Zhuravlev Vladimir Georgievich

Publications in Math-Net.Ru

1. Local rules for quasi-periodic tilings
   
   Zap. Nauchn. Sem. POMI, 538 (2024),  102–128
2. Multidimensional Euclidean algorithm and continued fractions
   
   Zap. Nauchn. Sem. POMI, 538 (2024),  85–101
3. Multidimensional inhomogeneous approximations
   
   Zap. Nauchn. Sem. POMI, 538 (2024),  45–84
4. Self-similarity and substitutions of the karyon tilings
   
   Zap. Nauchn. Sem. POMI, 523 (2023),  83–120
5. Inflation and deflation of the karyon tilings
   
   Zap. Nauchn. Sem. POMI, 523 (2023),  53–82
6. Circle homeomorphisms and continued fractions
   
   Zap. Nauchn. Sem. POMI, 523 (2023),  39–52
7. Symmetries of the universal karyon tilings
   
   Zap. Nauchn. Sem. POMI, 511 (2022),  100–136
8. Combinatoric of the karyon tilings
   
   Zap. Nauchn. Sem. POMI, 511 (2022),  54–99
9. Differentiating of the karyon tilings
   
   Zap. Nauchn. Sem. POMI, 511 (2022),  28–53
10. Symmetries structure of karyon tilings
    
    Zap. Nauchn. Sem. POMI, 502 (2021),  74–121
11. Local structure of the karyon tilings
    
    Zap. Nauchn. Sem. POMI, 502 (2021),  32–73
12. Fractional-matrix invariance of Diophantine systems of linear forms
    
    Zap. Nauchn. Sem. POMI, 502 (2021),  5–31
13. Universal karyon tilings
    
    Zap. Nauchn. Sem. POMI, 490 (2020),  49–93
14. $\mathcal{L}$-algorithm for approximating Diophantine systems of linear forms
    
    Zap. Nauchn. Sem. POMI, 490 (2020),  25–48
15. Diophantine approximations of linear forms
    
    Zap. Nauchn. Sem. POMI, 490 (2020),  5–24
16. Local algorithm for constructing the derived tilings of two-dimensional torus
    
    Zap. Nauchn. Sem. POMI, 479 (2019),  85–120
17. The best approximation of algebraic numbers by multidimensional continued fractions
    
    Zap. Nauchn. Sem. POMI, 479 (2019),  52–84
18. Dual Diophantine systems of linear inequalities
    
    Zap. Nauchn. Sem. POMI, 479 (2019),  23–51
19. Unimodular invariance of karyon decompositions of algebraic numbers in multidimensional continued fractions
    
    Zap. Nauchn. Sem. POMI, 469 (2018),  96–137
20. The unimodularity of the induced toric tilings
    
    Zap. Nauchn. Sem. POMI, 469 (2018),  64–95
21. The karyon algorithm for decomposition into multidimensional continued fractions
    
    Zap. Nauchn. Sem. POMI, 469 (2018),  32–63
22. Simplex–karyon algorithm of multidimensional continued fraction expansion
    
    Trudy Mat. Inst. Steklova, 299 (2017),  283–303
23. Local Pisot matricies and mutual approximations of algebraic numbers
    
    Zap. Nauchn. Sem. POMI, 458 (2017),  104–134
24. Fractional-linear invariance of the symplex-module algorithm for decomposition in multidimensional continued fractions
    
    Zap. Nauchn. Sem. POMI, 458 (2017),  77–103
25. Fractional-linear invariance of multidimensional continued fractions
    
    Zap. Nauchn. Sem. POMI, 458 (2017),  42–76
26. Induced bounded remainder sets
    
    Algebra i Analiz, 28:5 (2016),  171–194
27. Symmetrization of bounded remainder sets
    
    Algebra i Analiz, 28:4 (2016),  80–101
28. Periodic karyon expansions of cubic irrationals in continued fractions
    
    Sovrem. Probl. Mat., 23 (2016),  43–68
29. Karyon expansions of Pisot numbers in multidimensional continued fractions
    
