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Lazutkin, Vladimir Fedorovich
(1941–2001)
Statistics Math-Net.Ru
Total publications: 28
Scientific articles: 28

Number of views:
This page:3048
Abstract pages:8565
Full texts:3369
References:503
Doctor of physico-mathematical sciences (1977)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
   
Main publications:
  • Vypuklyi billiard i sobstvennye funktsii operatora Laplasa / V. F. Lazutkin. - Leningrad : Izd-vo LGU, 1981. - 196 s.

https://www.mathnet.ru/eng/person9246
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/213341
https://elibrary.ru/author_items.asp?authorid=3530

Publications in Math-Net.Ru Citations
2003
1. V. F. Lazutkin, “Splitting of separatrices for the Chirikov standard map”, Zap. Nauchn. Sem. POMI, 300 (2003),  25–55  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 128:2 (2005), 2687–2705 23
2001
2. V. G. Gelfreich, V. F. Lazutkin, “Splitting of separatrices: perturbation theory and exponential smallness”, Uspekhi Mat. Nauk, 56:3(339) (2001),  79–142  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 56:3 (2001), 499–558  isi  scopus 64
2000
3. N. N. Igotti, V. F. Lazutkin, “Existence of Complex Homoclinic Points”, Regul. Chaotic Dyn., 5:4 (2000),  383–400  mathnet  mathscinet  zmath 1
1999
4. V. F. Lazutkin, “Making Fractals Fat”, Regul. Chaotic Dyn., 4:1 (1999),  51–69  mathnet  mathscinet  zmath 8
1997
5. A. Giorgilli, V. F. Lazutkin, C. Simó, “Visualization of a hyperbolic structure in area preserving maps”, Regul. Chaotic Dyn., 2:3-4 (1997),  47–61  mathnet  mathscinet  zmath 1
6. V. F. Lazutkin, “Interfering Combs and a Multiple Horseshoe”, Regul. Chaotic Dyn., 2:2 (1997),  3–13  mathnet  mathscinet  zmath 1
1992
7. V. F. Lazutkin, “An analytic integral along the separatrix of the semistandard map:existence and an exponential estimate for the distance between the stable and unstable separatrices”, Algebra i Analiz, 4:4 (1992),  110–142  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:4 (1993), 721–748 12
1990
8. V. F. Lazutkin, “The width of the instability zone around separatrices of a standard mapping”, Dokl. Akad. Nauk SSSR, 313:2 (1990),  268–272  mathnet  mathscinet  zmath; Dokl. Math., 42:1 (1991), 5–9 4
1989
9. V. F. Lazutkin, “Analytic integrals of a semistandard mapping, and separatrix splitting”, Algebra i Analiz, 1:2 (1989),  116–131  mathnet  mathscinet  zmath; Leningrad Math. J., 1:2 (1990), 427–445 4
1988
10. V. F. Lazutkin, “Splitting of complex separatrices”, Funktsional. Anal. i Prilozhen., 22:2 (1988),  83–84  mathnet  mathscinet  zmath; Funct. Anal. Appl., 22:2 (1988), 154–156  isi 10
11. V. F. Lazutkin, “Quasiclassical asymptotic behavior of eigenfunctions”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 34 (1988),  135–174  mathnet  mathscinet  zmath 9
12. V. F. Lazutkin, “Signature of invertible symmetric matrices”, Mat. Zametki, 44:2 (1988),  202–207  mathnet  mathscinet  zmath; Math. Notes, 44:2 (1988), 592–595  isi 3
1981
13. V. F. Lazutkin, “Diffraction losses in open resonators. A geometric approach”, Dokl. Akad. Nauk SSSR, 258:5 (1981),  1089–1092  mathnet 1
