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Protasov Vladimir Yur'evich

Publications in Math-Net.Ru

  1. Unique expansions in number systems via refinement equations

    Mat. Sb., 216:11 (2025),  135–149
  2. Autopolar conic bodies and polyhedra

    Mat. Sb., 216:3 (2025),  156–176
  3. On the Length of Switching Intervals of a Stable Dynamical System

    Trudy Mat. Inst. Steklova, 321 (2023),  162–171
  4. Antinorms on cones: duality and applications

    Linear Multilinear Algebra, 70:22 (2022),  7387–7413
  5. Self-affine $2$-attractors and tiles

    Mat. Sb., 213:6 (2022),  71–110
  6. Generalized Markov–Bernstein Inequalities and Stability of Dynamical Systems

    Trudy Mat. Inst. Steklova, 319 (2022),  251–267
  7. Self-affine tiling of polyhedra

    Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021),  55–61
  8. Analytic functions in local shift-invariant spaces and analytic limits of level dependent subdivision

    J. Fourier Anal. Appl., 27:3 (2021),  45–31
  9. On a lemma arising in the solution of Waring's problem

    Sibirsk. Mat. Zh., 62:4 (2021),  803–806
  10. Spaces of Dyadic Distributions

    Funktsional. Anal. i Prilozhen., 54:4 (2020),  56–63
  11. On Mutually Inverse Transforms of Functions on a Half-Line

    Dokl. Akad. Nauk, 489:5 (2019),  452–455
  12. Newman cyclotomic polynomials, refinable splines and the Euler binary partition function

    Mat. Sb., 209:12 (2018),  117–138
  13. Compact noncontraction semigroups of affine operators

    Mat. Sb., 206:7 (2015),  33–54
  14. Asymptotics of Products of Nonnegative Random Matrices

    Funktsional. Anal. i Prilozhen., 47:2 (2013),  68–79
  15. Lipschitz stability of operators in Banach spaces

    Trudy Mat. Inst. Steklova, 280 (2013),  275–287
  16. Separation of convex sets by extreme hyperplanes

    Fundam. Prikl. Mat., 17:4 (2012),  3–12
  17. On Linear Selections of Convex Set-Valued Maps

    Funktsional. Anal. i Prilozhen., 45:1 (2011),  56–68
  18. Invariant functions for the Lyapunov exponents of random matrices

    Mat. Sb., 202:1 (2011),  105–132
  19. Invariant Functionals for Random Matrices

    Funktsional. Anal. i Prilozhen., 44:3 (2010),  84–88
  20. Semigroups of non-negative matrices

    Uspekhi Mat. Nauk, 65:6(396) (2010),  191–192
  21. Approximation by simple partial fractions and the Hilbert transform

    Izv. RAN. Ser. Mat., 73:2 (2009),  123–140
  22. Graph Isomorphism and Equality of Simplices

    Mat. Zametki, 85:5 (2009),  758–767
  23. Estimating the chromatic numbers of Euclidean space by convex minimization methods

    Mat. Sb., 200:6 (2009),  3–22
  24. Generalized compactness in linear spaces and its applications

    Mat. Sb., 200:5 (2009),  71–98
  25. Meyer Wavelets with Least Uncertainty Constant

    Mat. Zametki, 84:5 (2008),  732–740
  26. On the number of closed geodesics on a polyhedron

    Uspekhi Mat. Nauk, 63:5(383) (2008),  197–198
  27. Self-similarity equations and the $p$-radius of operators

    Uspekhi Mat. Nauk, 62:6(378) (2007),  185–186
  28. Approximation by dyadic wavelets

    Mat. Sb., 198:11 (2007),  135–152
  29. Closed geodesics on the surface of a simplex

    Mat. Sb., 198:2 (2007),  103–120
  30. Spectral factorization of 2-block Toeplitz matrices and refinement equations

    Algebra i Analiz, 18:4 (2006),  127–184
  31. Fractal curves and wavelets

    Izv. RAN. Ser. Mat., 70:5 (2006),  123–162
  32. A generalization of Poncelet's theorem

