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Publications in Math-Net.Ru |
Citations |
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2024 |
| 1. |
V. V. Ryzhikov, “Non-commuting automorphisms with non-convergent ergodic averages”, Algebra i Analiz, 36:6 (2024), 122–128  |
| 2. |
Valerii Ryzhikov, Jean-Paul Thouvenot, “Quasi-similarity, entropy and disjointness of ergodic actions”, Funktsional. Anal. i Prilozhen., 58:1 (2024), 117–124 ; Funct. Anal. Appl., 58:1 (2024), 90–96  |
1
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| 3. |
V. V. Ryzhikov, “Generic correlations and ergodic averages for strongly and mildly mixing automorphisms”, Mat. Zametki, 116:3 (2024), 438–444 ; Math. Notes, 116:3 (2024), 521–526 |
| 4. |
V. V. Ryzhikov, “Polynomial rigidity and the spectra of Sidon automorphisms”, Mat. Sb., 215:7 (2024), 138–152  ; Sb. Math., 215:7 (2024), 993–1006 |
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2023 |
| 5. |
V. V. Ryzhikov, “Self-joinings and generic extensions of ergodic systems”, Funktsional. Anal. i Prilozhen., 57:3 (2023), 74–88 ; Funct. Anal. Appl., 57:3 (2023), 236–247 |
1
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| 6. |
V. V. Ryzhikov, “Slow Convergences of Ergodic Averages”, Mat. Zametki, 113:5 (2023), 742–746 ; Math. Notes, 113:5 (2023), 704–707 |
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| 7. |
V. V. Ryzhikov, “Spectra of Self-Similar Ergodic Actions”, Mat. Zametki, 113:2 (2023), 273–282 ; Math. Notes, 113:2 (2023), 274–281 |
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| 8. |
V. V. Ryzhikov, “Generic extensions of ergodic systems”, Mat. Sb., 214:10 (2023), 98–115 ; Sb. Math., 214:10 (2023), 1442–1457  |
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2022 |
| 9. |
V. V. Ryzhikov, “Tensor simple spectrum of unitary flows”, Funktsional. Anal. i Prilozhen., 56:4 (2022), 113–117 ; Funct. Anal. Appl., 56:4 (2022), 327–330 |
| 10. |
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 ; Funct. Anal. Appl., 56:3 (2022), 225–228 |
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2021 |
| 11. |
V. V. Ryzhikov, “Compact families and typical entropy invariants of measure-preserving actions”, Tr. Mosk. Mat. Obs., 82:1 (2021), 137–145 ; Trans. Moscow Math. Soc., 82 (2021), 117–123 |
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| 12. |
V. V. Ryzhikov, “Mixing Sets for Rigid Transformations”, Mat. Zametki, 110:4 (2021), 576–583  ; Math. Notes, 110:4 (2021), 565–570 |
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2020 |
| 13. |
V. V. Ryzhikov, “Measure-preserving rank one transformations”, Tr. Mosk. Mat. Obs., 81:2 (2020), 281–318 ; Trans. Moscow Math. Soc., 81:2 (2020), 229–259 |
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2019 |
| 14. |
V. V. Ryzhikov, “Weakly homoclinic groups of ergodic actions”, Tr. Mosk. Mat. Obs., 80:1 (2019), 97–111 ; Trans. Moscow Math. Soc., 80 (2019), 83–94 |
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| 15. |
V. V. Ryzhikov, “Weak Closure of Infinite Actions of Rank 1, Joinings, and Spectrum”, Mat. Zametki, 106:6 (2019), 894–903 ; Math. Notes, 106:6 (2019), 957–965 |
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2018 |
| 16. |
V. V. Ryzhikov, “Thouvenot's Isomorphism Problem for Tensor Powers of Ergodic Flows”, Mat. Zametki, 104:6 (2018), 912–917 ; Math. Notes, 104:6 (2018), 900–904 |
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| 17. |
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 ; Sb. Math., 209:5 (2018), 660–671 |
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2017 |
| 18. |
I. V. Klimov, V. V. Ryzhikov, “Minimal Self-Joinings of Infinite Mixing Actions of Rank 1”, Mat. Zametki, 102:6 (2017), 851–856 ; Math. Notes, 102:6 (2017), 787–791 |
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2016 |
| 19. |
V. V. Ryzhikov, A. E. Troitskaya, “Mixing flows with homogeneous spectrum of multiplicity $2$”, Fundam. Prikl. Mat., 21:5 (2016), 191–197 ; J. Math. Sci., 248:5 (2020), 642–646 |
| 20. |
A. Yu. Kushnir, V. V. Ryzhikov, “Weak Closures of Ergodic Actions”, Mat. Zametki, 100:6 (2016), 847–854 ; Math. Notes, 101:2 (2017), 277–283 |
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2015 |
| 21. |
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 ; Funct. Anal. Appl., 49:3 (2015), 230–233 |
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2014 |
| 22. |
