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Ryzhikov, Valerii Valentinovich
Ryzhikov, Valerii Valentinovich
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person8499
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/228645

Publications in Math-Net.Ru Citations
2024
1. V. V. Ryzhikov, “Non-commuting automorphisms with non-convergent ergodic averages”, Algebra i Analiz, 36:6 (2024),  122–128  mathnet
2. Valerii Ryzhikov, Jean-Paul Thouvenot, “Quasi-similarity, entropy and disjointness of ergodic actions”, Funktsional. Anal. i Prilozhen., 58:1 (2024),  117–124  mathnet; Funct. Anal. Appl., 58:1 (2024), 90–96  scopus 1
3. V. V. Ryzhikov, “Generic correlations and ergodic averages for strongly and mildly mixing automorphisms”, Mat. Zametki, 116:3 (2024),  438–444  mathnet; Math. Notes, 116:3 (2024), 521–526 1
4. V. V. Ryzhikov, “Kolmogorov and Rokhlin spectral problems in the class of mixing automorphisms”, Uspekhi Mat. Nauk, 79:6(480) (2024),  159–160  mathnet
5. V. V. Ryzhikov, “Polynomial rigidity and the spectra of Sidon automorphisms”, Mat. Sb., 215:7 (2024),  138–152  mathnet  mathscinet  zmath; Sb. Math., 215:7 (2024), 993–1006  isi  scopus
2023
6. V. V. Ryzhikov, “Self-joinings and generic extensions of ergodic systems”, Funktsional. Anal. i Prilozhen., 57:3 (2023),  74–88  mathnet; Funct. Anal. Appl., 57:3 (2023), 236–247  scopus 1
7. V. V. Ryzhikov, “Slow Convergences of Ergodic Averages”, Mat. Zametki, 113:5 (2023),  742–746  mathnet  mathscinet; Math. Notes, 113:5 (2023), 704–707  scopus 2
8. V. V. Ryzhikov, “Spectra of Self-Similar Ergodic Actions”, Mat. Zametki, 113:2 (2023),  273–282  mathnet  mathscinet; Math. Notes, 113:2 (2023), 274–281  scopus 2
9. V. V. Ryzhikov, “Generic extensions of ergodic systems”, Mat. Sb., 214:10 (2023),  98–115  mathnet  mathscinet  zmath; Sb. Math., 214:10 (2023), 1442–1457  isi  scopus
2022
10. V. V. Ryzhikov, “Tensor simple spectrum of unitary flows”, Funktsional. Anal. i Prilozhen., 56:4 (2022),  113–117  mathnet; Funct. Anal. Appl., 56:4 (2022), 327–330  scopus
11. V. V. Ryzhikov, “Absolute continuity and singularity of spectra for the flows $T_t\otimes T_{at}$”, Funktsional. Anal. i Prilozhen., 56:3 (2022),  88–92  mathnet; Funct. Anal. Appl., 56:3 (2022), 225–228  scopus 2
2021
12. V. V. Ryzhikov, “Compact families and typical entropy invariants of measure-preserving actions”, Tr. Mosk. Mat. Obs., 82:1 (2021),  137–145  mathnet; Trans. Moscow Math. Soc., 82 (2021), 117–123  scopus 5
13. V. V. Ryzhikov, “Mixing Sets for Rigid Transformations”, Mat. Zametki, 110:4 (2021),  576–583  mathnet  elib; Math. Notes, 110:4 (2021), 565–570  isi  scopus 1
2020
14. V. V. Ryzhikov, “Measure-preserving rank one transformations”, Tr. Mosk. Mat. Obs., 81:2 (2020),  281–318  mathnet  elib; Trans. Moscow Math. Soc., 81:2 (2020), 229–259  scopus 8
2019
15. V. V. Ryzhikov, “Weakly homoclinic groups of ergodic actions”, Tr. Mosk. Mat. Obs., 80:1 (2019),  97–111  mathnet  elib; Trans. Moscow Math. Soc., 80 (2019), 83–94  scopus 2
16. V. V. Ryzhikov, “Weak Closure of Infinite Actions of Rank 1, Joinings, and Spectrum”, Mat. Zametki, 106:6 (2019),  894–903  mathnet  mathscinet  elib; Math. Notes, 106:6 (2019), 957–965  isi  scopus 5
2018
17. V. V. Ryzhikov, “Thouvenot's Isomorphism Problem for Tensor Powers of Ergodic Flows”, Mat. Zametki, 104:6 (2018),  912–917  mathnet  mathscinet  elib; Math. Notes, 104:6 (2018), 900–904  isi  scopus 2
18. M. S. Lobanov, V. V. Ryzhikov, “Special weak limits and simple spectrum of the tensor products of flows”, Mat. Sb., 209:5 (2018),  62–73  mathnet  mathscinet  zmath  elib; Sb. Math., 209:5 (2018), 660–671  isi  scopus 5
2017
