Ryzhikov Valerii Valentinovich

Publications in Math-Net.Ru

1. Rank 1 is generic for infinite mixings
   
   Mat. Zametki, 119:3 (2026),  433–439
2. Spectra and joint dynamics of Poisson suspensions over rank-one automorphisms
   
   Mat. Sb., 217:1 (2026),  98–113
3. Asymmetric mixing Poisson suspensions
   
   Algebra i Analiz, 37:4 (2025),  141–148
4. Tensor factorizations of a unitary operator with simple Lebesgue spectrum
   
   Funktsional. Anal. i Prilozhen., 59:2 (2025),  146–148
5. Recurrence of Integral Zeros for Ergodic Flows
   
   Mat. Zametki, 118:1 (2025),  135–142
6. Rigid Poisson suspensions without roots
   
   Mat. Zametki, 117:1 (2025),  146–150
7. Slow convergence of weighted averages for flows and actions of countable amenable groups
   
   Uspekhi Mat. Nauk, 80:5(485) (2025),  179–180
8. Multiple mixing, local rank and joinings of probability space automorphisms
   
   Teor. Veroyatnost. i Primenen., 70:4 (2025),  753–763
9. Non-commuting automorphisms with non-convergent ergodic averages
   
   Algebra i Analiz, 36:6 (2024),  122–128
10. Quasi-similarity, entropy and disjointness of ergodic actions
    
    Funktsional. Anal. i Prilozhen., 58:1 (2024),  117–124
11. Generic properties of ergodic automorphisms
    
    Tr. Mosk. Mat. Obs., 85:1 (2024),  59–69
12. Generic correlations and ergodic averages for strongly and mildly mixing automorphisms
    
    Mat. Zametki, 116:3 (2024),  438–444
13. Kolmogorov and Rokhlin spectral problems in the class of mixing automorphisms
    
    Uspekhi Mat. Nauk, 79:6(480) (2024),  159–160
14. Polynomial rigidity and the spectra of Sidon automorphisms
    
    Mat. Sb., 215:7 (2024),  138–152
15. Self-joinings and generic extensions of ergodic systems
    
    Funktsional. Anal. i Prilozhen., 57:3 (2023),  74–88
16. Slow Convergences of Ergodic Averages
    
    Mat. Zametki, 113:5 (2023),  742–746
17. Spectra of Self-Similar Ergodic Actions
    
    Mat. Zametki, 113:2 (2023),  273–282
18. Generic extensions of ergodic systems
    
    Mat. Sb., 214:10 (2023),  98–115
19. Tensor simple spectrum of unitary flows
    
    Funktsional. Anal. i Prilozhen., 56:4 (2022),  113–117
20. Absolute continuity and singularity of spectra for the flows $T_t\otimes T_{at}$
    
    Funktsional. Anal. i Prilozhen., 56:3 (2022),  88–92
21. Compact families and typical entropy invariants of measure-preserving actions
    
    Tr. Mosk. Mat. Obs., 82:1 (2021),  137–145
22. Mixing Sets for Rigid Transformations
    
    Mat. Zametki, 110:4 (2021),  576–583
23. Measure-preserving rank one transformations
    
    Tr. Mosk. Mat. Obs., 81:2 (2020),  281–318
24. Weakly homoclinic groups of ergodic actions
    
    Tr. Mosk. Mat. Obs., 80:1 (2019),  97–111
25. Weak Closure of Infinite Actions of Rank 1, Joinings, and Spectrum
    
    Mat. Zametki, 106:6 (2019),  894–903
26. Thouvenot's Isomorphism Problem for Tensor Powers of Ergodic Flows
    
    Mat. Zametki, 104:6 (2018),  912–917
27. Special weak limits and simple spectrum of the tensor products of flows
    
    Mat. Sb., 209:5 (2018),  62–73
28. Minimal Self-Joinings of Infinite Mixing Actions of Rank 1
    
    Mat. Zametki, 102:6 (2017),  851–856
29. Mixing flows with homogeneous spectrum of multiplicity $2$
    
    Fundam. Prikl. Mat., 21:5 (2016),  191–197
30. Weak Closures of Ergodic Actions
    
    Mat. Zametki, 100:6 (2016),  847–854
31. On the Centralizer of an Infinite Mixing Rank-One Transformation
    
    Funktsional. Anal. i Prilozhen., 49:3 (2015),  88–91
32. Ergodic homoclinic groups, Sidon constructions and Poisson suspensions
    
    Tr. Mosk. Mat. Obs., 75:1 (2014),  93–103
33. On the Asymmetry of Multiple Asymptotic Properties of Ergodic Actions
    
    Mat. Zametki, 96:3 (2014),  432–439
34. On the Collection of Spectral Multiplicities $\{2,4,\dots,2^n\}$ for Totally Ergodic $\mathbb{Z}^2$-Actions
    
    Mat. Zametki, 96:3 (2014),  383–392
35. The Local Rank of an Ergodic Symmetric Power $T^{\odot n}$ Does Not Exceed $n!\,n^{-n}$
    
    Funktsional. Anal. i Prilozhen., 47:1 (2013),  92–96
36. Bounded ergodic constructions, disjointness, and weak limits of powers
    
    Tr. Mosk. Mat. Obs., 74:1 (2013),  201–208
37. Simple spectrum of the tensor product of powers of a mixing automorphism
    
    Tr. Mosk. Mat. Obs., 73:2 (2012),  229–239
38. Spectral multiplicity for powers of weakly mixing automorphisms
    
    Mat. Sb., 203:7 (2012),  149–160
39. Spectral Multiplicities of Infinite Measure Preserving Transformations
    
