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Tikhonov, Sergei Viktorovich

Statistics Math-Net.Ru
Total publications: 18
Scientific articles: 16
Talks: 6

Number of views:
This page:3803
Abstract pages:15766
Full texts:7335
Talk pages:3968
Video records:369
Associate professor
Doctor of physico-mathematical sciences (2014)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
E-mail:
Keywords: measure-preserving transformations, mixing actions, leash-topology
UDC: 517.987.5, 517.938.5, 517.938, 517.987
MSC: 28D15, 37A05, 37A15

Subject:

Generic measure-preserving transformations, category-preserving maps, generic mixing actions, spectral multiplicity

   
Main publications:
  1. S. V. Tikhonov, “Vlozheniya deistvii reshetki v potoki s mnogomernym vremenem”, Matem. sb., 197:1 (2006), 97–132
  2. S. V. Tikhonov, “Polnaya metrika na mnozhestve peremeshivayuschikh preobrazovanii”, Matem. sb., 198:4 (2007), 135–158  mathnet  crossref  mathscinet  zmath; Sb. Math., 198:4 (2007), 575–596  crossref  isi
  3. S. V. Tikhonov, “Peremeshivayuschie preobrazovaniya s odnorodnym spektrom”, Matem. sb., 202:8 (2011), 139–160  mathnet  crossref  mathscinet  zmath; Sb. Math., 202:8 (2011), 1231–1252  crossref  isi

https://www.mathnet.ru/eng/person20304
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/713734

Publications in Math-Net.Ru Citations
2025
1. S. V. Tikhonov, “Mixing actions of locally compact groups”, Mat. Zametki, 117:4 (2025),  561–574  mathnet  mathscinet; Math. Notes, 117:4 (2025), 617–628  isi  scopus 1
2021
2. S. V. Tikhonov, “A violation of multiple mixing close to an extremal”, Tr. Mosk. Mat. Obs., 82:1 (2021),  205–215  mathnet; Trans. Moscow Math. Soc., 82 (2021), 173–181  scopus 2
2020
3. S. V. Tikhonov, “Multiple Mixing with Respect to Noncoinciding Sets”, Trudy Mat. Inst. Steklova, 308 (2020),  243–252  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 308 (2020), 229–237  isi  scopus
2018
4. S. V. Tikhonov, “Rigidity of Actions with Extreme Deviation from Multiple Mixing”, Mat. Zametki, 103:6 (2018),  912–926  mathnet  mathscinet  elib; Math. Notes, 103:6 (2018), 977–989  isi  scopus 2
2015
5. S. V. Tikhonov, “On the Absence of Multiple Mixing and on the Centralizer of Measure-Preserving Actions”, Mat. Zametki, 97:4 (2015),  636–640  mathnet  mathscinet  zmath  elib; Math. Notes, 97:4 (2015), 652–656  isi  scopus 4
2014
6. S. V. Tikhonov, “Approximation of Mixing Transformations”, Mat. Zametki, 95:2 (2014),  282–299  mathnet  mathscinet  elib; Math. Notes, 95:2 (2014), 255–269  isi  elib  scopus 7
2012
7. S. V. Tikhonov, “Genericity of a multiple mixing”, Uspekhi Mat. Nauk, 67:4(406) (2012),  187–188  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 67:4 (2012), 779–780  isi  elib  scopus 6
8. S. V. Tikhonov, “Bernoulli shifts and local density property”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 1,  31–37  mathnet  mathscinet; Moscow University Mathematics Bulletin, 67:1 (2012), 29–35  scopus
2011
9. S. V. Tikhonov, “A Note on Rochlin's Property in the Space of Mixing Transformations”, Mat. Zametki, 90:6 (2011),  953–954  mathnet  mathscinet; Math. Notes, 90:6 (2011), 925–926  isi  scopus 2
10. S. V. Tikhonov, “Mixing transformations with homogeneous spectrum”, Mat. Sb., 202:8 (2011),  139–160  mathnet  mathscinet  zmath  elib; Sb. Math., 202:8 (2011), 1231–1252  isi  scopus 17
2007
11. A. M. Stepin, S. V. Tikhonov, “Remarks on Isorigidity, Centralizers, and Spectral Equivalence in Ergodic Theory”, Mat. Zametki, 81:2 (2007),  314–316  mathnet  mathscinet  zmath  elib; Math. Notes, 81:2 (2007), 278–280  isi  elib  scopus 1
12. S. V. Tikhonov, “Total metric on the set of mixing transformations”, Uspekhi Mat. Nauk, 62:1(373) (2007),  209–210  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 62:1 (2007), 193–195  isi  elib  scopus 10
13. S. V. Tikhonov, “A complete metric in the set of mixing transformations”, Mat. Sb., 198:4 (2007),  135–158  mathnet  mathscinet  zmath  elib; Sb. Math., 198:4 (2007), 575–596  isi  elib  scopus 25
2006
14. 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
15. S. V. Tikhonov, “Embedding lattice actions in flows with multidimensional time”, Mat. Sb., 197:1 (2006),  97–132  mathnet  mathscinet  zmath  elib; Sb. Math., 197:1 (2006), 95–126  isi  elib  scopus 19
2002
16. S. V. Tikhonov, “On relation of measure-theoretic and special properties of $\mathbb Z^d$-actions”, Fundam. Prikl. Mat., 8:4 (2002),  1179–1192  mathnet  mathscinet  zmath  elib 2

2022
17. 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
2002
18. S. V. Tikhonov, “Correction to the article "On relation of measure-theoretic and special properties of $\mathbb{Z}^{d}$-actions" (Fundamental and Applied Mathematics, 2002, V. 8, no. 4, 1179-1192)”, Fundam. Prikl. Mat., 8:4 (2002),  1272  mathnet  zmath

Presentations in Math-Net.Ru
1. Dynamical systems and transformation groups: entropy, mixing, spectra and generic properties
A. M. Stepin, S. V. Tikhonov
Steklov Mathematical Institute Seminar
February 20, 2020 16:00   
2. Generic mixing actions
Sergey Tikhonov
International Conference “Anosov Systems and Modern Dynamics” dedicated to the 80th anniversary of Dmitry Anosov
December 23, 2016 09:30   
3. Свойства перемешивающих действий
S. V. Tikhonov
Dynamical systems and differential equations
October 31, 2016 18:30
4. Кратное перемешивание, системы Ледраппье и централизатор сохраняющего меру преобразования (продолжение доклада)
S. V. Tikhonov
Dynamical systems and statistical physics
March 9, 2016 18:30
5. Кратное перемешивание, системы Ледраппье и централизатор сохраняющего меру преобразования
S. V. Tikhonov
Dynamical systems and statistical physics
March 2, 2016 18:30
6. Typicalness, Limiting Behavior and Spectral Properties of Dynamic Systems
S. V. Tikhonov
Dobrushin Mathematics Laboratory Seminar
September 24, 2013 16:00

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