Yuri Bakhtin: Publications

1. Yuri Bakhtin, Existence and uniqueness of stationary solutions for 3D Navier-Stokes system with small random forcing via stochastic cascades. --- submitted, submitted, 2004 [statsolu.pdf]
2. Maxim Arnold, Yuri Bakhtin, Efim Dinaburg, Regularity of Solutions to Vorticity Navier-Stokes System on plane, submitted, 2004 [ns_plane_cmp-final.pdf]
3. Maxim Arnold, Yuri Bakhtin, Efim Dinaburg, Regularity of Solutions to Navier-Stokes System on plane, submitted, 2004
4. Yuri Bakhtin, Lyapunov Exponents for Stochastic Differential Equations with Infinite Memory. Applications to Stochastic Navier-Stokes system in 2D, submitted, 2003 [lyapunov_spec_SDEM_SPA.pdf]
5. Yuri Bakhtin and Jonathan C. Mattingly, Stationary Solutions of Stochastic Differential Equations with Memory and Stochastic Partial Differential Equations, submitted 2003, [gibbsianSDE.pdf]
6. Yuri Bakhtin, Existence and uniqueness of stationary solutions of nonlinear stochastic differential equation with memory. --- Theory Probab. Appl., 2002, v.47, no.4, p.764-769
7. Yuri Bakhtin, A functional central limit theorem for transformed solutions of the multidimensional Burgers equation with random initial data. --- Theory Probab. Appl., 2001, v.46, no.3, p.21--44
8. Yuri Bakhtin, Stationary measures for stochastic Gibbsian dynamics. In: Kolmogorov and contemporary mathematics. Abstracts. MSU, Moscow, 2003, p.390
9. Yuri Bakhtin, Limit theorems for random solutions of the Burgers equation. Ph.D.Thesis. MSU, Moscow, 2001
10. Yuri Bakhtin, A functional central limit theorem for parabolically rescaled random solutions of the Burgers equation. In: Abstracts of XXI Seminar on Stability Problems of Stochastic Models, Eger, 2001, p. 30-31
11. Bakhtin Yu.Yu., Chervonenkis, A.Ya., Kantsel, A.V., Danilov, A.V. A method of reconstruction of a conditional distribution field. --- Avtomatika i telemechanika (Automation and Remote Control), 2000, no.12, p.75--86
12. Yuri Bakhtin, A functional central limit theorem for transformed solutions of the multidimensional Burgers equation with random initial data. --- Doklady Rossiiskoi Akademii Nauk, 2000, v.372, no.6. p.5--7
13. Yuri Bakhtin, A functional central limit theorem for a solution of the Burgers equation with the initial data given by an associated random measure. --- Vestnik Moskovskogo Universiteta, Ser.1, 2000, no.6, p.8--15
14. Yuri Bakhtin, A functional central limit theorem for random solutions of the Burgers equation. --- Theory Probab. Appl, 1999, v.\,44, no.\,3, p.\,698--699
15. Yuri Bakhtin, Asymptotic analysis of the Burgers equation with random initial data. --- In: Eleventh European Young Statisticians Meeting, Marly-le-Roi,1999, p.10--14
16. Yuri Bakhtin, A law of the iterated logarithm for a solution of the Burgers equation with random data. --- Matematicheskie Zametki, 1998, v.64, no.6, p.812-823
17. Yuri Bakhtin, Alexander V. Bulinski, Moment inequalities for sums of dependent multiindexed random variables. --- Fundamentalnaya i prikladnaya matematika, 1997, v.3 no.4, p.1101--1108