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Pustyl'nikov, Lev Davidovich
Statistics Math-Net.Ru
Total publications: 93
Scientific articles: 93

Number of views:
This page:1397
Abstract pages:25183
Full texts:11885
References:3126
Doctor of physico-mathematical sciences (1992)
Birth date: 04.09.1946
E-mail:
Website: http://www.keldysh.ru/departments/dpt_25/pustld.html

https://www.mathnet.ru/eng/person8641
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/198148

Publications in Math-Net.Ru Citations
2015
1. L. D. Pustyl'nikov, “On the quantum chaos conjecture and generalized continued fractions”, Keldysh Institute preprints, 2015, 037, 12 pp.  mathnet
2014
2. L. D. Pustyl'nikov, “Energy Levels of Quantum Periodic Systems and Quantum Chaos”, Keldysh Institute preprints, 2014, 027, 8 pp.  mathnet
3. L. D. Pustyl'nikov, M. V. Deryabin, “Nonequilibrium gas, entropy and generalized billiards”, Keldysh Institute preprints, 2014, 003, 10 pp.  mathnet
2013
4. L. D. Pustyl'nikov, M. V. Deryabin, “Black holes and generalized relativistic billiards”, Keldysh Institute preprints, 2013, 054, 36 pp.  mathnet 1
2012
5. L. D. Pustyl’nikov, “Fast prediction of quasistationary processes”, Keldysh Institute preprints, 2012, 028, 15 pp.  mathnet
6. L. D. Pustyl’nikov, “On the classical Riemann zeta-function”, Keldysh Institute preprints, 2012, 027, 17 pp.  mathnet
2011
7. L. D. Pustyl’nikov, T. V. Lokot', “Fast computations associated with Toeplitz and Hankel matrices and tensors”, Keldysh Institute preprints, 2011, 059, 23 pp.  mathnet
8. L. D. Pustyl’nikov, “Quasistationary processes and their prediction”, Keldysh Institute preprints, 2011, 058, 14 pp.  mathnet 1
2010
9. L. D. Pustyl’nikov, T. V. Lokot', “Algebraic structures related to Toeplitz and Hankel matrices and tensors”, Keldysh Institute preprints, 2010, 060, 26 pp.  mathnet 4
10. L. D. Pustyl’nikov, “A new necessary condition for the validity of the Riemann hypothesis”, Keldysh Institute preprints, 2010, 054, 8 pp.  mathnet
2009
11. L. D. Pustyl'nikov, T. V. Lokot', “Discrete rotations and generalized continued fractions”, Keldysh Institute preprints, 2009, 044, 7 pp.  mathnet
12. L. D. Pustyl'nikov, “On the connection of the Riemann problem with properties of a dynamical system”, Keldysh Institute preprints, 2009, 043, 7 pp.  mathnet 1
2008
13. L. D. Pustyl'nikov, “On the Riemann hypothesis for approximate zeta-function”, Keldysh Institute preprints, 2008, 070, 6 pp.  mathnet 2
14. L. D. Pustyl'nikov, T. V. Lokot', “New results on the Dirichlet $L$-functions”, Keldysh Institute preprints, 2008, 069, 10 pp.  mathnet
2007
15. L. D. Pustyl’nikov, “An asymptotic formula for the derivatives of the function $\xi(s,\chi)$”, Keldysh Institute preprints, 2007, 044, 12 pp.  mathnet 1
16. L. D. Pustyl'nikov, T. V. Lokot', “An asymptotic formula for the derivatives of a function Taylor”, Keldysh Institute preprints, 2007, 043, 14 pp.  mathnet
2006
17. L. D. Pustyl'nikov, “Some properties of Dirichlet $L$-functions associated with their nontrivial zeros”, Keldysh Institute preprints, 2006, 069  mathnet 1
18. L. D. Pustyl'nikov, V. A. Malyshev, “One-dimensional model of crystal extension”, Keldysh Institute preprints, 2006, 068  mathnet
2005
19. L. D. Pustyl'nikov, “Nonequilibrium gas and generalized billiards”, Keldysh Institute preprints, 2005, 050  mathnet
20. L. D. Pustyl’nikov, “Classification of ideals of algebras of real matrices and its applications in the number theory”, Keldysh Institute preprints, 2005, 018  mathnet
21. L. D. Pustyl'nikov, “Ãåîìåòðè÷åñêàÿ çàäà÷à, ñâÿçàííàÿ ñ îáîáùåííûìè áèëëèàðäàìè”, Mat. Pros., Ser. 3, 9 (2005),  86–92  mathnet
22. L. D. Pustyl'nikov, “Generalized Newtonian periodic billiards in a ball”, Uspekhi Mat. Nauk, 60:2(362) (2005),  171–172  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 60:2 (2005), 365–366  isi  elib  scopus 1
