List of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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1. |
E. A. Kudryavtseva, I. M. Nikonov, A. T. Fomenko, “Maximally symmetric cell decompositions of surfaces and their coverings”, Sb. Math., 199:9 (2008), 1263–1353 |
2. |
E. A. Kudryavtseva, A. T. Fomenko, “Symmetries groups of nice Morse functions on surfaces”, Doklady Mathematics, 86:2 (2012), 691–693 |
3. |
E. A. Kudryavtseva, “Realization of smooth functions on surfaces as height functions”, Sb. Math., 190:3 (1999), 349–405 |
4. |
O. A. Zagryadskii, E. A. Kudryavtseva, D. A. Fedoseev, “A generalization of Bertrand's theorem to surfaces of revolution”, Sb. Math., 203:8 (2012), 1112–1150 |
5. |
E. A. Kudryavtseva, “The Topology of Spaces of Morse Functions on Surfaces”, Math. Notes, 92:2 (2012), 219–236 |
6. |
E. A. Kudryavtseva, “On the homotopy type of spaces of Morse functions on surfaces”, Sb. Math., 204:1 (2013), 75–113 |
7. |
E. A. Kudryavtseva, “Helicity is the Only Invariant of Incompressible Flows whose Derivative is Continuous in the $C^1$ Topology”, Math. Notes, 99:4 (2016), 611–615 math.DS/1511.03746 |
8. |
E. A. Kudryavtseva, N. N. Nekhoroshev, “Periodicheskie traektorii, ostayuschiesya posle raspada semeistv takikh traektorii pri vozmuschenii sistem obyknovennykh differentsialnykh uravnenii”, Sovmestnye zasedaniya seminara im. I. G. Petrovskogo i Moskovskogo matematicheskogo obschestva (XIX sessiya) (Moskva, 20–24 yanv. 1998), Uspekhi mat. nauk, 53, no. 4, 1998, 206–207
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15
[x]
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9. |
Alexey Bolsinov, Lorenzo Guglielmi, Elena Kudryavtseva, “Symplectic invariants for parabolic orbits and cusp singularities of integrable systems”, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 376:2131 (2018), 20170424 , 29 pp., arXiv: 1802.09910
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14
[x]
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10. |
E. A. Kudryavtseva, “Conjugation Invariants on the Group of Area-Preserving Diffeomorphisms of the Disk”, Math. Notes, 95:6 (2014), 877–880 |
11. |
E. A. Kudryavtseva, “Special framed Morse functions on surfaces”, Moscow Univ. Math. Bull., 67:4 (2012), 151–157 |
12. |
A. T. Fomenko, E. A. Kudryavtseva, “Each finite group is a symmetry group of some map (an “atom”–bifurcation)”, Moscow Univ. Math. Bull., 68:3 (2013), 148–155 |
13. |
S. A. Bogatyi, D. L. Gonçalves, E. A. Kudryavtseva, H. Zieschang, “Realization of primitive branched coverings over closed surfaces following the Hurwitz approach”, Central Europ. J. of Math., 1:2 (2003), 184–197 (electronic)
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10
[x]
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14. |
E. A. Kudryavtseva, “An analogue of the Liouville theorem for integrable Hamiltonian systems with incomplete flows”, Doklady Mathematics, 86:1 (2012), 527–529 , arXiv: math.DG/1203.5455 |
15. |
E. A. Kudryavtseva, D. A. Permyakov, “Framed Morse functions on surfaces”, Sb. Math., 201:4 (2010), 501–567 |
16. |
E. A. Kudryavtseva, “Liouville integrable generalized billiard flows and Poncelet type theorems”, Journal of Mathematical Sciences, 225:4 (2017), 611–638 |
17. |
D. L. Gonçalves, E. A. Kudryavtseva, H. Zieschang, “Roots of mappings on nonorientable surfaces and equations in free groups”, Manuscripta Math., 107:3 (2002), 311–341
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8