V. V. Ryzhikov, “Ergodic homoclinic groups, Sidon constructions and Poisson suspensions”, Tr. Mosk. Mat. Obs., 75:1 (2014), 93–103 ; Trans. Moscow Math. Soc., 75 (2014), 77–85 |
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| 23. |
V. V. Ryzhikov, “On the Asymmetry of Multiple Asymptotic Properties of Ergodic Actions”, Mat. Zametki, 96:3 (2014), 432–439  ; Math. Notes, 96:3 (2014), 416–422 |
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| 24. |
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 ; Math. Notes, 96:3 (2014), 360–368 |
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2013 |
| 25. |
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 ; Funct. Anal. Appl., 47:1 (2013), 76–79 |
1
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| 26. |
V. V. Ryzhikov, “Bounded ergodic constructions, disjointness, and weak limits of powers”, Tr. Mosk. Mat. Obs., 74:1 (2013), 201–208 ; Trans. Moscow Math. Soc., 74 (2013), 165–171 |
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2012 |
| 27. |
V. V. Ryzhikov, “Simple spectrum of the tensor product of powers of a mixing automorphism”, Tr. Mosk. Mat. Obs., 73:2 (2012), 229–239 ; Trans. Moscow Math. Soc., 73 (2012), 183–191 |
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| 28. |
V. V. Ryzhikov, “Spectral multiplicity for powers of weakly mixing automorphisms”, Mat. Sb., 203:7 (2012), 149–160 ; Sb. Math., 203:7 (2012), 1065–1076 |
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2010 |
| 29. |
A. I. Danilenko, V. V. Ryzhikov, “Spectral Multiplicities of Infinite Measure Preserving Transformations”, Funktsional. Anal. i Prilozhen., 44:3 (2010), 1–13 ; Funct. Anal. Appl., 44:3 (2010), 161–170 |
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2009 |
| 30. |
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 ; Funct. Anal. Appl., 43:2 (2009), 155–157 |
4
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| 31. |
V. V. Ryzhikov, “Spectral multiplicities and asymptotic operator properties of actions with invariant measure”, Mat. Sb., 200:12 (2009), 107–120 ; Sb. Math., 200:12 (2009), 1833–1845 |
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2008 |
| 32. |
V. V. Ryzhikov, “Self-Joinings of Commutative Actions with Invariant Measure”, Mat. Zametki, 83:5 (2008), 792–795 ; Math. Notes, 83:5 (2008), 723–726 |
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| 33. |
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 |
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2007 |
| 34. |
V. V. Ryzhikov, “Weak limits of powers, simple spectrum of
symmetric products, and rank-one mixing constructions”, Mat. Sb., 198:5 (2007), 137–159 ; Sb. Math., 198:5 (2007), 733–754 |
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2006 |
| 35. |
V. V. Ryzhikov, J. Thouvenot, “Disjointness, Divisibility, and Quasi-Simplicity of Measure-Preserving Actions”, Funktsional. Anal. i Prilozhen., 40:3 (2006), 85–89 ; Funct. Anal. Appl., 40:3 (2006), 237–240 |
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| 36. |
V. V. Ryzhikov, A. E. Troitskaya, “Tensor roots of isomorphisms and weak limits of transformations”, Mat. Zametki, 80:4 (2006), 596–600 ; Math. Notes, 80:4 (2006), 563–566 |
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| 37. |
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 ; Math. Notes, 79:6 (2006), 864–868 |
3
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| 38. |
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 ; Russian Math. Surveys, 61:4 (2006), 786–787 |
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2003 |
| 39. |
V. V. Ryzhikov, “Partial Multiple Mixing on Subsequences May Distinguish between Automorphisms $T$ and $T^{-1}$”, Mat. Zametki, 74:6 (2003), 889–895 ; Math. Notes, 74:6 (2003), 841–847 |
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2001 |
| 40. |
V. V. Ryzhikov, “On the Ranks of an Ergodic Automorphism $T\times T$”, Funktsional. Anal. i Prilozhen., 35:2 (2001), 84–87 ; Funct. Anal. Appl., 35:2 (2001), 151–153 |
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2000 |
| 41. |
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 ; Funct. Anal. Appl., 34:1 (2000), 73–75 |
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1998 |
| 42. |
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 |
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1997 |
| 43. |