    Zap. Nauchn. Sem. POMI, 449 (2016),  168–195
30. Simplex-module algorithm for expansion of algebraic numbers in multidimensional continued fractions
    
    Zap. Nauchn. Sem. POMI, 449 (2016),  130–167
31. Periodic karyon expansions of algebraic units in multidimensional continued fractions
    
    Zap. Nauchn. Sem. POMI, 449 (2016),  84–129
32. Bounded remainder sets
    
    Zap. Nauchn. Sem. POMI, 445 (2016),  93–174
33. Differentiation of induced toric tilings and multi-dimensional approximations of algebraic numbers
    
    Zap. Nauchn. Sem. POMI, 445 (2016),  33–92
34. Bounded remainder sets with respect to toric exchange transformations
    
    Algebra i Analiz, 27:2 (2015),  96–131
35. Multi-colour bounded remainder sets
    
    Chebyshevskii Sb., 16:2 (2015),  93–116
36. Multi-colour dynamical tilings of tori into bounded remainder sets
    
    Izv. RAN. Ser. Mat., 79:5 (2015),  65–102
37. Dividing toric tilings and bounded remainder sets
    
    Zap. Nauchn. Sem. POMI, 440 (2015),  99–122
38. Two-dimension approximations by the method of dividing toric tilings
    
    Zap. Nauchn. Sem. POMI, 440 (2015),  81–98
39. Imbedding of circular orbits and the distribution of fractional parts
    
    Algebra i Analiz, 26:6 (2014),  29–68
40. Bounded remainder sets on the double covering of the Klein bottle
    
    Zap. Nauchn. Sem. POMI, 429 (2014),  82–105
41. Moduli of toric tilings into bounded remainder sets and balanced words
    
    Algebra i Analiz, 24:4 (2012),  97–136
42. Multi-dimensional Hecke theorem on the distribution of fractional parts
    
    Algebra i Analiz, 24:1 (2012),  95–130
43. Bounded Remainder Polyhedra
    
    Sovrem. Probl. Mat., 16 (2012),  82–102
44. The Hecke theorem: Form and Idea
    
    Chebyshevskii Sb., 12:1 (2011),  79–92
45. Exchanged toric developments and bounded remainder sets
    
    Zap. Nauchn. Sem. POMI, 392 (2011),  95–145
46. Parametrization of a two-dimensional quasiperiodic Rauzy tiling
    
    Algebra i Analiz, 22:4 (2010),  21–56
47. Geometrization of Hecke's theorem
    
    Chebyshevskii Sb., 11:1 (2010),  126–144
48. Hyperbolas over two-dimensional Fibonacci quasilattices
    
    Fundam. Prikl. Mat., 16:6 (2010),  45–62
49. One-dimensional Fibonacci tilings and induced two-colour rotations of the circle
    
    Izv. RAN. Ser. Mat., 74:2 (2010),  65–108
50. Two-colour rotations of the unit circle
    
    Izv. RAN. Ser. Mat., 73:1 (2009),  79–120
51. One-dimensional quasiperiodic tilings admitting progressions enclosure
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 7,  3–9
52. Even Fibonacci numbers: the binary additive problem, the distribution over progressions, and the spectrum
    
    Algebra i Analiz, 20:3 (2008),  18–46
53. One-dimensional Fibonacci quasilattices and their application to the Euclidean algorithm and Diophantine equations
    
    Algebra i Analiz, 19:3 (2007),  151–182
54. The arithmetic of two-color rotations of the circle
    
    Chebyshevskii Sb., 8:2 (2007),  56–72
55. One-dimensional Fibonacci tilings
    
    Izv. RAN. Ser. Mat., 71:2 (2007),  89–122
56. The Pell equation over the $\circ$-Fibonacci ring
    
    Zap. Nauchn. Sem. POMI, 350 (2007),  139–159
57. The attraction domain for the attractor of a two-color circle rotation
    
    Zap. Nauchn. Sem. POMI, 350 (2007),  89–138
58. Sums of squares over the Fibonacci $\circ$-ring
    