2004
23. L. D. Pustyl’nikov, “On a geometrical problem connected with generalized billiards”, Keldysh Institute preprints, 2004, 012, 21 pp.  mathnet
24. L. D. Pustyl’nikov, “On the representation of Riemann zeta-function in the critical strip over an infinite product of second-order matrics and on a dynamical system”, Keldysh Institute preprints, 2004, 005, 11 pp.  mathnet
25. L. D. Pustyl'nikov, “Äèíàìè÷åñêèå ñèñòåìû ñ óïðóãèìè îòðàæåíèÿìè è ìåõàíèçì óñêîðåíèÿ Ôåðìè”, Mat. Pros., Ser. 3, 8 (2004),  164–180  mathnet
26. L. D. Pustyl'nikov, “A representation of the Riemann zeta-function in the critical strip by means of an infinite product of matrices of order two, and a certain dynamical system”, Uspekhi Mat. Nauk, 59:4(358) (2004),  197–198  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 59:4 (2004), 796–797  isi  scopus 1
2003
27. L. D. Pustyl’nikov, “Oscillatory motions and stability problem of solutions to Hamiltonian systems with many degrees of freedom”, Keldysh Institute preprints, 2003, 005, 29 pp.  mathnet
28. M. V. Deryabin, L. D. Pustyl'nikov, “Generalized relativistic billiards”, Regul. Chaotic Dyn., 8:3 (2003),  283–296  mathnet  mathscinet  zmath 8
29. L. D. Pustyl'nikov, “Refutation of an analogue of the Riemann hypothesis about zeros for an arbitrarily sharp approximation of the zeta-function satisfying the same functional equation”, Uspekhi Mat. Nauk, 58:1(349) (2003),  175–176  mathnet  mathscinet  zmath; Russian Math. Surveys, 58:1 (2003), 193–194  isi  scopus 6
30. L. D. Pustyl'nikov, “Generalized continued fractions and ergodic theory”, Uspekhi Mat. Nauk, 58:1(349) (2003),  113–164  mathnet  mathscinet  zmath; Russian Math. Surveys, 58:1 (2003), 109–159  isi  scopus 7
31. L. D. Pustyl'nikov, “The quantum chaos conjecture and generalized continued fractions”, Mat. Sb., 194:4 (2003),  107–118  mathnet  mathscinet  zmath; Sb. Math., 194:4 (2003), 575–587  isi  scopus 3
2002
32. L. D. Pustyl'nikov, “Singularities and bifurcations of wave front of an ellipse”, Keldysh Institute preprints, 2002, 033  mathnet
33. L. D. Pustyl'nikov, “The quantum chaos conjecture and generalized continued fractions”, Keldysh Institute preprints, 2002, 003, 17 pp.  mathnet
34. L. D. Pustyl'nikov, “Generalized continued fractions associated with the Gauss transform”, Uspekhi Mat. Nauk, 57:5(347) (2002),  159–160  mathnet  mathscinet  zmath; Russian Math. Surveys, 57:5 (2002), 1005–1006  isi  scopus 1
35. L. D. Pustyl'nikov, “Proof of the quantum chaos conjecture and generalised continued fractions”, Uspekhi Mat. Nauk, 57:1(343) (2002),  161–162  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 57:1 (2002), 159–160  isi  scopus 3
36. L. D. Pustyl'nikov, “Space-Time Chaos, Critical Phenomena, and Bifurcations of Solutions of Infinite-Dimensional Systems of Ordinary Differential Equations”, TMF, 133:1 (2002),  36–53  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 133:1 (2002), 1348–1362  isi
37. L. D. Pustyl'nikov, “Discrete wave equations with random parameters and a discrete string with random masses”, Teor. Veroyatnost. i Primenen., 47:2 (2002),  255–269  mathnet  mathscinet  zmath; Theory Probab. Appl., 47:2 (2003), 257–268  isi
2001
38. L. D. Pustyl'nikov, “An asymptotic formula for the Taylor coefficients of the function $\xi(s)$”, Izv. RAN. Ser. Mat., 65:1 (2001),  93–106  mathnet  mathscinet  zmath; Izv. Math., 65:1 (2001), 85–98  scopus 8
39. L. D. Pustyl’nikov, “The spatially-temporal chaos and the theory of infinite-dimensional systems of ordinary differential equations originating in some physical problems”, Keldysh Institute preprints, 2001, 044  mathnet
