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Sergey B. Tikhomirov
Sergey B. Tikhomirov
Associate Professor, Coordinator of Industrial Relations
Contacts:

29 Line 14th (Vasilyevsky Island), 199178 Saint Petersburg, Russia

sergey.tikhomirov@gmail.com

https://sites.google.com/site/sergeytikhomirov/

Reception hours:

By appointment


Education

2016 — Habilitation
Institution: University of Leipzig
Thesis title: Quantitative Properties of Infinite and Finite Pseudotrajectories
Committee Chair: S. Luckhaus

2016 — D.Sc. in Mathematics and Physics («Differential Equations, Dynamical Systems and Optimal Control»)
Institution: Institute for Information Transmission Problems RAS
Thesis title: Dynamical Systems with Various Shadowing Properties
Committee Chair: Ya.G. Sinai

2009 — Ph.D. (C.Sc.) in Mathematics and Physics («Differential Equations»)
Institution: St. Petersburg State University
Thesis title: Shadowing of Pseudotrajectories in Smooth Flows
Advisor: S.Yu. Pilyugin

2005 — M.Sc. in Mathematics
Institution: Saint Petersburg State University


Scientific interests

  • dynamical systems

Publications

7 Shaobo Gan, Ming Li, Sergey B. Tikhomirov, Oriented shadowing property and $Ω$-­stability for vector fields, Journal of Dynamics and Differential Equations, 28:1 (2016), 225-237; preprint (2014).
6 Sergey Tikhomirov, An example of a vector field with the oriented shadowing property, Journal of Dynamics and Control Systems, 21:4 (2015), 643­-654; preprint (2014).
5 Sergey Tikhomirov, Holder Shadowing on Finite Intervals, Ergodic Theory and Dynamical Systems, 35:6 (2015), 2000­-2016; preprint (2011).
4 Sergey Tikhomirov, Shadowing in linear skew products, Записки научных семинаров ПОМИ, 472 (2015), 261-273 ; preprint (2014).
3 Alexey Osipov, Sergey Tikhomirov, Shadowing for actions of some finitely generated groups, Dynamical Systems, 29:3 (2014), 337-351; preprint (2013).
2 Pavel Gurevich, Sergey Tikhomirov, Systems of reaction-diffusion equations with spatially distributed hysteresis, Mathematica Bohemica, 139:2 (2014), 239-257; preprint (2012).
1 Sergey Kryzhevich, Sergey Tikhomirov, Partial hyperbolicity and central shadowing, Discrete and Continuous Dynamical Systems - Series A, 33:7 (2013), 2901-2909; preprint (2011).