V. V. Ryzhikov, “Polymorphisms, Joinings, and the Tensor Simplicity of Dynamical Systems”, Funktsional. Anal. i Prilozhen., 31:2 (1997), 45–57 ; Funct. Anal. Appl., 31:2 (1997), 109–118 |
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| 44. |
V. V. Ryzhikov, “Intertwinings of tensor products, and the stochastic centralizer of dynamical systems”, Mat. Sb., 188:2 (1997), 67–94 ; Sb. Math., 188:2 (1997), 237–263 |
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| 45. |
V. V. Ryzhikov, “On the asymmetry of cascades”, Trudy Mat. Inst. Steklova, 216 (1997), 154–157 ; Proc. Steklov Inst. Math., 216 (1997), 147–150 |
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1996 |
| 46. |
V. V. Ryzhikov, “Cohomology Relation for Cocycles that Correspond to Ergodic Skew Products”, Funktsional. Anal. i Prilozhen., 30:1 (1996), 84–86 ; Funct. Anal. Appl., 30:1 (1996), 64–66 |
| 47. |
V. V. Ryzhikov, “Even and odd primality of dynamical systems with invariant measure”, Mat. Zametki, 60:3 (1996), 470–473 ; Math. Notes, 60:3 (1996), 353–356 |
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| 48. |
V. V. Ryzhikov, “The isomorphism of measure-preserving transformations with isomorphic Cartesian powers is typical”, Mat. Zametki, 59:4 (1996), 630–632 ; Math. Notes, 59:4 (1996), 453–456 |
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| 49. |
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 |
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1995 |
| 50. |
V. V. Ryzhikov, “Multiple Mixing and Local Rank of Dynamical Systems”, Funktsional. Anal. i Prilozhen., 29:2 (1995), 88–91 ; Funct. Anal. Appl., 29:2 (1995), 143–145 |
| 51. |
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 ; Russian Math. Surveys, 50:6 (1995), 1304–1305 |
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1994 |
| 52. |
V. V. Ryzhikov, “The absence of mixing in special flows over rearrangements of segments”, Mat. Zametki, 55:6 (1994), 146–149 ; Math. Notes, 55:6 (1994), 648–650 |
1
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| 53. |
V. V. Ryzhikov, “Skew products and multiple mixing of dynamical systems”, Uspekhi Mat. Nauk, 49:2(296) (1994), 163–164 ; Russian Math. Surveys, 49:2 (1994), 170–171 |
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1993 |
| 54. |
V. V. Ryzhikov, “Joinings and Multiple Mixing of Finite Rank Actions”, Funktsional. Anal. i Prilozhen., 27:2 (1993), 63–78 ; Funct. Anal. Appl., 27:2 (1993), 128–140 |
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| 55. |
V. V. Ryzhikov, “Joinings, intertwining operators, factors, and mixing properties of dynamical systems”, Izv. RAN. Ser. Mat., 57:1 (1993), 102–128 ; Russian Acad. Sci. Izv. Math., 42:1 (1994), 91–114 |
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| 56. |
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 ; Math. Notes, 54:2 (1993), 821–824 |
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1992 |
| 57. |
V. V. Ryzhikov, “Stochastic intertwinings and joinings of dynamic systems”, Mat. Zametki, 52:3 (1992), 130–140 ; Math. Notes, 52:3 (1992), 971–978 |
| 58. |
V. V. Ryzhikov, “An estimate of the entropy of a class of $Z^2$-actions”, Mat. Zametki, 51:2 (1992), 152–155 ; Math. Notes, 51:2 (1992), 215–218 |
2
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| 59. |
V. V. Ryzhikov, “Mixing, rank, and minimal self-joining of actions with an invariant measure”, Mat. Sb., 183:3 (1992), 133–160 ; Russian Acad. Sci. Sb. Math., 75:2 (1993), 405–427 |
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1991 |
| 60. |
V. V. Ryzhikov, “Nonisomorphic full automorphism groups of nonseparable measure spaces”, Mat. Zametki, 50:4 (1991), 152–154 ; Math. Notes, 50:4 (1991), 1087–1088 |
| 61. |
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 ; Math. Notes, 49:6 (1991), 621–627 |
5
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| 62. |
V. V. Ryzhikov, “Joinings of dynamical systems. Approximations and mixing”, Uspekhi Mat. Nauk, 46:5(281) (1991), 177–178 ; Russian Math. Surveys, 46:5 (1991), 199–200 |
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1989 |
| 63. |
V. V. Ryzhikov, “A note on multiple mixing”, Uspekhi Mat. Nauk, 44:1(265) (1989), 205–206 ; Russian Math. Surveys, 44:1 (1989), 251–252 |
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1988 |
| 64. |
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 ; Math. Notes, 44:2 (1988), 596–600 |
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1987 |
| 65. |
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 |