19. I. V. Klimov, V. V. Ryzhikov, “Minimal Self-Joinings of Infinite Mixing Actions of Rank 1”, Mat. Zametki, 102:6 (2017),  851–856  mathnet  elib; Math. Notes, 102:6 (2017), 787–791  isi  scopus 3
2016
20. V. V. Ryzhikov, A. E. Troitskaya, “Mixing flows with homogeneous spectrum of multiplicity $2$”, Fundam. Prikl. Mat., 21:5 (2016),  191–197  mathnet; J. Math. Sci., 248:5 (2020), 642–646
21. A. Yu. Kushnir, V. V. Ryzhikov, “Weak Closures of Ergodic Actions”, Mat. Zametki, 100:6 (2016),  847–854  mathnet  mathscinet  elib; Math. Notes, 101:2 (2017), 277–283  isi  scopus 5
2015
22. V. V. Ryzhikov, J.-P. Thouvenot, “On the Centralizer of an Infinite Mixing Rank-One Transformation”, Funktsional. Anal. i Prilozhen., 49:3 (2015),  88–91  mathnet  elib; Funct. Anal. Appl., 49:3 (2015), 230–233  isi  scopus 8
2014
23. V. V. Ryzhikov, “Ergodic homoclinic groups, Sidon constructions and Poisson suspensions”, Tr. Mosk. Mat. Obs., 75:1 (2014),  93–103  mathnet  elib; Trans. Moscow Math. Soc., 75 (2014), 77–85  scopus 8
24. V. V. Ryzhikov, “On the Asymmetry of Multiple Asymptotic Properties of Ergodic Actions”, Mat. Zametki, 96:3 (2014),  432–439  mathnet  mathscinet  zmath  elib; Math. Notes, 96:3 (2014), 416–422  isi  elib  scopus 9
25. R. A. Konev, V. V. Ryzhikov, “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  mathnet  mathscinet  zmath  elib; Math. Notes, 96:3 (2014), 360–368  isi  elib  scopus 3
2013
26. V. V. Ryzhikov, “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  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 47:1 (2013), 76–79  isi  elib  scopus 1
27. V. V. Ryzhikov, “Bounded ergodic constructions, disjointness, and weak limits of powers”, Tr. Mosk. Mat. Obs., 74:1 (2013),  201–208  mathnet  mathscinet  zmath  elib; Trans. Moscow Math. Soc., 74 (2013), 165–171  scopus 9
2012
28. V. V. Ryzhikov, “Simple spectrum of the tensor product of powers of a mixing automorphism”, Tr. Mosk. Mat. Obs., 73:2 (2012),  229–239  mathnet  mathscinet  zmath  elib; Trans. Moscow Math. Soc., 73 (2012), 183–191  scopus 2
29. V. V. Ryzhikov, “Spectral multiplicity for powers of weakly mixing automorphisms”, Mat. Sb., 203:7 (2012),  149–160  mathnet  mathscinet  zmath  elib; Sb. Math., 203:7 (2012), 1065–1076  isi  scopus 2
2010
30. A. I. Danilenko, V. V. Ryzhikov, “Spectral Multiplicities of Infinite Measure Preserving Transformations”, Funktsional. Anal. i Prilozhen., 44:3 (2010),  1–13  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 44:3 (2010), 161–170  isi  scopus 7
2009
31. V. V. Ryzhikov, “Pairwise $\varepsilon$-Independence of the Sets $T^iA$ for a Mixing Transformation $T$”, Funktsional. Anal. i Prilozhen., 43:2 (2009),  88–91  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 43:2 (2009), 155–157  isi  scopus 4
32. V. V. Ryzhikov, “Spectral multiplicities and asymptotic operator properties of actions with invariant measure”, Mat. Sb., 200:12 (2009),  107–120  mathnet  mathscinet  zmath  elib; Sb. Math., 200:12 (2009), 1833–1845  isi  elib  scopus 15
2008
33. V. V. Ryzhikov, “Self-Joinings of Commutative Actions with Invariant Measure”, Mat. Zametki, 83:5 (2008),  792–795  mathnet  mathscinet  zmath; Math. Notes, 83:5 (2008), 723–726  isi  scopus 2
34. V. V. Ryzhikov, “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  mathnet  mathscinet  zmath
2007
35. V. V. Ryzhikov, “Weak limits of powers, simple spectrum of symmetric products, and rank-one mixing constructions”, Mat. Sb., 198:5 (2007),  137–159  mathnet  mathscinet  zmath  elib; Sb. Math., 198:5 (2007), 733–754  isi  elib  scopus 33
2006
36. V. V. Ryzhikov, J. Thouvenot, “Disjointness, Divisibility, and Quasi-Simplicity of Measure-Preserving Actions”, Funktsional. Anal. i Prilozhen., 40:3 (2006),  85–89  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 40:3 (2006), 237–240  isi  elib  scopus 23
