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Ryzhikov, Valerii Valentinovich

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Total publications: 55
Scientific articles: 54
Presentations: 15

Number of views:
This page:5011
Abstract pages:14929
Full texts:5105
References:1874
Ryzhikov, Valerii Valentinovich
Doctor of physico-mathematical sciences
E-mail:

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https://mathscinet.ams.org/mathscinet/MRAuthorID/228645

Publications in Math-Net.Ru
2020
1. 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
2019
2. 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
3. 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
2018
4. 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
5. 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  elib; Sb. Math., 209:5 (2018), 660–671  isi  scopus
2017
6. 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
2016
7. V. V. Ryzhikov, A. E. Troitskaya, “Mixing flows with homogeneous spectrum of multiplicity $2$”, Fundam. Prikl. Mat., 21:5 (2016),  191–197  mathnet
8. 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
2015
9. 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
2014
10. 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
11. 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
12. R. A. Konev, V. V. Ryzhikov, “On the Collection of Spectral Multiplicities $\{2,4,…,2^n\}$ 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
2013
13. 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
14. 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
2012
15. 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
16. 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
2010
17. 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
2009
18. 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
19. 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
2008
20. 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
21. 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, 4,  13–16  mathnet  mathscinet  zmath
2007
22. 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
2006
23. 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
24. 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
25. 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
26. 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
2003
27. 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
2001
28. 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
2000
29. 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
1998
30. A. A. Prikhod'ko, V. V. Ryzhikov, “Simple noncommutative counterexamples in joining theory”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, 4,  16–19  mathnet  mathscinet  zmath
1997
31. 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
32. 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
33. V. V. Ryzhikov, “On the asymmetry of cascades”, Trudy MIAN, 216 (1997),  154–157  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 216 (1997), 147–150
1996
34. 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
35. 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
36. 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
37. A. A. Prikhod'ko, V. V. Ryzhikov, “The Rokhlin–Halmos–Alpern maximal lemma”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1996, 3,  37–41  mathnet  mathscinet  zmath
1995
38. 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
39. 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
1994
40. 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
41. 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
1993
42. 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
43. 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
44. 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
1992
45. 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
46. 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
47. 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
1991
48. 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
49. 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
50. 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
1989
51. 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
1988
52. 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
1987
53. V. V. Ryzhikov, V. I. Dmitriev, “Generalization of the Chevalley and von Neumann problems”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1987, 6,  56–57  mathnet  mathscinet  zmath
1985
54. 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

2013
55. 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. Homoclinic groups of ergodic actions
V. V. Ryzhikov
St. Petersburg Seminar on Representation Theory and Dynamical Systems
December 11, 2019 17:00
2. Явный пример перемешивающего преобразования с однородным спектром кратности 2
V. V. Ryzhikov
Dobrushin Mathematics Laboratory Seminar
December 3, 2019 16:00
3. О спектрах гауссовских и пуассоновских действий
V. V. Ryzhikov
Dynamical systems and differential equations
December 2, 2019 18:30
4. Перемешивающие преобразования с алгебраическими надстройками
V. V. Ryzhikov
Dynamical systems and differential equations
November 19, 2018 18:30
5. Перемешивающие потоки со свойством простоты спектра тензорных произведений его элементов
V. V. Ryzhikov
Seminar by Department of Differential Equation, Steklov Mathematical Institute of RAS
December 8, 2017 13:00   
6. Специальные слабые пределы потоков (продолжение доклада)
M. S. Lobanov, V. V. Ryzhikov
Dynamical systems and differential equations
November 13, 2017 18:30
7. Специальные слабые пределы потоков
M. S. Lobanov, V. V. Ryzhikov
Dynamical systems and differential equations
October 9, 2017 18:30
8. 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
9. 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   
10. Минимальные самоприсоединения действий ранга 1
V. V. Ryzhikov
Dynamical systems and differential equations
November 14, 2016 18:30
11. Задача Тувено и слабые пределы потоков
V. V. Ryzhikov
Dynamical systems and differential equations
September 26, 2016 18:30
12. О дизъюнктности динамических систем
V. V. Ryzhikov
Seminar on Theory of Functions of Real Variables
April 22, 2016 18:30
13. Свойство Гордина и другие гомоклинические инварианты динамических систем
V. V. Ryzhikov
Dynamical systems and differential equations
February 15, 2016 18:30
14. Self-joinings in ergodic theory
V. V. Ryzhikov
St. Petersburg Seminar on Representation Theory and Dynamical Systems
October 13, 2010 17:00
15. 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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