14. V. F. Lazutkin, D. Ya. Terman, “Estimation of the remainder in the Weyl formula”, Funktsional. Anal. i Prilozhen., 15:4 (1981),  81–82  mathnet  mathscinet  zmath; Funct. Anal. Appl., 15:4 (1981), 299–300  isi 5
15. V. F. Lazutkin, D. Ya. Terman, “On the number of quasimodes of the “bouncing ball” type”, Zap. Nauchn. Sem. LOMI, 117 (1981),  172–182  mathnet  mathscinet  zmath 1
1979
16. V. F. Lazutkin, “An estimate of the length of the gaps in the spectrum of the Laplace operator for a plane convex domain”, Dokl. Akad. Nauk SSSR, 245:1 (1979),  20–23  mathnet  mathscinet  zmath 1
1975
17. V. F. Lazutkin, T. F. Pankratova, “Normal forms and versal deformations for Hill's equation”, Funktsional. Anal. i Prilozhen., 9:4 (1975),  41–48  mathnet  mathscinet  zmath; Funct. Anal. Appl., 9:4 (1975), 306–311 39
18. V. F. Lazutkin, Yu. A. Hodkov, “A contrexample to the Arnold's hypothesis on eigenvibrations of the membrane”, Zap. Nauchn. Sem. LOMI, 51 (1975),  134–137  mathnet  mathscinet  zmath 1
1974
19. V. F. Lazutkin, T. F. Pankratova, “Asymptotics of the width of gaps in the spectrum of the Sturm–Liouville operator with a periodic potential”, Dokl. Akad. Nauk SSSR, 215:5 (1974),  1048–1051  mathnet  mathscinet  zmath 5
1973
20. M. M. Dvorin, V. F. Lazutkin, “The existence of an infinite number of elliptic and hyperbolic periodic trajectories for a convex billiard”, Funktsional. Anal. i Prilozhen., 7:2 (1973),  20–27  mathnet  mathscinet  zmath; Funct. Anal. Appl., 7:2 (1973), 103–109 5
21. V. F. Lazutkin, “Asymptotics of the eigenvalues of the Laplacian and quasimodes. A series of quasimodes corresponding to a system of caustics close to the boundary of the domain”, Izv. Akad. Nauk SSSR Ser. Mat., 37:2 (1973),  437–465  mathnet  mathscinet  zmath; Math. USSR-Izv., 7:2 (1973), 439–466 12
22. V. F. Lazutkin, “The existence of caustics for a billiard problem in a convex domain”, Izv. Akad. Nauk SSSR Ser. Mat., 37:1 (1973),  186–216  mathnet  mathscinet  zmath; Math. USSR-Izv., 7:1 (1973), 185–214 110
1972
23. V. F. Lazutkin, “Existence of a continuum of closed invariant curves for a convex billiard”, Uspekhi Mat. Nauk, 27:3(165) (1972),  201–202  mathnet  mathscinet  zmath 4
24. V. F. Lazutkin, N. V. Svanidze, “On that how the general ellipcity property of ray sistems for two mirror resonators is connected with their spectra”, Zap. Nauchn. Sem. LOMI, 25 (1972),  111–115  mathnet 1
1971
25. V. F. Lazutkin, “On the asymptotics of the eigenfunctions of the Laplacian”, Dokl. Akad. Nauk SSSR, 200:6 (1971),  1277–1279  mathnet  mathscinet  zmath 3
1970
26. V. F. Lazutkin, “Eigenfunctions with a given caustic”, Zh. Vychisl. Mat. Mat. Fiz., 10:2 (1970),  362–373  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 10:2 (1970), 105–120 1
1968
27. V. F. Lazutkin, “Construction of an asymptotic series for eigenfunctions of the “bouncing ball” type”, Trudy Mat. Inst. Steklov., 95 (1968),  106–118  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 95 (1968), 125–140 2
1967
28. V. F. Lazutkin, “The asymptotics of the eigenfunctions of the Laplace operator, concentrated near the boundary of a region”, Zh. Vychisl. Mat. Mat. Fiz., 7:6 (1967),  1237–1249  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 7:6 (1967), 37–52 4

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