    Funktsional. Anal. i Prilozhen., 44:3 (2010),  1–13
40. Pairwise $\varepsilon$-Independence of the Sets $T^iA$ for a Mixing Transformation $T$
    
    Funktsional. Anal. i Prilozhen., 43:2 (2009),  88–91
41. Spectral multiplicities and asymptotic operator properties of actions with invariant measure
    
    Mat. Sb., 200:12 (2009),  107–120
42. Self-Joinings of Commutative Actions with Invariant Measure
    
    Mat. Zametki, 83:5 (2008),  792–795
43. Rank, rigidity of factors, and weak closure of measure-preserving $\mathbf{Z}^n$-actions
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2008, no. 4,  13–16
44. Weak limits of powers, simple spectrum of symmetric products, and rank-one mixing constructions
    
    Mat. Sb., 198:5 (2007),  137–159
45. Disjointness, Divisibility, and Quasi-Simplicity of Measure-Preserving Actions
    
    Funktsional. Anal. i Prilozhen., 40:3 (2006),  85–89
46. Tensor roots of isomorphisms and weak limits of transformations
    
    Mat. Zametki, 80:4 (2006),  596–600
47. Typical $\mathbb Z^n$-actions can be inserted only in injective $\mathbb R^n$-actions
    
    Mat. Zametki, 79:6 (2006),  925–930
48. Factors, rank, and embedding of a generic $\mathbb Z^n$-action in an $\mathbb R^n$-flow
    
    Uspekhi Mat. Nauk, 61:4(370) (2006),  197–198
49. Partial Multiple Mixing on Subsequences May Distinguish between Automorphisms $T$ and $T^{-1}$
    
    Mat. Zametki, 74:6 (2003),  889–895
50. On the Ranks of an Ergodic Automorphism $T\times T$
    
    Funktsional. Anal. i Prilozhen., 35:2 (2001),  84–87
51. Rokhlin's Multiple Mixing Problem in the Class of Positive Local Rank Actions
    
    Funktsional. Anal. i Prilozhen., 34:1 (2000),  90–93
52. Simple noncommutative counterexamples in joining theory
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 4,  16–19
53. Polymorphisms, Joinings, and the Tensor Simplicity of Dynamical Systems
    
    Funktsional. Anal. i Prilozhen., 31:2 (1997),  45–57
54. Intertwinings of tensor products, and the stochastic centralizer of dynamical systems
    
    Mat. Sb., 188:2 (1997),  67–94
55. On the asymmetry of cascades
    
    Trudy Mat. Inst. Steklova, 216 (1997),  154–157
56. Cohomology Relation for Cocycles that Correspond to Ergodic Skew Products
    
    Funktsional. Anal. i Prilozhen., 30:1 (1996),  84–86
57. Even and odd primality of dynamical systems with invariant measure
    
    Mat. Zametki, 60:3 (1996),  470–473
58. The isomorphism of measure-preserving transformations with isomorphic Cartesian powers is typical
    
    Mat. Zametki, 59:4 (1996),  630–632
59. The Rokhlin–Halmos–Alpern maximal lemma
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 3,  37–41
60. Multiple Mixing and Local Rank of Dynamical Systems
    
    Funktsional. Anal. i Prilozhen., 29:2 (1995),  88–91
61. A functional view of Szemeredi's theorem. A remark on multiple intermixing of flows
    
    Uspekhi Mat. Nauk, 50:6(306) (1995),  213–214
62. The absence of mixing in special flows over rearrangements of segments
    
    Mat. Zametki, 55:6 (1994),  146–149
63. Skew products and multiple mixing of dynamical systems
    
    Uspekhi Mat. Nauk, 49:2(296) (1994),  163–164
64. Joinings and Multiple Mixing of Finite Rank Actions
    
    Funktsional. Anal. i Prilozhen., 27:2 (1993),  63–78
65. Joinings, intertwining operators, factors, and mixing properties of dynamical systems
    
    Izv. RAN. Ser. Mat., 57:1 (1993),  102–128
66. Factorization of an automorphism of a complete boolean algebra into a product of three involutions
    
    Mat. Zametki, 54:2 (1993),  79–84
67. Stochastic intertwinings and joinings of dynamic systems
    
    Mat. Zametki, 52:3 (1992),  130–140
68. An estimate of the entropy of a class of $Z^2$-actions
    
    Mat. Zametki, 51:2 (1992),  152–155
69. Mixing, rank, and minimal self-joining of actions with an invariant measure
    
    Mat. Sb., 183:3 (1992),  133–160
70. Nonisomorphic full automorphism groups of nonseparable measure spaces
    
    Mat. Zametki, 50:4 (1991),  152–154
71. Connection between the mixing properties of a flow and the isomorphicity of the transformations that compose it
    
    Mat. Zametki, 49:6 (1991),  98–106
72. Joinings of dynamical systems. Approximations and mixing
    
    Uspekhi Mat. Nauk, 46:5(281) (1991),  177–178
73. A note on multiple mixing
    
    Uspekhi Mat. Nauk, 44:1(265) (1989),  205–206
74. The $\varepsilon$-free Rokhlin–Halmos property is not satisfied for the actions of the group $\mathbb Z^2$
    
    Mat. Zametki, 44:2 (1988),  208–215
75. Generalization of the Chevalley and von Neumann problems
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 6,  56–57
76. Representation of transformations preserving the lebesgue measure in the form of periodic transformations
    
    Mat. Zametki, 38:6 (1985),  860–865


77. Anatolii Mikhailovich Stepin (obituary)
    
    Uspekhi Mat. Nauk, 77:2(464) (2022),  189–194
78. Rais Sal'manovich Ismagilov (on his 75th birthday)
    
    Uspekhi Mat. Nauk, 68:4(412) (2013),  185–190