37. V. V. Ryzhikov, A. E. Troitskaya, “Tensor roots of isomorphisms and weak limits of transformations”, Mat. Zametki, 80:4 (2006),  596–600  mathnet  mathscinet  zmath  elib; Math. Notes, 80:4 (2006), 563–566  isi  scopus 2
38. V. V. Ryzhikov, S. V. Tikhonov, “Typical $\mathbb Z^n$-actions can be inserted only in injective $\mathbb R^n$-actions”, Mat. Zametki, 79:6 (2006),  925–930  mathnet  mathscinet  zmath  elib; Math. Notes, 79:6 (2006), 864–868  isi  elib  scopus 3
39. V. V. Ryzhikov, “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  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 61:4 (2006), 786–787  isi  elib  scopus 6
2003
40. V. V. Ryzhikov, “Partial Multiple Mixing on Subsequences May Distinguish between Automorphisms $T$ and $T^{-1}$”, Mat. Zametki, 74:6 (2003),  889–895  mathnet  mathscinet  zmath; Math. Notes, 74:6 (2003), 841–847  isi 6
2001
41. V. V. Ryzhikov, “On the Ranks of an Ergodic Automorphism $T\times T$”, Funktsional. Anal. i Prilozhen., 35:2 (2001),  84–87  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 35:2 (2001), 151–153  isi  scopus 3
2000
42. V. V. Ryzhikov, “Rokhlin's Multiple Mixing Problem in the Class of Positive Local Rank Actions”, Funktsional. Anal. i Prilozhen., 34:1 (2000),  90–93  mathnet  mathscinet  zmath; Funct. Anal. Appl., 34:1 (2000), 73–75  isi 9
1998
43. A. A. Prikhod'ko, V. V. Ryzhikov, “Simple noncommutative counterexamples in joining theory”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 4,  16–19  mathnet  mathscinet  zmath
1997
44. V. V. Ryzhikov, “Polymorphisms, Joinings, and the Tensor Simplicity of Dynamical Systems”, Funktsional. Anal. i Prilozhen., 31:2 (1997),  45–57  mathnet  mathscinet  zmath; Funct. Anal. Appl., 31:2 (1997), 109–118  isi 10
45. V. V. Ryzhikov, “Intertwinings of tensor products, and the stochastic centralizer of dynamical systems”, Mat. Sb., 188:2 (1997),  67–94  mathnet  mathscinet  zmath  elib; Sb. Math., 188:2 (1997), 237–263  isi  scopus 7
46. V. V. Ryzhikov, “On the asymmetry of cascades”, Trudy Mat. Inst. Steklova, 216 (1997),  154–157  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 216 (1997), 147–150 5
1996
47. V. V. Ryzhikov, “Cohomology Relation for Cocycles that Correspond to Ergodic Skew Products”, Funktsional. Anal. i Prilozhen., 30:1 (1996),  84–86  mathnet  mathscinet  zmath; Funct. Anal. Appl., 30:1 (1996), 64–66  isi
48. V. V. Ryzhikov, “Even and odd primality of dynamical systems with invariant measure”, Mat. Zametki, 60:3 (1996),  470–473  mathnet  mathscinet  zmath  elib; Math. Notes, 60:3 (1996), 353–356  isi 4
49. V. V. Ryzhikov, “The isomorphism of measure-preserving transformations with isomorphic Cartesian powers is typical”, Mat. Zametki, 59:4 (1996),  630–632  mathnet  mathscinet  zmath; Math. Notes, 59:4 (1996), 453–456  isi 6
50. A. A. Prikhod'ko, V. V. Ryzhikov, “The Rokhlin–Halmos–Alpern maximal lemma”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, no. 3,  37–41  mathnet  mathscinet  zmath 2
1995
51. V. V. Ryzhikov, “Multiple Mixing and Local Rank of Dynamical Systems”, Funktsional. Anal. i Prilozhen., 29:2 (1995),  88–91  mathnet  mathscinet  zmath; Funct. Anal. Appl., 29:2 (1995), 143–145  isi
52. V. V. Ryzhikov, “A functional view of Szemeredi's theorem. A remark on multiple intermixing of flows”, Uspekhi Mat. Nauk, 50:6(306) (1995),  213–214  mathnet  mathscinet  zmath; Russian Math. Surveys, 50:6 (1995), 1304–1305  isi 1
1994
53. V. V. Ryzhikov, “The absence of mixing in special flows over rearrangements of segments”, Mat. Zametki, 55:6 (1994),  146–149  mathnet  mathscinet  zmath; Math. Notes, 55:6 (1994), 648–650  isi 1
