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Tikhonov, Sergei Viktorovich

Statistics Math-Net.Ru
Total publications: 14
Scientific articles: 13
Presentations: 5

Number of views:
This page:1123
Abstract pages:4282
Full texts:1039
References:583
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

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

Publications in Math-Net.Ru
2018
1. S. V. Tikhonov, “Rigidity of Actions with Extreme Deviation from Multiple Mixing”, Mat. Zametki, 103:6 (2018),  912–926  mathnet  elib; Math. Notes, 103:6 (2018), 977–989  isi  scopus
2015
2. 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
2014
3. 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
2012
4. 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
5. S. V. Tikhonov, “Bernoulli shifts and local density property”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, 1,  31–37  mathnet  mathscinet; Moscow University Mathematics Bulletin, 67:1 (2012), 29–35  scopus
2011
6. 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
7. 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
2007
8. 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
9. 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. 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
2006
11. 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
12. 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
2002
13. 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

14. 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. 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   
2. Свойства перемешивающих действий
S. V. Tikhonov
Dynamical systems and differential equations
October 31, 2016 18:30
3. Кратное перемешивание, системы Ледраппье и централизатор сохраняющего меру преобразования (продолжение доклада)
S. V. Tikhonov
Dynamical systems and statistical physics
March 9, 2016 18:30
4. Кратное перемешивание, системы Ледраппье и централизатор сохраняющего меру преобразования
S. V. Tikhonov
Dynamical systems and statistical physics
March 2, 2016 18:30
5. 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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