Publications of Yuri Bakhtin    :chronological  alphabetical  combined  bibtex listing:

Papers Published

1. Bakhtin Yu.Yu. and Dinaburg E.I. and Sinai Ya.G., On solutions of the Navier-Stokes system with infinite energy and enstrophy. In memory of A.A.Bolibrukh, Uspekhi Mat. Nauk, vol. 59 no. 6 (2004), pp. in print
2. Arnold M.D.and Bakhtin Yu. Yu. and Dinaburg E.I., Regularity of solutions to the Navier--Stokes system on plane, Uspekhi Mat. Nauk, vol. 59 no. 3 (2004)
3. Bakhtin Yu.Yu., Stationary measures for stochastic Gibbsian dynamics, in Kolmogorov and contemporary mathematics. Abstracts (2003), pp. 90
4. Bakhtin, Yu. Yu., Existence and uniqueness of the stationary solution of a nonlinear stochastic differential equation with memory, Teor. Veroyatnost. i Primenen., vol. 47 no. 4 (2002), pp. 764--768
5. Bakhtin Yu., 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), pp. 30-31
6. Bakhtin, Yu. Yu., A functional central limit theorem for transformed solutions of the multidimensional Burgers equation with random initial data, Teor. Veroyatnost. i Primenen., vol. 46 no. 3 (2001), pp. 427--448
7. Bakhtin Yu.Yu., Limit theorems for random solutions of the Burgers equation (2001)
8. Bakhtin, Yu. Yu., The functional central limit theorem for solutions of the multidimensional Burgers equation with initial data specified by an associated random measure, Vestnik Moskov. Univ. Ser. I Mat. Mekh. no. 6 (2000), pp. 8--15, 86
9. Bakhtin, Yu. Yu., A functional central limit theorem for transformed solutions of the multidimensional Burgers equation with random initial data, Dokl. Akad. Nauk, vol. 372 no. 6 (2000), pp. 727--729
10. Bakhtin, Yu. Yu. and Danilov, A. V. and Kantsel{\cprime}, A. V. and Chervonenkis, A. Ya., A method for the restoration of a field of conditional distributions from empirical data, Avtomat. i Telemekh. no. 12 (2000), pp. 75--86
11. Bakhtin Yu.Yu., A functional central limit theorem for random solutions of the Burgers equation, Theory Probab. Appl., vol. 44 no. 3 (1999), pp. 698-699
12. Bakhtin Yu., Asymptotic analysis of the Burgers equation with random initial data., in Eleventh European Young Statisticians Meeting,Marly-le-Roi (1999), pp. 10-14
13. Bakhtin, Yu. Yu., The law of the iterated logarithm for solutions of the Burgers equation with random initial data, Mat. Zametki, vol. 64 no. 6 (1998), pp. 812--823
14. Bakhtin, Yu. Yu. and Bulinski{\u\i}, A. V., Moment inequalities for sums of dependent multi-indexed random variables, Fundam. Prikl. Mat., vol. 3 no. 4 (1997), pp. 1101--1108

Papers Accepted

1. Arnold M.D.and Bakhtin Yu. Yu. and Dinaburg E.I., Regularity of Solutions to Vorticity Navier--Stokes System on $\mathbfR^2.$, Accepted for publication in Comm. Math. Phys. (2004)
2. Bakhtin Yu.Yu. and Mattingly J.C., Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations, Accepted for publication in Commun. Contemp. Math (2004)

Papers Submitted

1. Bakhtin Yu. Yu., Existence and uniqueness of stationary solutions for 3D Navier-Stokes system with small random forcing via stochastic cascades, Submitted to J. Stat. Phys. (2004)
2. Bakhtin Yu.Yu., Lyapunov Exponents for Stochastic Differential Equations with Infinite Memory. Applications to Stochastic Navier-Stokes system in 2D, Submitted to Stoch.Processes App. (2003)