  
• R. Karasev and B. Matschke, “Projective center point and Tverberg theorems”, Arxiv e-prints, arXiv:1207.2204, 2012.
  
• R. N. Karasev, “Covering dimension using toric varieties”, Arxiv e-prints, arXiv:1307.3437, 2013.
  
• L. H. Kauffman and V. O. Manturov, “A Graphical Construction of the sl(3) Invariant for Virtual Knots”, Arxiv e-prints, arXiv:1207.0719, 2012.
  
• A. N. Magazinov, “Voronoi's Conjecture for extentions of Voronoi parallelohedra”, Arxiv e-prints, arXiv:1308.6225, 2013.
  
• V. O. Manturov, “On Chromatic Numbers of Integer and Rational Lattices”, Arxiv e-prints, arXiv:1206.1934, 2012.
  
• S. A. Melikhov, “Combinatorics of combinatorial topology”, Arxiv e-prints, arXiv:1208.6309, 2012.
  
• S. A. Melikhov, “Metrizable uniform spaces”, Arxiv e-prints, arXiv:1106.3249, 2012.
  
• S. A. Melikhov, “Infinite-dimensional uniform polyhedra”, Arxiv e-prints, arXiv:1109.0346, 2012.
  
• N. G. Moshchevitin, “On Harrap's conjecture in Diophantine approximation”, Arxiv e-prints, arXiv:1204.2561, 2012.
  
• N. G. Moshchevitin, “Diophantine exponents for systems of linear forms in two variables”, Arxiv e-prints, arXiv:1209.1697, 2012.
  
• N. G. Moshchevitin, “A note on two linear forms”, Arxiv e-prints, arXiv:1303.6093, 2013.
  
• N. G. Moshchevitin, “A note on Diophatine approximation in {SL}₂(R)”, Arxiv e-prints, arXiv:1304.4842, 2013.
  
• N. G. Moshchevitin, «Sur une question de N. Chevallier liée à l'approximation Diophantienne simultanée», Arxiv e-prints, arXiv:1310.6691, 2013.
  
• N. G. Moshchevitin, “On Diophantine exponents in dimension 4”, Arxiv e-prints, arXiv:1309.7826, 2013.
  
• O. R. Musin, “Extensions of Sperner and Tucker's lemma for manifolds”, Arxiv e-prints, arXiv:1212.1899, 2012.
  
• O. R. Musin and A. V. Nikitenko, “Optimal packings of congruent circles on a square flat torus”, Arxiv e-prints, arXiv:1212.0649, 2012.
  
• A. Ordine and A. N. Magazinov, “A criterion of reducibility for a parallelohedron”, Arxiv e-prints, arXiv:1305.5345, 2013.
  
• F. V. Petrov and P. Zusmanovich, “On Shirshov bases of graded algebras”, Arxiv e-prints, arXiv:1201.5837, 2012.
  
• T. E. Samsonov, V. N. Semin, P. I. Konstantinov, and M. I. Varentzov, “Calculation of geometric characteristics of land cover and urban canyon for multi-scale parameterization of megalopolis meteorological models”, Arxiv e-prints, arXiv:1305.6067, 2013.
  
• G. Sharygin and D. Talalaev, “Deformation quantization of integrable systems”, Arxiv e-prints, arXiv:1210.2840, 2012.
  
• E. V. Shchepin, “A Topological Code for Plane Images”, Arxiv e-prints, arXiv:1212.0819, 2012.
  
• I. Shkredov, “Some new inequalities in additive combinatorics”, Arxiv e-prints, arXiv:1208.2344, 2012.
  
• I. Shkredov, “Some new results on higher energies”, Arxiv e-prints, arXiv:1212.6414, 2013.
  
• I. Shkredov, “Sumsets in quadratic residues”, Arxiv e-prints, arXiv:1305.4093, 2013.
  
• I. N. Shnurnikov, “Existence of a line without real points in quadric intersection”, Arxiv e-prints, arXiv:1204.6606, 2012.
  
• M. Tancer and D. Tonkonog, “Good covers are algorithmically unrecognizable”, Arxiv e-prints, arXiv:1205.6082, 2012.
  
• E. Timofeev and A. Kaltchenko, “Nearest-neighbor Entropy Estimators with Weak Metrics”, Arxiv e-prints, arXiv:1205.5856, 2012.
  
• V. Volodin, “Classification of flag simplicial 3-polytopes”, Arxiv e-prints, arXiv:1212.4696, 2012.