[x]
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18. |
E. Kudryavtseva, N. Martynchuk, “Existence of a smooth Hamiltonian circle action near parabolic orbits and cuspidal tori”, Regular and Chaotic Dynamics, 26:6 (2021), 732–741 , arXiv: 2106.04838
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7
[x]
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19. |
E. A. Kudryavtseva, D. A. Fedoseev, “Mechanical systems with closed orbits on manifolds of revolution”, Sb. Math., 206:5 (2015), 718–737 |
20. |
E. A. Kudryavtseva, T. A. Lepskii, “The topology of Lagrangian foliations of integrable systems with hyperelliptic Hamiltonian”, Sb. Math., 202:3 (2011), 373–411 |
21. |
E. A. Kudryavtseva, “Hidden toric symmetry and structural stability of singularities in integrable systems”, Published online 25 October 2021, European Journal of Mathematics, 8 (2022), 1487–1549 https://rdcu.be/cz5cO, arXiv: 2008.01067
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6
[x]
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22. |
E. A. Kudryavtseva, “Uniform Morse lemma and isotope Morse functions on surfaces”, Moscow Univ. Math. Bull., 64:4 (2009), 150–158 |
23. |
O. V. Bogopolski, E. A. Kudryavtseva, H. Zieschang, “Simple curves on surfaces and an analog of a theorem of Magnus for surface groups”, Math. Z., 247:3 (2004), 595–609
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6
[x]
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24. |
Yu. A. Brailov, E. A. Kudryavtseva, “Stable topological nonconjugacy of Hamiltonian systems on two-dimensional surfaces”, Moscow Univ. Math. Bull., 54:2 (1999), 20–27 |
25. |
E. A. Kudryavtseva, A. A. Oshemkov, “Bifurkatsii integriruemykh mekhanicheskikh sistem s magnitnym polem na poverkhnostyakh vrascheniya”, Chebyshevskii sbornik, 21:2 (2020), 244–265
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5
[x]
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26. |
E. A. Kudryavtseva, “Stable conjugation invariants of Hamiltonian systems on two-dimensional surfaces”, Soviet Math. Dokl., 58:1 (1998), 67–70 |
27. |
M. L. Gerver, E. A. Kudryavtseva, “A universal sequence in the classical travel-time inversion problem”, Sb. Math., 188:4 (1997), 483–536 |
28. |
E. A. Kudryavtseva, “Topology of the spaces of functions with prescribed singularities on surfaces”, Doklady Mathematics, 93:3 (2016), 264–266 math.GT/1601.02283 |
29. |
E. A. Kudryavtseva, “Connected components of spaces of Morse functions with fixed critical points”, Moscow Univ. Math. Bull., 67:1 (2012), 1–10 |
30. |
D. Andrica, L. Funar, E. A. Kudryavtseva, “On the minimal number of critical points of smooth maps between closed manifolds”, Russian Journal of Mathematical Physics, 16:3 (2009), 363–370
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4
[x]
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31. |
S. A. Bogatyi, D. L. Gonçalves, E. A. Kudryavtseva, H. Zieschang, “Minimal Number of Preimages Under Maps of Surfaces”, Math. Notes, 75:1 (2004), 13–18 |
32. |
E. A. Kudryavtseva, “Canonical form of Reeb graph for Morse functions on surfaces. Inversion of 2-sphere in 3-space”, International Journal of Shape Modeling, 5:1 (1999), 69–80
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4
[x]
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33. |
E. A. Kudryavtseva, “Generalization of geometric Poincaré theorem for small perturbations”, Regular and Chaotic Dynamics, 3:2 (1998), 46–66