40. L. D. Pustyl’nikov, “Critical phenomena and bifurcations of solutions of infinite-dimensional systems of ordinary differential equations originating in some physical problems”, Keldysh Institute preprints, 2001, 043  mathnet
41. L. D. Pustyl’nikov, “Infinite-dimensional generalized continued fractions, sums of Legendre symbols and distribution of quadratic residues and non-residues”, Keldysh Institute preprints, 2001, 002  mathnet
42. L. D. Pustyl'nikov, “On analytic properties of an ellipse connected with singularities of its wave front”, Uspekhi Mat. Nauk, 56:5(341) (2001),  185–186  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:5 (2001), 984–985  isi
43. L. D. Pustyl'nikov, “Probability and ergodic laws in the distribution of the fractional parts of the values of polynomials”, Mat. Sb., 192:2 (2001),  103–118  mathnet  mathscinet  zmath; Sb. Math., 192:2 (2001), 261–276  isi  scopus 1
2000
44. L. D. Pustyl’nikov, “Invariant Measures for Hyperbolic Partial Differential Equation and their Applications”, Keldysh Institute preprints, 2000, 034  mathnet
45. L. D. Pustyl'nikov, “The asymptotics of coefficients of the Taylor series of the function $\xi(s)$”, Keldysh Institute preprints, 2000, 009  mathnet 1
46. L. D. Pustyl'nikov, “On the asymptotic behaviour of the Taylor series coefficients of $\xi(s)$”, Uspekhi Mat. Nauk, 55:2(332) (2000),  145–146  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 55:2 (2000), 349–350  isi  scopus 7
1999
47. L. D. Pustyl’nikov, “Probabilistic and Ergodic Laws in the Distribution of Fractional Parts of the Polynomials Values”, Keldysh Institute preprints, 1999, 048  mathnet
48. L. D. Pustyl’nikov, “Stochastic Âiscrete Wafe Differential Equations and the Discrete String with Random Masses”, Keldysh Institute preprints, 1999, 007  mathnet
49. L. D. Pustyl'nikov, “Probability laws in the distribution of the fractional parts of the values of polynomials and evidence for the quantum chaos conjecture”, Uspekhi Mat. Nauk, 54:6(330) (1999),  173–174  mathnet  mathscinet  zmath; Russian Math. Surveys, 54:6 (1999), 1259–1260  isi  scopus 6
50. L. D. Pustyl'nikov, “The law of entropy increase and generalized billiards”, Uspekhi Mat. Nauk, 54:3(327) (1999),  179–180  mathnet  mathscinet  zmath; Russian Math. Surveys, 54:3 (1999), 650–651  isi  scopus 7
51. L. D. Pustyl'nikov, “On a property of the classical zeta-function associated with the Riemann hypothesis”, Uspekhi Mat. Nauk, 54:1(325) (1999),  259–260  mathnet  mathscinet  zmath; Russian Math. Surveys, 54:1 (1999), 262–263  isi  scopus 10
1998
52. L. D. Pustyl’nikov, “Generalized Continued Fractions Connected with the Gauss Transformation”, Keldysh Institute preprints, 1998, 035  mathnet
53. L. D. Pustyl'nikov, “On the measure of one-way oscillating motions for the Kolmogorov model and its generalization in the $n$-body problem”, Uspekhi Mat. Nauk, 53:5(323) (1998),  245–246  mathnet  mathscinet  zmath; Russian Math. Surveys, 53:5 (1998), 1102–1103  isi  scopus 2
1997
54. L. D. Pustyl’nikov, “Generalized Continued Fractions and Differential Equations”, Keldysh Institute preprints, 1997, 096  mathnet
55. L. D. Pustyl’nikov, “Investigation of the Standart Map and Its Probablistic Analog”, Keldysh Institute preprints, 1997, 029  mathnet
56. L. D. Pustyl'nikov, “Infinite-dimensional non-linear ordinary differential equations and the KAM theory”, Uspekhi Mat. Nauk, 52:3(315) (1997),  105–160  mathnet  mathscinet  zmath; Russian Math. Surveys, 52:3 (1997), 551–604  isi  scopus 10
57. L. D. Pustyl'nikov, “Infinite-dimensional generalized continued fractions, quadratic residues and non-residues, and ergodic theory”, Uspekhi Mat. Nauk, 52:2(314) (1997),  183–184  mathnet  mathscinet  zmath; Russian Math. Surveys, 52:2 (1997), 420–421  isi  scopus 3
1996
58. L. D. Pustyl’nikov, “Infinitely Dimensional Ordinary Differential Equations of a General Kind”, Keldysh Institute preprints, 1996, 084  mathnet
