Speciality:
01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
15.09.1961
E-mail: ,
Keywords: averaging,
fast and slow motions,
large deviations,
entropy,
equilibrium states,
weighted shift operator,
Legendre transform.

Subject:

averaging principle in systems with fast and slow motions,
large deviations in stochastic processes,
hyperbolic dynamical systems,
thermodynamic formalism and variational principles in dynamical systems.

Main publications:

Bakhtin V. I., “Averaging in multifrequency systems”, Funct. Anal. Appl., 20 (1986), 83–88

Bakhtin V. I., “Cramér asymptotics in a system with slow and fast Markovian motions”, Theory Probab. Appl., 44:1 (1999), 1–17

Bakhtin V. I., Kifer Yu., “Diffusion approximation for slow motion in fully coupled averaging”, Probability theory and related fields, 129 (2004), 157–181

Bakhtin V. I., “Positive processes”, Ergodic theory and dynamical systems, 27 (2007), 639–670

Antonevich A. B., Bakhtin V. I., Lebedev A. V., “On $t$-entropy and variational principle for the spectral radius of transfer and weighted shift operators”, Ergodic theory and dynamical systems, 31 (2011), 995–1042