Publications of Sergey Maksymenko

Ph. D.

"Morse mappings of surfaces" (1999)

Doctoral dissertation

"Deformations along orbits of flows and their applications" (2011)

Book

Recent preprints

Articles

  1. Local inverses of shift maps along orbits of flows
    Osaka Journal of Mathematics, vol 48, no. 2 (2011) 415-455 http://xxx.lanl.gov/abs/0806.1502 paper on Project Euclid cite

  2. Image of a shift map along the orbits of a flow
    Indiana University Mathematics Journal, vol. 59, no. 5, (2010), 1587-1628 http://xxx.lanl.gov/abs/0902.2418 

  3. Functions with isolated singularities on surfaces
    In Proceeding of Institue of Mathematics of NAS of Ukraine "Geometry and topology on manifolds", vol 7, no. 4, (2010) 7-66. http://xxx.lanl.gov/abs/0806.4704

  4. Deformations of circle-valued Morse functions on surfaces
    Ukrainian Mathematical Journal, vol. 62, no. 10, (2010) 1360-1366. http://xxx.lanl.gov/abs/1006.1708

  5. Period functions for C0 and C1 flows
    Ukrainian Mathematical Journal, vol. 62, no. 7, (2010) 954-967. http://xxx.lanl.gov/abs/0910.2995

  6. Kernel of a map of a shift along the orbits of continuous flows
    Ukrainian Mathematical Journal, vol. 62, no. 5, (2010) 651-659. http://xxx.lanl.gov/abs/0910.2995

  7. Symmetries of center singularities of plane vector fields
    Nonlinear Oscilations, vol. 13, no. 2, (2010) 177-205. http://xxx.lanl.gov/abs/0907.0359

  8. Functions on surfaces and incompressible subsurfaces
    Methods of Functional Analysis and Topology, vol. 16, no. 2, (2010) 167-182. http://xxx.lanl.gov/abs/1001.1346 Paper on MFAT's cite

  9. Symmetries of degenerate center singularities of plane vector fields
    Nonlinear Oscilations, vol. 12, no. 4, (2009) 507-526, http://xxx.lanl.gov/abs/0907.0737

  10. Functions with homogeneous singularities on surfaces
    Reports of NAS of Ukraine, vol. 8, (2009), 20-23, in Ukrainian

  11. Reparametrizations of vector fields and their shift maps
    Proceedings of Intsitute of Mathematics of Ukrainian NAS, vol. 6, no. 2 (2009) 489-498. http://xxx.lanl.gov/abs/0907.0354

  12. Connected components of partition preserving diffeomorphisms
    Methods of Functional Analysis and Topology, (2009), vol. 15, no. 3, 264-279. http://xxx.lanl.gov/abs/0806.0159Paper on MFAT's cite

  13. ∞-jets of diffeomorphisms preserving orbits of vector fields
    Central European Journal of Mathematics, (2009) vol. 7, no. 2, 272-298. http://xxx.lanl.gov/abs/0708.0737, PDF

  14. Homotopy dimension of orbits of Morse functions on surfaces
    Travaux Mathematiques, (2008) vol. 18, 39-44, http://xxx.lanl.gov/abs/0710.4437, PDF Paper in TM

  15. Hamiltonian vector fields of homogeneous polynomials in two variables
    Topological problems and relative questions. Proceedings of Intsitute of Mathematics of Ukrainian NAS, (2006) vol. 3, no. 3, 269-308.http://xxx.lanl.gov/abs/math/0709.2511, In ukrainian, In english

  16. Consecutive shifts along orbits of vector fields
    Proceedings of the Conference "Foliations-2005", (Ploand, Lodz, 2005), World Scientific, Singapore, 2006, 327-340 http://xxx.lanl.gov/abs/math/0510625, PS

  17. Stabilizers and orbits of smooth functions
    Bulletin des Sciences Mathematiques, 130 (2006) 279-311,http://xxx.lanl.gov/abs/math/0411612, PS
    Translation in russian Preprint 2005.6, Institute of Mathematics NAS of Ukraine.

  18. Homotopy types of stabilizers and orbits of Morse functions on surfaces
    Annals of Global Analysis and Geometry, 29 no. 3, (2006) 241-285, http://xxx.lanl.gov/abs/math/0310067,PS-file in Zip archive

  19. Path components of Morse mapping spaces of surfaces
    Commentarii mathematici Helvetici, 80 (2005) 655-690 http://xxx.lanl.gov/abs/math/9910085, PS

  20. Sections of Lie groups actions and M. Newman theorem
    "Fundamental mathematics today" Proceedings dedicated to the 10th Anniversary of the Independent Moscow University, 2003, pp.246-258 (in Russian). DVI, Translation to english (PDF)

  21. Smooth shifts along trajectories of flows.
    Topology and its Applications 130 (2003) 183-204 http://xxx.lanl.gov/abs/math/0106199, PDF

  22. with Pankov M.A., Polulyah E.A. Representations of compact subsets of Rn.
    Topology and its Applications 119 (2002) 33-39, DVI

  23. A new proof of classification theorem on components of Morse map space of surfaces.
    Proceedings of International Conference "Low-dimensional topology and combinatorial group theory", Chelyabinsk, August, 1999. Kiev, 2000, pp. 186-198.

  24. Classification of $m$-functions on surfaces.
    Ukr. Math. J., 1999, vol. 51, N 8, pp. 1129-1135. (in Russian)

  25. Path-components of Morse mappings space.
    Some problems of contemporary mathematics. Proceedings of Intsitute of Mathematics of Ukrainian NAS, 1998, vol. 25, pp. 135-153 (in Russian) http://xxx.lanl.gov/abs/math/9906031, PDF, GZIPed PS

  26. Equivalence of m-functions on surfaces.
    Some problems of contemporary mathematics. Proceedings of Intsitute of Mathematics of Ukrainian NAS, 1998, vol. 25, pp. 128-134 (in Ukrainian)

  27. On J. Whitehead conjecture.
    Some problems of contemporary mathematics. Proceedings of Intsitute of Mathematics of Ukrainian NAS, 1998, vol. 25, pp. 118-127 (in Russian)

  28. On topological spaces with p2=0.
    Ukr. Math. J., 1998, vol.50, N 8, pp. 1144-1146. (in Ukrainian)

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