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List of Publications
Elena A. Kudryavtseva July 2011 1. Gerver, M. L. and Kudryavtseva, E. A. (1995): A theorem on precedence relations generated by completely positive kernels. Matem. Sbornik 186 (N. 9), 19-44 (in Russian). Transl. Sbornik Mathematics 186 (N. 9), 1241-1269. 2. Gerver, M. L. and Kudryavtseva, E. A. (1996): On the solution set boundary in the travel-time inversion problem. Dokl. Russian Acad. Sci. Earth Sci. Sect. 346 (No. 5), 672-674 (in Russian). Transl. Dokl. Russian Acad. Sci. Earth Sci. Sect. 347 (N.2), 262-264. 3. Gerver, M. L. and Kudryavtseva, E. A. (1997): On extremal properties of waveguides with a finite number of layers in the hodograph inversion problem. Dokl. Russian Acad. Sci. Earth Sci. Sect. 356 (N. 1), 25-28 (in Russian). 4. Gerver, M. L. and Kudryavtseva, E. A. (1997): Universal sequence in the classical hodograph inversion problem. Matem. Sbornik 188 (N. 4), 3-56 (in Russian). Transl. Sbornik Mathematics 188 (N. 4), 483-536. 5. Gerver, M. L. and Kudryavtseva, E. A. (1997): A new proof of theorems on a universal sequence and extremal properties of discrete measures. Uspekhi Matem. Nauk 52, N. 6(318), 153-154 (in Russian). Transl. Russian Math. Surveys 52, no. 6, 12981299. 6. Gerver, M. L. and Kudryavtseva, E. A. (1998): Extremal properties of discrete measures, a universal sequence and the duality principle. Mat. Sbornik 189 (N. 11), 3-26 (in Russian). Transl. Sb. Math. 189 (no. 11-12), 15871610. 7. Gerver, M. L. and Kudryavtseva, E. A. (1998): On extremal properties of discrete measures and the duality principle. Dokl. Russian Acad. Sci. Earth Sci. Sect. 363 (No. 5), 586-589 (in Russian). 8. Kudryavtseva, E. A. (1998): Generalization of geometric Poincarґ theorem for e small perturbations. Regular and Chaotic Dynamics 3 (No. 2), 46-66. 9. Kudryavtseva, E. A. (1998): Stable invariants of conjugacy of Hamiltonian systems on two-dimensional surfaces. Dokl. Acad. Nauk 361 (N. 3), 314-317 (in Russian). 10. Kudryavtseva, E. A. (1998): Stable topological and smooth invariants for conjugacy of Hamiltonian systems on surfaces. In: Topological methods in theory of Hamiltonian systems. Eds. Fomenko, A.T. and Bolsinov, A.V. (Moscow: Factorial), 147-202 (in Russian). 11. Brailov, Yu. A. and Kudryavtseva, E. A. (1999): Stable topological nonconjugacy of Hamiltonian systems on two-dimensional surfaces. Vestnik Moskov. Univ. Ser. I Mat. Mekh. No. 2, 20-27, 72 (in Russian). Transl. Moscow Univ. Math. Bull. 54 (no. 2), 20-27. 12. Kudryavtseva, E. A. (1999): Realization of smooth functions on surfaces as height functions. Matem. Sbornik 190 (No. 3), 29-88 (in Russian). Transl. Sbornik Mathematics 190 (No. 3-4), 349-405.

