List of publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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2024 |
1. |
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) |
2. |
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 |
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2023 |
3. |
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 |
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2022 |
4. |
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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5. |
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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2021 |
6. |
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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2020 |
7. |
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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8. |
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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2021 |
9. |
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 |
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2020 |
10. |
E. A. Kudryavtseva, D. A. Fedoseev, “Superintegrable Bertrand natural mechanical systems”, Journal of Mathematical Sciences, 248:4 (2020), 409–429 https://rdcu.be/b4Waa |
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2018 |
11. |
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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12. |
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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2017 |
13. |
E. A. Kudryavtseva, “Continuous orbital invariants of integrable Hamiltonian systems”, Lobachevskii Journal of Mathematics, 38:6 (2017), 1027–1041 |
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2016 |
14. |
D. A. Fedoseev, E. A. Kudryavtseva, “On Bertrands manifolds with equators”, Moscow Univ. Math. Bull., 71:1 (2016), 23–26 |
15. |
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 |
16. |
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 |
17. |
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 |
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2015 |
18. |
E. A. Kudryavtseva, D. A. Fedoseev, “Mechanical systems with closed orbits on manifolds of revolution”, Sb. Math., 206:5 (2015), 718–737 |
19. |
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 |
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2017 |
20. |
E. A. Kudryavtseva, “Liouville integrable generalized billiard flows and Poncelet type theorems”, Journal of Mathematical Sciences, 225:4 (2017), 611–638 |
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2014 |
21. |
E. A. Kudryavtseva, “Conjugation Invariants on the Group of Area-Preserving Diffeomorphisms of the Disk”, Math. Notes, 95:6 (2014), 877–880 |
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2013 |
22. |
E. A. Kudryavtseva, “On the homotopy type of spaces of Morse functions on surfaces”, Sb. Math., 204:1 (2013), 75–113 |
23. |
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 |
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2012 |
24. |
E. A. Kudryavtseva, “Connected components of spaces of Morse functions with fixed critical points”, Moscow Univ. Math. Bull., 67:1 (2012), 1–10 |
25. |
S. I. Bogataya, S. A. Bogatyi, E. A. Kudryavtseva, “An inverse theorem on ‘economic’ maps”, Sb. Math., 203:4 (2012), 554–568 |
26. |
E. A. Kudryavtseva, “Special framed Morse functions on surfaces”, Moscow Univ. Math. Bull., 67:4 (2012), 151–157 |
27. |
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 |
28. |
E. A. Kudryavtseva, “The Topology of Spaces of Morse Functions on Surfaces”, Math. Notes, 92:2 (2012), 219–236 |
29. |
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 |
30. |
E. A. Kudryavtseva, A. T. Fomenko, “Symmetries groups of nice Morse functions on surfaces”, Doklady Mathematics, 86:2 (2012), 691–693 |
31. |
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 |
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2011 |
32. |
E. A. Kudryavtseva, T. A. Lepskii, “The topology of Lagrangian foliations of integrable systems with hyperelliptic Hamiltonian”, Sb. Math., 202:3 (2011), 373–411 |
33. |
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 |
34. |
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 |
35. |
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 |
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2010 |
36. |
E. A. Kudryavtseva, D. A. Permyakov, “Framed Morse functions on surfaces”, Sb. Math., 201:4 (2010), 501–567 |
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2009 |
37. |
E. A. Kudryavtseva, “Uniform Morse lemma and isotope Morse functions on surfaces”, Moscow Univ. Math. Bull., 64:4 (2009), 150–158 |
38. |
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) |
39. |
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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2008 |
40. |
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 |
41. |
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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42. |
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 |
43. |
E. A. Kudryavtseva, K. Varadarajan, P. Zvengrowski, “Stable inverses of vector bundles and $K$-theory”, JP J. Geom. Top., 8:2 (2008), 129–150 |
44. |
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 |
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2006 |
45. |
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 |
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2005 |
46. |
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 |
47. |
E. A. Kudryavtseva, F. Saidak, P. Zvengrowski, “Riemann and his zeta function”, Morfismos, 9:2 (2005), 1–48 |
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2004 |
48. |
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 |
49. |
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 |
50. |
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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51. |
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 |
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2003 |
52. |
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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53. |
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 |
54. |
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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2002 |
55. |
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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2001 |
56. |
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 |
57. |
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 |
58. |
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 |
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1999 |
59. |
E. A. Kudryavtseva, “Realization of smooth functions on surfaces as height functions”, Sb. Math., 190:3 (1999), 349–405 |
60. |
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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61. |
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 |
62. |
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 |
63. |
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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1998 |
64. |
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 |
65. |
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 |
66. |
E. A. Kudryavtseva, “Stable conjugation invariants of Hamiltonian systems on two-dimensional surfaces”, Soviet Math. Dokl., 58:1 (1998), 67–70 |
67. |
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 |
68. |
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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69. |
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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1997 |
70. |
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 |
71. |
M. L. Gerver, E. A. Kudryavtseva, “A universal sequence in the classical travel-time inversion problem”, Sb. Math., 188:4 (1997), 483–536 |
72. |
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 |
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1996 |
73. |
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 |
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1995 |
74. |
M. L. Gerver, E. A. Kudryavtseva, “A theorem on order relations generated by totally positive kernels”, Sb. Math., 186:9 (1995), 1241–1269 |
75. |
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) |
76. |
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) |
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1994 |
77. |
M. L. Gerver, E. A. Kudryavtseva, “Klassifikatsiya perestanovok uslovno skhodyaschikhsya ryadov”, Shestaya letnyaya konferentsiya turnira gorodov, ITsTG, M., 1994, 20–25, 57–65 |
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