Math @ Duke

Papers Published
 Bakhtin Yu.Yu. and Dinaburg E.I. and Sinai Ya.G., On solutions of the NavierStokes system with infinite energy and enstrophy. In memory of A.A.Bolibrukh,
Uspekhi Mat. Nauk, vol. 59 no. 6
(2004),
pp. in print
 Arnold M.D.and Bakhtin Yu. Yu. and Dinaburg E.I., Regularity of solutions to the NavierStokes system on plane,
Uspekhi Mat. Nauk, vol. 59 no. 3
(2004)
 Bakhtin Yu.Yu., Stationary measures for stochastic Gibbsian dynamics,
in Kolmogorov and contemporary mathematics. Abstracts
(2003),
pp. 90
 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. 764768
 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. 3031
 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. 427448
 Bakhtin Yu.Yu., Limit theorems for random solutions of the Burgers equation
(2001)
 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. 815, 86
 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. 727729
 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. 7586
 Bakhtin Yu.Yu., A functional central limit theorem for random solutions of the Burgers equation,
Theory Probab. Appl., vol. 44 no. 3
(1999),
pp. 698699
 Bakhtin Yu., Asymptotic analysis of the Burgers equation with random initial data.,
in Eleventh European Young Statisticians Meeting,MarlyleRoi
(1999),
pp. 1014
 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. 812823
 Bakhtin, Yu. Yu. and Bulinski{\u\i}, A. V., Moment inequalities for sums of dependent multiindexed random variables,
Fundam. Prikl. Mat., vol. 3 no. 4
(1997),
pp. 11011108
Papers Accepted
 Arnold M.D.and Bakhtin Yu. Yu. and Dinaburg E.I., Regularity of Solutions to Vorticity NavierStokes System on $\mathbfR^2.$,
Accepted for publication in Comm. Math. Phys.
(2004)
 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
 Bakhtin Yu. Yu., Existence and uniqueness of stationary solutions for 3D NavierStokes system with small random forcing via stochastic cascades,
Submitted to J. Stat. Phys.
(2004)
 Bakhtin Yu.Yu., Lyapunov Exponents for Stochastic Differential Equations with Infinite Memory. Applications to Stochastic NavierStokes system in 2D,
Submitted to Stoch.Processes App.
(2003)


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