Ryzhikov Valerii Valentinovich

Publications in Math-Net.Ru

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


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