    Uspekhi Mat. Nauk, 61:6(372) (2006),  187–188
  33. Dyadic wavelets and refinable functions on a half-line

    Mat. Sb., 197:10 (2006),  129–160
  34. Теория экстремума в простых примерах

    Mat. Pros., Ser. 3, 9 (2005),  32–55
  35. Piecewise smooth refinable functions

    Algebra i Analiz, 16:5 (2004),  101–123
  36. On the regularity of de Rham curves

    Izv. RAN. Ser. Mat., 68:3 (2004),  139–180
  37. On the Asymptotics of the Binary Partition Function

    Mat. Zametki, 76:1 (2004),  151–156
  38. On the Decay of Infinite Products of Trigonometric Polynomials

    Mat. Zametki, 72:6 (2002),  892–908
  39. Asymptotic behaviour of the partition function

    Mat. Sb., 191:3 (2000),  65–98
  40. On possible generalizations of convex addition

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 4,  13–18
  41. On a generalization of the convex addition

    Fundam. Prikl. Mat., 4:2 (1998),  641–650
  42. The generalized joint spectral radius. A geometric approach

    Izv. RAN. Ser. Mat., 61:5 (1997),  99–136
  43. The joint spectral radius and invariant sets of the several linear operators

    Fundam. Prikl. Mat., 2:1 (1996),  205–231
  44. Algorithms for approximate calculation of the minimum of a convex function from its values

    Mat. Zametki, 59:1 (1996),  95–102

  45. From the editors of this issue

    Mat. Sb., 216:3 (2025),  4
  46. Аэродинамическая задача Ньютона и человек-невидимка (окончание)

    Kvant, 2022, no. 2,  2–11
  47. Аэродинамическая задача Ньютона и человек-невидимка

    Kvant, 2022, no. 1,  2–12
  48. Чебышёв и теория приближений

    Kvant, 2021, no. 6,  2–4
  49. Кратчайшие пути и гипотеза Пуанкаре

    Kvant, 2021, no. 1,  12–22
  50. Кратчайшие пути и гипотеза Пуанкаре

    Kvant, 2020, no. 11-12,  8–12
  51. Как выйти из леса?

    Kvant, 2020, no. 9,  10–17
  52. Выход в пространство-2 (окончание)

    Kvant, 2018, no. 2,  2–6
  53. Выход в пространство-2 (продолжение)

    Kvant, 2018, no. 1,  8–14
  54. Sergei Vladimirovich Konyagin turns 60

    Trudy Mat. Inst. Steklova, 303 (2018),  7–16
  55. Выход в пространство-2

    Kvant, 2017, no. 12,  7–11
  56. Сколько времени длится причаливание?

    Kvant, 2017, no. 11,  2–9
  57. Два века теоремы Понселе

    Kvant, 2014, no. 5-6,  2–12
  58. Пространство $L_p$ и замечательные точки треугольника

    Kvant, 2012, no. 2,  2–11
  59. Студенческие олимпиады мехмата МГУ 2010–2011 гг.

    Mat. Pros., Ser. 3, 16 (2012),  214–227
  60. Геометрия звездного неба

    Kvant, 2010, no. 2,  14–22
  61. Студенческие олимпиады мехмата МГУ

    Mat. Pros., Ser. 3, 14 (2010),  225–234
  62. Теорема Хелли и вокруг нее

    Kvant, 2009, no. 3,  8–14
  63. Касающиеся окружности: от Тебо до Фейербаха

    Kvant, 2008, no. 4,  10–15
  64. О двух велосипедистах и вишневой косточке

    Kvant, 2008, no. 3,  41–44
  65. Геометрические шедевры Шарыгина

    Kvant, 2006, no. 1,  35–39
  66. Игорь Фёдорович Шарыгин (1937–2004)

    Mat. Pros., Ser. 3, 9 (2005),  5–10

© Steklov Math. Inst. of RAS, 2026