54. V. V. Ryzhikov, “Skew products and multiple mixing of dynamical systems”, Uspekhi Mat. Nauk, 49:2(296) (1994),  163–164  mathnet  mathscinet  zmath; Russian Math. Surveys, 49:2 (1994), 170–171  isi 3
1993
55. V. V. Ryzhikov, “Joinings and Multiple Mixing of Finite Rank Actions”, Funktsional. Anal. i Prilozhen., 27:2 (1993),  63–78  mathnet  mathscinet  zmath; Funct. Anal. Appl., 27:2 (1993), 128–140  isi 27
56. V. V. Ryzhikov, “Joinings, intertwining operators, factors, and mixing properties of dynamical systems”, Izv. RAN. Ser. Mat., 57:1 (1993),  102–128  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 42:1 (1994), 91–114  isi 11
57. V. V. Ryzhikov, “Factorization of an automorphism of a complete boolean algebra into a product of three involutions”, Mat. Zametki, 54:2 (1993),  79–84  mathnet  mathscinet  zmath; Math. Notes, 54:2 (1993), 821–824  isi 2
1992
58. V. V. Ryzhikov, “Stochastic intertwinings and joinings of dynamic systems”, Mat. Zametki, 52:3 (1992),  130–140  mathnet  mathscinet  zmath; Math. Notes, 52:3 (1992), 971–978  isi
59. V. V. Ryzhikov, “An estimate of the entropy of a class of $Z^2$-actions”, Mat. Zametki, 51:2 (1992),  152–155  mathnet  mathscinet  zmath; Math. Notes, 51:2 (1992), 215–218  isi 2
60. V. V. Ryzhikov, “Mixing, rank, and minimal self-joining of actions with an invariant measure”, Mat. Sb., 183:3 (1992),  133–160  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 75:2 (1993), 405–427  isi 30
1991
61. V. V. Ryzhikov, “Nonisomorphic full automorphism groups of nonseparable measure spaces”, Mat. Zametki, 50:4 (1991),  152–154  mathnet  mathscinet  zmath; Math. Notes, 50:4 (1991), 1087–1088  isi
62. V. V. Ryzhikov, “Connection between the mixing properties of a flow and the isomorphicity of the transformations that compose it”, Mat. Zametki, 49:6 (1991),  98–106  mathnet  mathscinet  zmath; Math. Notes, 49:6 (1991), 621–627  isi 5
63. V. V. Ryzhikov, “Joinings of dynamical systems. Approximations and mixing”, Uspekhi Mat. Nauk, 46:5(281) (1991),  177–178  mathnet  mathscinet  zmath; Russian Math. Surveys, 46:5 (1991), 199–200  isi 3
1989
64. V. V. Ryzhikov, “A note on multiple mixing”, Uspekhi Mat. Nauk, 44:1(265) (1989),  205–206  mathnet  mathscinet  zmath; Russian Math. Surveys, 44:1 (1989), 251–252  isi 10
1988
65. V. V. Ryzhikov, “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  mathnet  mathscinet  zmath; Math. Notes, 44:2 (1988), 596–600  isi 5
1987
66. V. V. Ryzhikov, V. I. Dmitriev, “Generalization of the Chevalley and von Neumann problems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, no. 6,  56–57  mathnet  mathscinet  zmath
1985
67. V. V. Ryzhikov, “Representation of transformations preserving the lebesgue measure in the form of periodic transformations”, Mat. Zametki, 38:6 (1985),  860–865  mathnet  mathscinet  zmath; Math. Notes, 38:6 (1985), 978–981  isi 6
2022
68. O. N. Ageev, Ya. B. Vorobets, B. Weiss, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, L. S. Efremova, A. Yu. Zhirov, E. V. Zhuzhoma, B. S. Kashin, V. N. Kolokoltsov, A. V. Kochergin, L. M. Lerman, I. V. Mykytyuk, V. I. Oseledets, A. Yu. Plakhov, O. V. Pochinka, V. V. Ryzhikov, V. Zh. Sakbaev, A. G. Sergeev, Ya. G. Sinai, A. T. Tagi-Zade, S. V. Tikhonov, J.-P. Thouvenot, A. Ya. Helemskii, A. I. Shafarevich, “Anatolii Mikhailovich Stepin (obituary)”, Uspekhi Mat. Nauk, 77:2(464) (2022),  189–194  mathnet  mathscinet  zmath; Russian Math. Surveys, 77:2 (2022), 361–367  isi
2013
69. A. M. Vershik, A. A. Kirillov, V. F. Molchanov, Yu. A. Neretin, G. I. Olshanski, V. V. Ryzhikov, V. M. Tikhomirov, A. A. Shkalikov, “Rais Sal'manovich Ismagilov (on his 75th birthday)”, Uspekhi Mat. Nauk, 68:4(412) (2013),  185–190  mathnet  mathscinet  elib; Russian Math. Surveys, 68:4 (2013), 783–788  isi  scopus