59. L. D. Pustyl’nikov, “Theory of an Equation with the Fermi-Pasta-Ulam Nonlinearity”, Keldysh Institute preprints, 1996, 055  mathnet
60. L. D. Pustyl’nikov, “Theory of an Equation with the Frenkel-Kontorova Potential”, Keldysh Institute preprints, 1996, 050  mathnet
1995
61. L. D. Pustyl'nikov, “On non-unique solubility and insolubility of an analytic infinite-dimensional ordinary differential equation of chain type”, Uspekhi Mat. Nauk, 50:6(306) (1995),  207–208  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:6 (1995), 1297–1298  isi 1
62. L. D. Pustyl'nikov, “Construction of periodic solutions in an infinite system of Fermi–Pasta–Ulam ordinary differential equations, stability, and KAM theory”, Uspekhi Mat. Nauk, 50:2(302) (1995),  221–222  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:2 (1995), 449–450  isi 4
63. L. D. Pustyl'nikov, “Poincaré models, rigorous justification of the second element of thermodynamics on the basis of mechanics, and the Fermi acceleration mechanism”, Uspekhi Mat. Nauk, 50:1(301) (1995),  143–186  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:1 (1995), 145–189  isi 43
1994
64. L. D. Pustyl'nikov, “Generalized continued fractions and estimates of Weyl sums and the remainder term in the distribution law for the fractional parts of the values of a polynomial”, Mat. Zametki, 56:6 (1994),  144–148  mathnet  mathscinet  zmath; Math. Notes, 56:6 (1994), 1315–1317  isi 5
65. L. D. Pustyl'nikov, “Existence of invariant curves for maps close to degenerate maps, and a solution of the Fermi–Ulam problem”, Mat. Sb., 185:6 (1994),  113–124  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 82:1 (1995), 231–241  isi 29
1993
66. L. D. Pustyl'nikov, “Distribution of the fractional parts of a polynomial, Weyl sums, and ergodic theory”, Uspekhi Mat. Nauk, 48:4(292) (1993),  131–166  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:4 (1993), 143–179  isi 10
67. L. D. Pustyl'nikov, “The distribution of quadratic residues and non-residues and a dynamical system”, Uspekhi Mat. Nauk, 48:1(289) (1993),  179–180  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:1 (1993), 185–186  isi 1
1992
68. L. D. Pustyl'nikov, “On the spectrum of the discrete inhomogeneous wave equation, and vibrations of a discrete string”, Mat. Sb., 183:3 (1992),  38–54  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 75:2 (1993), 317–331  isi 2
69. L. D. Pustyl'nikov, “Infinite-dimensional strange attractors and bifurcations in adynamical system with infinitely many degrees of freedom”, TMF, 92:1 (1992),  85–91  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 92:1 (1992), 754–758  isi 2
1991
70. L. D. Pustyl'nikov, “On the connection of the Riemann problem on zeros of the function $\zeta(s)$ with the spectrum of an operator acting in a Hilbert space”, Uspekhi Mat. Nauk, 46:2(278) (1991),  227–228  mathnet  mathscinet  zmath; Russian Math. Surveys, 46:2 (1991), 255–257  isi 3
71. L. D. Pustyl'nikov, “A mechanism of irreversibility and unbounded growth of the energy in a model of statistical mechanics”, TMF, 86:1 (1991),  120–129  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 86:1 (1991), 82–89  isi 7
1990
72. L. D. Pustyl'nikov, “A new mechanism of particle acceleration and rotation numbers”, TMF, 82:2 (1990),  257–267  mathnet  mathscinet; Theoret. and Math. Phys., 82:2 (1990), 180–187  isi 6
1988
73. L. D. Pustyl'nikov, “A ground state in the Frenkel'-Kontorova model”, Funktsional. Anal. i Prilozhen., 22:1 (1988),  85–86  mathnet  mathscinet; Funct. Anal. Appl., 22:1 (1988), 74–75  isi
74. L. D. Pustyl'nikov, “New mechanism of particle acceleration and relativistic analog of the Fermi–Ulam model”, TMF, 77:1 (1988),  154–160  mathnet  mathscinet; Theoret. and Math. Phys., 77:1 (1988), 1110–1115  isi 18