    Zap. Nauchn. Sem. POMI, 337 (2006),  165–190
59. Rauzy tilings and bounded remainder sets on the torus
    
    Zap. Nauchn. Sem. POMI, 322 (2005),  83–106
60. Growth of random tilings of graphs: between crystal and chaos
    
    Algebra i Analiz, 14:6 (2002),  129–168
61. Self-similar growth of periodic partitions and graphs
    
    Algebra i Analiz, 13:2 (2001),  69–92
62. Deformations of quadratic Diophantine systems
    
    Izv. RAN. Ser. Mat., 65:6 (2001),  15–56
63. Random walks on plane crystallographic groups
    
    Zap. Nauchn. Sem. POMI, 276 (2001),  204–218
64. Primitive embeddings into local lattices of prime determinant
    
    Algebra i Analiz, 11:1 (1999),  87–117
65. Embedding $p$-elementary lattices
    
    Izv. RAN. Ser. Mat., 63:1 (1999),  77–106
66. Orbits of representations of numbers by local quadratic forms
    
    Trudy Mat. Inst. Steklova, 218 (1997),  151–164
67. Representation of a form by a genus of quadratic forms
    
    Algebra i Analiz, 8:1 (1996),  21–112
68. Multiplicative arithmetic of theta-series of odd quadratic forms
    
    Izv. RAN. Ser. Mat., 59:3 (1995),  77–140
69. Spherical theta-series and Hecke operators
    
    Trudy Mat. Inst. Steklov., 207 (1994),  93–122
70. Euler decompositions for theta-series of even quadratic forms
    
    Zap. Nauchn. Sem. POMI, 212 (1994),  97–113
71. Generalized Eichler–Brandt matrices, Hecke operators, and vector-valued theta series
    
    Algebra i Analiz, 5:3 (1993),  143–178
72. A correspondence between theta series of ternary and quasiternary quadratic forms
    
    Zap. Nauchn. Sem. LOMI, 196 (1991),  61–82
73. Local duality for Hecke operators for symplectic and orthogonal groups
    
    Zap. Nauchn. Sem. LOMI, 185 (1990),  37–59
74. The trace of Hecke operators of quaternion quadratic spaces
    
    Algebra i Analiz, 1:6 (1989),  149–166
75. Explicit duality formulas for symplectic and orthogonal Hecke operators on theta-series of positive quadratic forms
    
    Mat. Sb. (N.S.), 130(172):3(7) (1986),  413–430
76. Euler expansions of theta transforms of Siegel modular forms of half-integral weight and their analytic properties
    
    Mat. Sb. (N.S.), 123(165):2 (1984),  174–194
77. Hecke rings for a covering of the symplectic group
    
    Mat. Sb. (N.S.), 121(163):3(7) (1983),  381–402
78. Euler products for Hilbert–Siegel modular forms of genus $2$
    
    Mat. Sb. (N.S.), 117(159):4 (1982),  449–468
79. Hecke operators of the symplectic group of degree two over a real field
    
    Zap. Nauchn. Sem. LOMI, 100 (1980),  48–58
80. Zeros on the critical line of Dirichlet series associated with Hilbert modular forms
    
    Zap. Nauchn. Sem. LOMI, 76 (1978),  89–123
81. Zeros of the Dirichlet $L$-functions on short segments of the critical line
    
    Zap. Nauchn. Sem. LOMI, 76 (1978),  72–88
82. The zeros of a Dirichlet $L$ function on the critical line
    
    Mat. Zametki, 19:4 (1976),  561–570


83. Evgeny Vladimirovich Podsypanin
    
    Chebyshevskii Sb., 21:4 (2020),  425–426
84. Boris Veniaminovich Levin. On his 90th anniversary
    
    Chebyshevskii Sb., 18:2 (2017),  315–330
85. Aleksandr Aleksandrovich Yudin
    
    Chebyshevskii Sb., 10:1 (2009),  109–113
86. Nikolai Mikhailovich Timofeev (obituary)
    
    Uspekhi Mat. Nauk, 58:4(352) (2003),  135–138