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4
[x]
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34. |
E. A. Kudryavtseva, A. A. Oshemkov, “Structurally stable nondegenerate singularities of integrable systems”, Russian Journal of Mathematical Physics, 29:1 (2022), 57–75 https://rdcu.be/cJGUU, arXiv: 2112.00130
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3
[x]
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35. |
D. A. Fedoseev, E. A. Kudryavtseva, “On Bertrands manifolds with equators”, Moscow Univ. Math. Bull., 71:1 (2016), 23–26 |
36. |
S. A. Bogatyi, J. Fricke, E. A. Kudryavtseva, “On multiplicity of mappings between surfaces”, The Zieschang Gedenkschrift, Geometry and Topology Monographs, 14, ed. M. Boileau et al., Geometry & Topology Publications, Coventry, 2008, 49–62 , arXiv: math.GT/0904.1197
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3
[x]
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37. |
E. A. Kudryavtseva, “Reduction of Morse functions on surfaces to canonical form by smooth deformation”, Regular and Chaotic Dynamics, 4:3 (1999), 53–60
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3
[x]
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38. |
M. L. Gerver, E. A. Kudryavtseva, “A new proof of theorems on a universal sequence and extremal properties of discrete measures”, Russian Math. Surveys, 52:6 (1997), 1298–1299 |
39. |
M. L. Gerver, E. A. Kudryavtseva, “A theorem on order relations generated by totally positive kernels”, Sb. Math., 186:9 (1995), 1241–1269 |
40. |
E. A. Kudryavtseva, D. A. Fedoseev, “Superintegrable Bertrand natural mechanical systems”, Journal of Mathematical Sciences, 248:4 (2020), 409–429 https://rdcu.be/b4Waa |
41. |
S. A. Bogatyi, E. A. Kudryavtseva, H. Zieschang, “On the Coincidence Points of Mappings of the Torus into a Surface”, Proc. Steklov Inst. Math., 247 (2004), 9–27 |
42. |
M. L. Gerver, E. A. Kudryavtseva, “Extremal properties of wave quides with a finite number of layers in inverse travel-time problems”, Dokl. Math., 56:2 (1997), 777–780 |
43. |
E. A. Kudryavtseva, S. A. Podlipaev, “Superintegrable Bertrand magnetic geodesic flows”, Journal of Mathematical Sciences, 259:5 (2021), 689–698 https://rdcu.be/cBp4d, arXiv: 2001.05067 |
44. |
Natalia A. Viana Bedoya, Daciberg Lima Gonçalves, Elena A. Kudryavtseva, “Indecomposable branched coverings over the projective plane by surfaces M with χ(M)≤0”, Journal of Knot Theory and Its Ramifications, 27:5 (2018), 1850030 , 23 pp., arXiv: 1702.01822
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1
[x]
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45. |
S. I. Bogataya, S. A. Bogatyi, E. A. Kudryavtseva, “An inverse theorem on ‘economic’ maps”, Sb. Math., 203:4 (2012), 554–568 |
46. |
S. A. Bogatyi, D. L. Gonçalves, E. A. Kudryavtseva, H. Zieschang, “On the Wecken property for the root problem of mappings between surfaces”, Mosc. Math. J., 3:4 (2003), 1223–1245
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1
[x]
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47. |
E. A. Kudryavtseva, “Periodic motions of a planetary system with double planets. The generalized Hill problem”, Moscow Univ. Math. Bull., 54:4 (1999), 39–41 |
48. |
M. L. Gerver, E. A. Kudryavtseva, “Extremal properties of discrete measures, the universal sequence, and the duality principle”, Sb. Math., 189:11 (1998), 1587–1610 |
49. |