1987
75. L. D. Pustyl'nikov, “On the Fermi–Ulam model”, Dokl. Akad. Nauk SSSR, 292:3 (1987),  549–553  mathnet  mathscinet  zmath 7
76. L. D. Pustyl'nikov, “On oscillatory motions in a certain dynamical system”, Izv. Akad. Nauk SSSR Ser. Mat., 51:5 (1987),  1010–1032  mathnet  mathscinet  zmath; Math. USSR-Izv., 31:2 (1988), 325–347 3
1986
77. L. D. Pustyl'nikov, “Asymptotic behavior of trajectories of a standard mapping”, Mat. Zametki, 39:5 (1986),  719–726  mathnet  mathscinet  zmath; Math. Notes, 39:5 (1986), 395–399  isi 1
78. L. D. Pustyl'nikov, “A dynamical system with infinitely many degrees of freedom and solution of the Frenkel'–Kontorova problem”, TMF, 68:1 (1986),  58–68  mathnet  mathscinet; Theoret. and Math. Phys., 68:1 (1986), 673–681  isi 6
1985
79. L. D. Pustyl'nikov, “Strict justification of the possibility of unbounded increase in particle energy in a problem of nuclear physics”, Dokl. Akad. Nauk SSSR, 283:3 (1985),  550–553  mathnet  mathscinet 3
1984
80. L. D. Pustyl'nikov, “Toeplitz and Hankel matrices and their applications”, Uspekhi Mat. Nauk, 39:4(238) (1984),  53–84  mathnet  mathscinet  zmath; Russian Math. Surveys, 39:4 (1984), 63–98  isi 7
1983
81. L. D. Pustyl'nikov, “Unbounded growth of the action variable in certain physical models”, Tr. Mosk. Mat. Obs., 46 (1983),  187–200  mathnet  mathscinet 7
82. L. D. Pustyl'nikov, “On Ulam's problem”, TMF, 57:1 (1983),  128–132  mathnet  mathscinet; Theoret. and Math. Phys., 57:1 (1983), 1035–1038  isi 61
1981
83. L. D. Pustyl'nikov, “On a method for finding admissible controls in a linear system with phase constraints”, Differ. Uravn., 17:12 (1981),  2176–2184  mathnet  mathscinet  zmath
84. L. D. Pustyl'nikov, “On new estimates for the Weyl sums and the remainder term in the distribution of the fractional parts of a polynomial”, Uspekhi Mat. Nauk, 36:2(218) (1981),  203–204  mathnet  mathscinet  zmath; Russian Math. Surveys, 36:2 (1981), 195–196  isi 3
1980
85. L. D. Pustyl'nikov, “On the algebraic structure of the spaces of Toeplitz and Hankel matrices”, Dokl. Akad. Nauk SSSR, 250:3 (1980),  556–559  mathnet  mathscinet  zmath 6
86. L. D. Pustyl'nikov, “On fast calculations in some problems of linear algebra connected with Toeplitz and Hankel matrices”, Uspekhi Mat. Nauk, 35:5(215) (1980),  241–242  mathnet  mathscinet  zmath; Russian Math. Surveys, 35:5 (1980), 271–272  isi 6
1978
87. L. D. Pustyl'nikov, “Unbounded growth of the action variable in some physical models, and the problem of stochasticity”, Dokl. Akad. Nauk SSSR, 241:5 (1978),  1035–1038  mathnet  mathscinet  zmath 1
1977
88. L. D. Pustyl'nikov, “Stable and oscillating motions in nonautonomous dynamical systems. II”, Tr. Mosk. Mat. Obs., 34 (1977),  3–103  mathnet  mathscinet  zmath 5
1974
89. L. D. Pustyl'nikov, “Stable and oscillating motions in nonautonomous dynamical systems. A generalization of C. L. Siegel's theorem to the nonautonomous case”, Mat. Sb. (N.S.), 94(136):3(7) (1974),  407–429  mathnet  mathscinet  zmath; Math. USSR-Sb., 23:3 (1974), 382–404 14
1972
90. L. D. Pustyl'nikov, “Existence of a set of positive measure of oscillating motions in a certain problem of dynamics”, Dokl. Akad. Nauk SSSR, 202:2 (1972),  287–289  mathnet  mathscinet  zmath 4
91. L. D. Pustyl'nikov, “On stability of half-trajectories under area-preserving mappings of the plane”, Dokl. Akad. Nauk SSSR, 202:1 (1972),  38–40  mathnet  mathscinet  zmath 2
1971
92. L. D. Pustyl'nikov, “A generalization of two theorems of C. L. Siegel to the nonautonomous case”, Uspekhi Mat. Nauk, 26:4(160) (1971),  245–246  mathnet  mathscinet  zmath 1
1968
93. L. D. Pustyl'nikov, “A certain dynamical system”, Uspekhi Mat. Nauk, 23:4(142) (1968),  251–252  mathnet  mathscinet  zmath 2

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