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13. Kudryavtseva, E. A. (1999): Periodic motions of a planetary system with double planets. The generalized Hill problem. Vestnik Moskov. Univ. Ser. I Mat. Mekh. No. 4, 59-61 (in Russian). Transl. Moscow Univ. Math. Bull. 54 (no. 4), 39-41. 14. Kudryavtseva, E. A. (1999): Reduction of Morse functions on surfaces to canonical form by smooth deformation. Regular and Chaotic Dynamics 4 (No. 3), 53-60. 15. Kudryavtseva, E. A. (1999): Canonical form of Reeb graph for Morse functions on surfaces. Inversion of 2-sphere in 3-space. International Journal of Shape Modeling 5 (No.1), 69-80. 16. Hayat-Legrand, C., Kudryavtseva, E., Wang, S., and Zieschang, H. (2001): Degrees of self-mappings of Seifert manifolds with finite fundamental groups. Dedicated to the memory of Marco Reni. Rendiconti Istit. Mat. Univ. Trieste Supp. 32, 131-147. 17. Gonё calves, D.L., Kudryavtseva, E., and Zieschang, H. (2001): Intersection index of curves on surfaces and applications to quadratic equations in free groups. Dedicated to the memory of Professor M. Pezzana (Italian). Atti Sem. Mat. Fis. Univ. Modena, Supp. IL, 339-400. 18. Gonё calves, D.L., Kudryavtseva, E., and Zieschang, H. (2002): Roots of mappings on nonorientable surfaces and equations in free groups. Manuscripta math. 107 (no. 3), 311-341. 19. Kudryavtseva, E., Weidmann, R., and Zieschang, H. (2003): Quadratic equations in free groups and topological applications. Proceedings of the GermanKorean Workshop, Pusan 2000. In: Group theory and low-dimensional topology. Eds. Mennike, J. and Jung Rae Cho. Research and exposition in mathematics 27, 83-122. 20. Bogatyi, S., Gonё calves, D.L., Kudryavtseva, E., and Zieschang, H. (2003): On the Wecken property for the root problem of mappings between surfaces. Moscow Math. J. 3 (no. 4), 1223-1245. 21. Bogatyi, S., Gonё calves, D.L., Kudryavtseva, E., and Zieschang, H. (2003): Construction of branched coverings over closed surfaces following the Hurwitz approach. Central Europ. J. of Math. 2, 184-197. 22. Bogatyi, S., Gonё calves, D.L., Kudryavtseva, E., and Zieschang, H. (2003): Minimal number of preimages under mappings between surfaces. Matem. Zametki (in Russian) 75, 13-19. 23. Bogopolski, O., Kudryavtseva, E., and Zieschang, H. (2004): Simple curves on surfaces and an analog of a theorem of Magnus for surface groups. Math. Z. 247 (No. 3), 595-609. 24. Bogatyi, S., Gonё calves, D.L., Kudryavtseva, E., and Zieschang, H. (2004): Realization of primitive branched coverings over closed surfaces. In: Advances in Topological Quantum Field Theory. Ed. Bryden, J.M. (Kluwer Academic Publishers), 297-316. 25. Bogatyi, S.A., Kudryavtseva, E.A., and Zieschang, H. (2004): On coincidence points of mappings of the torus into a surface. Proc. Moscow Math. Inst. Steklov 247, 15-34. 2

26. Gonё calves, D.L., Kudryavtseva, E., and Zieschang, H. (2005): An algorithm for minimal number of intersection points of curves on surfaces. Proc. Seminar on Vector and Tensor Analysis 26, 139-167. 27. Kudryavtseva, E.A., Saidak, F., and Zvengrowski, P. (2005): Riemann and his zeta function. Morfismos 9, no. 2, 1-48. 28. Kudryavtseva, E.A. and Lakshtanov, E.L. (2006): Classification of singularities and bifurcations of critical points of even functions. In: Topological Methods in the Theory of Integrable Systems. Eds. Bolsinov, A.V., Fomenko, A.T., and Oshemkov, A.A.; Cambridge Scientific Publishers, Springer, 173-214. 29. Bogatyi, S.A., Fricke, J., and Kudryavtseva, E.A. (2008): On multiplicity of mappings between surfaces. Boileau, Michel (ed.) et al., The Zieschang Gedenkschrift. Coventry: Geometry & Topology Publications. Geometry and Topology Monographs 14, 49-62. 30. Gonё calves, D.L., Kudryavtseva, E., and Zieschang, H. (2008): Some quadratic equations in the free group of rank 2. Boileau, Michel (ed.) et al., The Zieschang Gedenkschrift. Coventry: Geometry & Topology Publications. Geometry and Topology Monographs 14, 219-294. 31. Kudryavtseva, E.A., Nikonov, I.M., and Fomenko, A.T. (2008): Maximally symmetric cell decompositions of surfaces and their coverings. Matem. Sbornik 199 (N. 9), 3-96 (in Russian). Transl. Sbornik Mathematics 199 (N. 9), 12631359. 