M. L. Gerver, E. A. Kudryavtseva, “On the solution set boundary in the travel-time inversion problem”, Transl. Dokl. Russian Acad. Sci. Earth Sci. Sect., 347:2 (1996), 262–264 |
50. |
A. Yu. Konyaev, E. A. Kudryavtseva, V. I. Sidelnikov, “Geometriya i topologiya dvumernykh simplekticheskikh mnogoobrazii s osobennostyami obschego polozheniya i gamiltonovykh sistem na nikh”, Vestn. Mosk. un-ta. Matem. Mekhan., 2024, no. 5, 22-33 |
51. |
E. A. Kudryavtseva, M. V. Onufrienko, “Classification of singularities of smooth functions with a finite cyclic symmetry group”, Russian Journal of Mathematical Physics, 30:1 (2023), 76–94 |
52. |
E. A. Kudryavtseva, “Continuous orbital invariants of integrable Hamiltonian systems”, Lobachevskii Journal of Mathematics, 38:6 (2017), 1027–1041 |
53. |
P. M. Akhmet'ev, E. A. Kudryavtseva, A. Yu. Smirnov, “A generalization of the Arnol'd inequality in MHD”, Magnetohydrodynamics, 52:1 (2016), 5–14 |
54. |
E. A. Kudryavtseva, “Multipliers of periodic Hill solutions in the theory of moon motion and an averaging method”, Moscow Univ. Math. Bull., 70:4 (2015), 160–170 |
55. |
S. A. Bogatyi, E. A. Kudryavtseva, Kh. Tsishang, “O peresecheniyakh zamknutykh krivykh na poverkhnostyakh”, Trudy Sem. vekt. tenz. analizu, XXVIII, 2012, 86–118 , arXiv: math.GT/1111.5277 |
56. |
E. A. Kudryavtseva, “On the topology of the spaces of Morse functions on surfaces”, International conference “Differential equations and related topics” dedicated to Ivan G. Petrovskii. XXIII joint session of Petrovskii Seminar and Moscow Math. Soc. Book of abstracts (Moscow, May 30 – June 4, 2011), M. V. Lomonosov Moscow State University, V. A. Steklov Mathematical Institute RAS, 2011, 69–71 |
57. |
E. A. Kudryavtseva, T. A. Lepskii, “Integriruemye gamiltonovy sistemy s nepolnymi potokami i mnogougolniki Nyutona”, Sovrem. Probl. Matem. Mekhan., VI:3 (2011), 42–55 , arXiv: math.DG/1107.1911 |
58. |
E. A. Kudryavtseva, T. A. Lepskii, “Topologiya sloeniya i teorema Liuvillya dlya integriruemykh sistem s nepolnymi potokami”, Trudy Sem. vekt. tenz. analizu, XXVII, 2011, 106–149 |
59. |
E. A. Kudryavtseva, I. M. Nikonov, A. T. Fomenko, “Symmetric and irreducible abstract polyhedra”, V. A. Sadovnichiy Anniv. Coll. Articles, Contemporary Problems of Mathematics and Mechanics, III, no. 2, 2009, 58–97 (Russian) |
60. |
D. L. Gonçalves, E. A. Kudryavtseva, H. Zieschang, “Some quadratic equations in the free group of rank 2”, The Zieschang Gedenkschrift, Geometry and Topology Monographs, 14, ed. M. Boileau et al., Geometry & Topology Publications, Coventry, 2008, 219–294 , arXiv: math.GR/0904.1421 |
61. |
E. A. Kudryavtseva, K. Varadarajan, P. Zvengrowski, “Stable inverses of vector bundles and $K$-theory”, JP J. Geom. Top., 8:2 (2008), 129–150 |
62. |
E. A. Kudryavtseva, I. M. Nikonov, A. T. Fomenko, “Maksimalno simmetrichnye kletochnye razbieniya poverkhnostei i ikh nakrytiya”, Mezhdunarodnaya konferentsiya «Differentsialnye uravneniya i topologiya», posvyaschennaya 100-letiyu so dnya rozhdeniya Lva Semenovicha Pontryagina, Tezisy dokladov (Moskva, 17–22 iyunya 2008 g.), Matematicheskii in-t im. V. A. Steklova RAN, Moskovskii gosudarstvennyi universitet im. M. V. Lomonosova, 2008, 471 |
63. |
E. A. Kudryavtseva, E. L. Lakshtanov, “Classification of singularities and bifurcations of critical points of even functions”, Topological Methods in the Theory of Integrable Systems, eds. A. V. Bolsinov, A. T. Fomenko, A. A. Oshemkov, Cambridge Scientific Publishers, Cambridge, 2006, 173–214 math.DG/1212.4302 |
64. |
