Yuri Bakhtin. JPG Image 61485B

Yuri Bakhtin

Assistant Professor

267 Skiles Building
School of Mathematics
Georgia Institute of Technology
Atlanta, Georgia 30332

Email:Yuri Bakhtin's email - PNG Image

Office phone: (404)-894-9235

Office hours: by appointment

Research interests: random dynamics, probabilistic models of mathematical physics

Teaching:

Fall 2008: Math 7245 Stochastic Processes and Stochastic Calculus II

Spring 2008: Math 7244 Stochastic Processes and Stochastic Calculus I, Math 4221 Stochastic Processes I

Fall 2007: Math 7245 Stochastic Processes and Stochastic Calculus II

Spring 2007: Math 7244 Stochastic Processes and Stochastic Calculus I

Fall 2006: Math 6242 Probability II

Curriculum Vitae

AWARDS/GRANTS

SLIDES FROM RECENT PRESENTATIONS IN PDF

BIBLIOGRAPHY
  1. Bakhtin Yu., Noisy heteroclinic networks, http://arxiv.org/abs/0712.3952 --- submitted
  2. Bakhtin Yu., Heitsch C.E. Large deviations for random trees, http://arxiv.org/abs/0712.2253 --- accepted at J. Stat. Phys.
  3. Bakhtin Yu., Heitsch C.E. Large deviations for random trees and the branching of RNA secondary structures, http://arxiv.org/abs/0803.3990--- submitted
  4. Bakhtin Yu., Martinez M. A characterization of harmonic measures on laminations by hyperbolic Riemann Surfaces, math.DS/0611235 --- Accepted at Ann. Inst. H. Poincare Probab. Statist.
  5. Bakhtin Yu. Exit asymptotics for small diffusion about an unstable equilibrium math.PR/0701569 --- Stoch. Proc. Appl., 118 (2008), 839-851.
  6. Bakhtin Yu., Mattingly J. C. Malliavin calculus for infinite-dimensional systems with additive noise, math.PR/0610754 --- Journal of Functional Analysis, Volume 249, Issue 2, Pages 307-353.
  7. Bakhtin Yu. Burgers equation with random boundary conditions, -- Proc. Amer. Math. Soc. 135 (2007), 2257-2262.
  8. Bakhtin Yu. Existence and uniqueness of stationary solutions for 3D Navier-Stokes system with small random forcing via stochastic cascades. -- J. Stat. Phys., 2006, v.122, no.2, p.351--360.
  9. Bakhtin Yu. Lyapunov exponents for stochastic differential equations with infinite memory. Applications to stochastic Navier-Stokes system in 2D. -- Discrete Contin. Dyn. Syst. Ser. B, 2006, v.6, no.4, p.697--709
  10. Bakhtin Yu., Mattingly J.C. Stationary solutions of stochastic differential equations with memory and stochastic partial differential equations. -- Commun. Contemp. Math., 2005, v.7, no.5, p.553 - 582
  11. Arnold M.D., Bakhtin Yu. Yu., Dinaburg E.I. Regularity of Solutions to Vorticity Navier-Stokes System on $\mathbf{R}^2.$ -- Comm. Math. Phys., 2005, v. 258, no. 2, p.339 - 348
  12. Bakhtin Yu.Yu., Dinaburg E.I., Sinai Ya.G. On solutions of the Navier-Stokes system with infinite energy and enstrophy. In memory of A.A.Bolibrukh, -- Uspekhi Mat. Nauk, 2004, v.59, no.6, p.55-72
  13. Arnold M.D., Bakhtin Yu. Yu., Dinaburg E.I. Regularity of solutions to the Navier-Stokes system on plane, -- Uspekhi Mat. Nauk, 2004, v.59, no.3(357), p.157-158
  14. Bakhtin Yu.Yu. Existence and uniqueness of stationary solutions of nonlinear stochastic differential equation with memory. -- Theory Probab. Appl., 2002, v. 47, no.4, p.764-769
  15. Bakhtin Yu.Yu. Limit theorems for random solutions of the Burgers equation. Ph.D.Thesis. MSU, Moscow, 2001
  16. Bakhtin Yu.Yu. 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
  17. 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, p.30-31
  18. 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
  19. Bakhtin Yu.Yu. 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
  20. Bakhtin Yu.Yu. 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
  21. Bakhtin Yu.Yu. A functional central limit theorem for random solutions of the Burgers equation. -- Theory Probab. Appl, 1999, v.44, no.3, p.698-699
  22. Bakhtin Yu. Asymptotic analysis of the Burgers equation with random initial data. -- In: Eleventh European Young Statisticians Meeting, Marly-le-Roi,1999, p.10-14
  23. Bakhtin Yu.Yu. 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
  24. Bakhtin Yu.Yu., Bulinski, A.V. Moment inequalities for sums of dependent multiindexed random variables. -- Fundamentalnaya i prikladnaya matematika, 1997, v.3 no.4, p.1101-1108