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1985 |
| 66. |
V. V. Ryzhikov, “Representation of transformations preserving the lebesgue measure in the form of periodic transformations”, Mat. Zametki, 38:6 (1985), 860–865 ; Math. Notes, 38:6 (1985), 978–981 |
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2022 |
| 67. |
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 ; Russian Math. Surveys, 77:2 (2022), 361–367 |
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2013 |
| 68. |
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 ; Russian Math. Surveys, 68:4 (2013), 783–788 |
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| Presentations in Math-Net.Ru |
| 1. |
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
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| 2. |
Меры динамического происхождения с экзотическими свойствами
V. V. Ryzhikov
Seminar on Theory of Functions of Real Variables
April 7, 2023 18:30
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| 3. |
Generic extensions of ergodic systems
V. V. Ryzhikov
International conference “Ergodic Theory and Related Topics”
November 25, 2022 11:00
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| 4. |
Joining algebra
V. V. Ryzhikov
Seminar "Complex analysis in several variables" (Vitushkin Seminar)
November 23, 2022 16:45
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| 5. |
Entropy invariants of generic measure-preserving actions
V. V. Ryzhikov
Mathematical Physics, Dynamical Systems and Infinite-Dimensional
Analysis – 2021
July 2, 2021 12:15
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| 6. |
Homoclinic groups of ergodic actions
V. V. Ryzhikov
St. Petersburg Seminar on Representation Theory and Dynamical Systems
December 11, 2019 17:00
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| 7. |
Явный пример перемешивающего преобразования с однородным спектром кратности 2
V. V. Ryzhikov
Dobrushin Mathematics Laboratory Seminar
December 3, 2019 16:00
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| 8. |
О спектрах гауссовских и пуассоновских действий
V. V. Ryzhikov
Dynamical systems and differential equations
December 2, 2019 18:30
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| 9. |
Перемешивающие преобразования с алгебраическими надстройками
V. V. Ryzhikov
Dynamical systems and differential equations
November 19, 2018 18:30
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| 10. |
Перемешивающие потоки со свойством простоты спектра тензорных произведений его элементов
V. V. Ryzhikov
Seminar "Optimal Control and Dynamical Systems"
December 8, 2017 13:00
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| 11. |
Специальные слабые пределы потоков (продолжение доклада)
M. S. Lobanov, V. V. Ryzhikov
Dynamical systems and differential equations
November 13, 2017 18:30
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| 12. |
Специальные слабые пределы потоков
M. S. Lobanov, V. V. Ryzhikov
Dynamical systems and differential equations
October 9, 2017 18:30
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| 13. |
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
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| 14. |
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
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| 15. |
Минимальные самоприсоединения действий ранга 1
V. V. Ryzhikov
Dynamical systems and differential equations
November 14, 2016 18:30
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| 16. |
Задача Тувено и слабые пределы потоков
V. V. Ryzhikov
Dynamical systems and differential equations
September 26, 2016 18:30
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| 17. |
О дизъюнктности динамических систем
V. V. Ryzhikov
Seminar on Theory of Functions of Real Variables
April 22, 2016 18:30
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| 18. |
Свойство Гордина и другие гомоклинические инварианты динамических систем
V. V. Ryzhikov
Dynamical systems and differential equations
February 15, 2016 18:30
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| 19. |
Self-joinings in ergodic theory
V. V. Ryzhikov
St. Petersburg Seminar on Representation Theory and Dynamical Systems
October 13, 2010 17:00
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| 20. |
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
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