D. L. Gonçalves, E. A. Kudryavtseva, H. Zieschang, “An algorithm for minimal number of intersection points of curves on surfaces”, Proc. Seminar on Vector and Tensor Analysis, 26, 2005, 139–167 |
65. |
E. A. Kudryavtseva, F. Saidak, P. Zvengrowski, “Riemann and his zeta function”, Morfismos, 9:2 (2005), 1–48 |
66. |
S. A. Bogatyi, D. L. Gonçalves, E. A. Kudryavtseva, H. Zieschang, “Realization of primitive branched coverings over closed surfaces”, Advances in Topological Quantum Field Theory, NATO Sci. Ser. II Math. Phys. Chem., 179, ed. J. M. Bryden, Kluwer Academic Publishers, Dordrecht, 2004, 297–316 |
67. |
E. A. Kudryavtseva, R. Weidmann, H. Zieschang, “Quadratic equations in free groups and topological applications”, Recent advances in group theory and low-dimensional topology (Pusan, 2000), Research and exposition in mathematics, 27, eds. J. Mennike and Jung Rae Cho, Heldermann, Lemgo, 2003, 83–122 |
68. |
C. Hayat-Legrand, E. A. Kudryavtseva, S. Wang, H. Zieschang, “Degrees of self-mappings of Seifert manifolds with finite fundamental groups”, Rendiconti Istit. Mat. Univ. Trieste, 32:1 (2001), 131–147 |
69. |
D. L. Gonçalves, E. A. Kudryavtseva, H. Zieschang, “Intersection index of curves on surfaces and applications to quadratic equations in free groups”, Atti Sem. Mat. Fis. Univ. Modena, IL (2001), 339–400 |
70. |
E. A. Kudryavtseva, “Periodic solutions of the $N$-body problem and applications to planet systems with satellites”, International conference “Differential equations and related topics” dedicated to the Centenary Anniv. of Ivan G. Petrovskii. XX joint session of Petrovskii Seminar and Moscow Math. Soc. Book of abstracts. (Moscow, May 22–27, 2001), Moscow M. V. Lomonosov State University, V. A. Steklov Mathematical Institute RAS, 2001, 221–222 |
71. |
M. L. Gerver, E. A. Kudryavtseva, “Extremal properties of discrete measures, a universal sequence, and the duality principle”, Dokl. Math., 58:3 (1998), 436–439 |
72. |
E. A. Kudryavtseva, “Ustoichivye topologicheskie i gladkie invarianty sopryazhennosti gamiltonovykh sistem na poverkhnostyakh”, Topologicheskie metody v teorii gamiltonovykh sistem, eds. A. T. Fomenko, A. V. Bolsinov, Faktorial, M., 1998, 147–202 |
73. |
M. L. Gerver, E. A. Kudryavtseva, “On the boundary of the set of solutions in travel time inversion and on extremal properties of waveguides with a finite number of layers”, IUGG XXI General Assembly. Abstracts. Week B (Boulder, Colorado. July 2–14), 1995, B10 (UB31B-7) |
74. |
E. A. Kudryavtseva, M. L. Gerver, “An Algorithm Yielding the Universal Sequence $U$ in travel Time Inversion”, IUGG XXI General Assembly. Abstracts. Week B (Boulder, Colorado. July 2–14), 1995, B11 (UB31B-13) |
75. |
M. L. Gerver, E. A. Kudryavtseva, “Klassifikatsiya perestanovok uslovno skhodyaschikhsya ryadov”, Shestaya letnyaya konferentsiya turnira gorodov, ITsTG, M., 1994, 20–25, 57–65 |
76. |
E. A. Kudryavtseva, L. M. Lerman, “Bifurcations in integrable systems with three degrees of freedom — I”, Mathematical Aspects of Mechanics, Collected papers. Dedicated to Dmitry Valerevich Treschev on the occasion of his 60th birthday and to Sergey Vladimirovich Bolotin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 327, Steklov Math. Inst., Moscow, 2024 (to appear) |
77. |
A. Bolsinov, N. Dobrovol'skii, A. Ivanov, E. Kudryavtseva, A. Oshemkov, F. Popelenskii, A. Tuzhilin, V. Chubarikov, A. Shafarevich, Chebyshevskii Sb., 21:2 (2020), 5–7 |
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