32. Kudryavtseva E.A., Varadarajan K., Zvengrowski P. (2008): Stable inverses of vector bundles and K -theory. JP J. Geom. Top. 8 (N. 2), 129-150. 33. Kudryavtseva, E.A. (2009): Uniform Morse lemma and isotopy criterion for Morse functions on surfaces. Vestnik Moskov. Univ. Ser. I Mat. Mekh. No. 4, 13-22 (in Russian). Transl. Moscow Univ. Math. Bull. 64 (no. 4), 12-20. 34. Andrica D., Funar L. and Kudryavtseva E.A. (2009): On the minimal number of critical points of smooth maps between closed manifolds. Russian Journal of Mathematical Physics 16 (N. 3), 401-410. 35. Kudryavtseva, E.A., Nikonov, I.M., and Fomenko, A.T. (2009): Symmetric and irreducible abstract polyhedra. Contemporary Problems of Mathematics and Mechanics, V.A.Sadovnichiy Anniv. Coll. Articles, Vol. III, N. 2, 58-97. 36. Kudryavtseva, E.A. and Permyakov, D.A. (2010): Framed Morse functions on surfaces. Matem. Sbornik 201 (N. 4), 33-98 (in Russian). Transl. Sbornik Mathematics 201 (N. 4), 501-567. 37. Kudryavtseva, E.A. and Lepskiy, T.A. (2011): Topology of Lagrangian foliations of integrable systems with hyperelliptic Hamiltonians. Matem. Sbornik. 202 (N. 3), 69-106 (in Russian), Transl. Sbornik Mathematics 202 (N. 3), 373-411. 38. Kudryavtseva, E.A. and Lepskiy, T.A. (2011): Topology of foliation and the Liouville theorem for integrable systems with incomplete flows. Sbornik Trudov Sem. Vekt. Tenz. Analizu (in Russian), 43 p., to appear. 39. Kudryavtseva, E.A. and Lepskiy, T.A. (2011): Integrable Hamiltonian systems with incomplete flows and Newton's polygons. Sbornik Trudov Konfer. Metrich. Geom. Poverhn. i Mnogogr. (in Russian), 20 p., to appear. arXiv:1107.1911v1 3

40. Kudryavtseva, E.A. (2011): Connected components of spaces of Morse functions with fixed critical points. Vestnik Moskov. Univ. Ser. I Mat. Mekh., 12 p. To appear. arXiv:1007.4398. 41. Bogataya S.I., Bogatyi S.A., and Kudryavtseva E.A. (2011): The inverse of a theorem on "economical" mappings. Matem. Sbornik, 14 p. To appear. 42. Zagryadskii O.A., Kudryavtseva E.A., and Fedoseev D.A. (2011): The generalization of a problem of Bertrand to surfaces of revolution. Matem. Sbornik, 38 p. To appear. 43. Kudryavtseva, E.A. (2012): Special framed Morse functions on surfaces. Vestnik Moskov. Univ. Ser. I Mat. Mekh., 8 p. To appear. arXiv:1106.3116v1

Published pap ers in Pro ceedings of Conferences 44. Gerver, M. L. and Kudryavtseva, E. A. (1994): Classification of permutations of converging series. In book: Tournir of Towns VII Summer Conference, Moscow: ITG, 20-25, 57-65 (in Russian). 45. Gerver, M. L. and Kudryavtseva, E. A. (1995): 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, p. B10 (UB31B-7). 46. Kudryavtseva, E. A. and Gerver, M. L. (1995): An Algorithm Yielding the Universal Sequence U in travel Time Inversion. IUGG XXI General Assembly. Abstracts. Week B. Boulder, Colorado, July 2-14, 1995, p. B11 (UB31B-13). 47. Kudryavtseva, E. A. and Nekhoroshev, N. N. (1998): Periodic orbits, servived after the deconstruction of families of such orbits under the perturbation of systems of ordinary differential equations. Theses. I.G.Petrovskii' seminar and Moscow Math. Soc. mutual XIX Assembly, Moscow, Jan. 20-24, 1998. Uspekhi mat. nauk 53 (No. 4), 206-207 (in Russian). 48. Kudryavtseva E.A. (2001): 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. Pterovskii. 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. P. 221-222. 49. Kudryavtseva E.A., Nikonov I.M., Fomenko A.T. (2008): Maximally symmetric cell decompositions of surfaces and their coverings. International conference "Differential equations and topology" dedicated to the 100th anniversary of Lev Semenovich Pontryagin. Theses of talks. Moscow, June 17-22, 2008. V.A.Steklov Mathematical Institute RAS, M.V.Lomonosov Moscow State University. P. 471. 50. Kudryavtseva E.A. (2011): On the topology of the spaces of Morse functions on surfaces. International conference "Differential equations and related topics" dedicated to Ivan G. Pterovskii. XXIII joint session of Petrovskii Seminar and Moscow Math. Soc. Book of abstracts. Moscow, May 30 - June 4, 2011. Moscow M.V.Lomonosov State University, V.A.Steklov Mathematical Institute RAS. P. 69-71. 4