Presentations in Math-Net.Ru
1. Convolution of spectral measures.
V. V. Ryzhikov
Seminar on Theory of Functions of Real Variables
November 29, 2024 18:30
2. Finitely generated weak closures of ergodic actions
V. V. Ryzhikov
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov
July 6, 2023 16:45
3. Меры динамического происхождения с экзотическими свойствами
V. V. Ryzhikov
Seminar on Theory of Functions of Real Variables
April 7, 2023 18:30
4. Generic extensions of ergodic systems
V. V. Ryzhikov
International conference “Ergodic Theory and Related Topics”
November 25, 2022 11:00   
5. Joining algebra
V. V. Ryzhikov
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
November 23, 2022 16:45
6. Entropy invariants of generic measure-preserving actions
V. V. Ryzhikov
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 2, 2021 12:15   
7. Homoclinic groups of ergodic actions
V. V. Ryzhikov
St. Petersburg Seminar on Representation Theory and Dynamical Systems
December 11, 2019 17:00
8. Явный пример перемешивающего преобразования с однородным спектром кратности 2
V. V. Ryzhikov
Dobrushin Mathematics Laboratory Seminar
December 3, 2019 16:00
9. О спектрах гауссовских и пуассоновских действий
V. V. Ryzhikov
Dynamical systems and differential equations
December 2, 2019 18:30
10. Перемешивающие преобразования с алгебраическими надстройками
V. V. Ryzhikov
Dynamical systems and differential equations
November 19, 2018 18:30
11. Перемешивающие потоки со свойством простоты спектра тензорных произведений его элементов
V. V. Ryzhikov
Seminar "Optimal Control and Dynamical Systems"
December 8, 2017 13:00   
12. Специальные слабые пределы потоков (продолжение доклада)
M. S. Lobanov, V. V. Ryzhikov
Dynamical systems and differential equations
November 13, 2017 18:30
13. Специальные слабые пределы потоков
M. S. Lobanov, V. V. Ryzhikov
Dynamical systems and differential equations
October 9, 2017 18:30
14. Поля Галуа, универсальные слабые пределы и спектральные свойства потоков
V. V. Ryzhikov, M. S. Lobanov
Seminar on Theory of Functions of Real Variables
March 10, 2017 18:30
15. Homoclinic invariants of ergodic actions
Valery Ryzhikov
International Conference “Anosov Systems and Modern Dynamics” dedicated to the 80th anniversary of Dmitry Anosov
December 21, 2016 12:50   
16. Минимальные самоприсоединения действий ранга 1
V. V. Ryzhikov
Dynamical systems and differential equations
November 14, 2016 18:30
17. Задача Тувено и слабые пределы потоков
V. V. Ryzhikov
Dynamical systems and differential equations
September 26, 2016 18:30
18. О дизъюнктности динамических систем
V. V. Ryzhikov
Seminar on Theory of Functions of Real Variables
April 22, 2016 18:30
19. Свойство Гордина и другие гомоклинические инварианты динамических систем
V. V. Ryzhikov
Dynamical systems and differential equations
February 15, 2016 18:30
20. Self-joinings in ergodic theory
V. V. Ryzhikov
St. Petersburg Seminar on Representation Theory and Dynamical Systems
October 13, 2010 17:00
21. V. A. Rokhlin's problem on multiple mixing and related problems in ergodic theory
V. V. Ryzhikov
Meetings of the St. Petersburg Mathematical Society
October 12, 2010 18:00

Organisations
 
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