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1

STATIONARY SOLUTIONS OF STOCHASTIC DIFFERENTIAL EQUATIONS WITH MEMORY AND STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

BAKHTIN, YURI, MATTINGLY, JONATHAN C.

Journal:

Communications in Contemporary Mathematics

Year:

2005

Language:

english

File:

PDF, 389 KB

english, 2005

2

Malliavin calculus for infinite-dimensional systems with additive noise

Yuri Bakhtin, Jonathan C. Mattingly

Journal:

Journal of Functional Analysis

Year:

2007

Language:

english

File:

PDF, 380 KB

english, 2007

3

Existence and Uniqueness of Stationary Solutions for 3D Navier–Stokes System with Small Random Forcing via Stochastic Cascades

Journal:

Journal of Statistical Physics

Year:

2006

Language:

english

File:

PDF, 104 KB

english, 2006

4

Large Deviations for Random Trees and the Branching of

Yuri Bakhtin, Christine E. Heitsch

Journal:

Bulletin of Mathematical Biology

Year:

2009

Language:

english

File:

PDF, 407 KB

english, 2009

5

Space-time stationary solutions for the Burgers equation

Bakhtin, Yuri, Cator, Eric, Khanin, Konstantin

Journal:

Journal of the American Mathematical Society

Year:

2013

Language:

english

File:

PDF, 513 KB

english, 2013

6

On global solutions of the random Hamilton–Jacobi equations and the KPZ problem

Bakhtin, Yuri, Khanin, Konstantin

Journal:

Year:

2018

Language:

english

File:

PDF, 1.61 MB

english, 2018

7

Scaling limits for conditional diffusion exit problems and asymptotics for nonlinear elliptic equations

Bakhtin, Yuri, Święch, Andrzej

Journal:

Transactions of the American Mathematical Society

Year:

2015

Language:

english

File:

PDF, 415 KB

english, 2015

8

Scaling limit for the diffusion exit problem in the Levinson case

Sergio Angel Almada Monter, Yuri Bakhtin

Journal:

Stochastic Processes and their Applications

Year:

2011

Language:

english

File:

PDF, 231 KB

english, 2011

9

Thermodynamic limit for large random trees

Journal:

Random Structures & Algorithms

Year:

2010

Language:

english

File:

PDF, 201 KB

english, 2010

10

Regularity of Solutions to Vorticity Navier–Stokes System on ℝ2

Maxim Arnold, Yuri Bakhtin, Efim Dinaburg

Journal:

Communications in Mathematical Physics

Year:

2005

Language:

english

File:

PDF, 174 KB

english, 2005

11

Diffusion approximation for slow motion in fully coupled averaging

Victor Bakhtin, Yuri Kifer

Journal:

Probability Theory and Related Fields

Year:

2004

Language:

english

File:

PDF, 279 KB

english, 2004

12

Noisy heteroclinic networks

Journal:

Probability Theory and Related Fields

Year:

2011

Language:

english

File:

PDF, 428 KB

english, 2011

13

Large Deviations for Random Trees

Yuri Bakhtin, Christine Heitsch

Journal:

Journal of Statistical Physics

Year:

2008

Language:

english

File:

PDF, 327 KB

english, 2008

14

The Optimal Sink and the Best Source in a Markov Chain

Yuri Bakhtin, Leonid Bunimovich

Journal:

Journal of Statistical Physics

Year:

2011

Language:

english

File:

PDF, 479 KB

english, 2011

15

Exit asymptotics for small diffusion about an unstable equilibrium

Journal:

Stochastic Processes and their Applications

Year:

2008

Language:

english

File:

PDF, 284 KB

english, 2008

16

Decision Making Times in Mean-Field Dynamic Ising Model

Journal:

Annales Henri Poincaré

Year:

2012

Language:

english

File:

PDF, 217 KB

english, 2012

17

Invariant densities for dynamical systems with random switching

Bakhtin, Yuri, Hurth, Tobias

Journal:

Year:

2012

Language:

english

File:

PDF, 188 KB

english, 2012

18

A neural computation model for decision-making times

Bakhtin, Yuri, Correll, Joshua

Journal:

Journal of Mathematical Psychology

Year:

2012

Language:

english

File:

PDF, 412 KB

english, 2012

19

symm -Tetramethylenecyclooctane: En Route to Polyspirocycles

Averina, Elena B., Sedenkova, Kseniya N., Bakhtin, Stanislav G., Grishin, Yuri K., Kutateladze, Andrei G., Roznyatovsky, Vitaly A., Rybakov, Victor B., Butov, Gennady M., Kuznetsova, Tamara S., Zefiro

Journal:

Journal of Organic Chemistry

Year:

2014

Language:

english

File:

PDF, 883 KB

english, 2014

20

Small noise limit for diffusions near heteroclinic networks

Journal:

Dynamical Systems / An International Journal

Year:

2010

Language:

english

File:

PDF, 229 KB

english, 2010

21

On Gumbel limit for the length of reactive paths

Journal:

Stochastics and Dynamics

Year:

2015

Language:

english

File:

PDF, 180 KB

english, 2015

22

Normal forms approach to diffusion near hyperbolic equilibria

Monter, Sergio Angel Almada, Bakhtin, Yuri

Journal:

Year:

2011

Language:

english

File:

PDF, 65 KB

english, 2011

23

[ACM Press the 22nd ACM international conference - San Francisco, California, USA (2013.10.27-2013.11.01)] Proceedings of the 22nd ACM international conference on Conference on information & knowledge management - CIKM '13 - Predicting the impact of expansion terms using semantic and user interaction features

Bakhtin, Anton, Ustinovskiy, Yury, Serdyukov, Pavel

Year:

2013

Language:

english

File:

PDF, 528 KB

english, 2013

24

Regularity of invariant densities for 1D systems with random switching

Bakhtin, Yuri, Hurth, Tobias, Mattingly, Jonathan C

Journal:

Year:

2015

Language:

english

File:

PDF, 1.24 MB

english, 2015

25

Burgers Equation with Random Boundary Conditions

Journal:

Proceedings of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 567 KB

english, 2007

26

SPIE Proceedings [SPIE SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation - San Diego, CA (Sunday 9 July 1995)] Application and Theory of Periodic Structures - Optimization algorithm in tensor vector theory of dynamic periodic structures and applications to optical sensors

Dovgalenko, George E., Onischenko, Yuri I., Loutchkina, Irina I., Bakhtin, V., Jannson, Tomasz

Year:

1995

Language:

english

File:

PDF, 904 KB

english, 1995

27

SPIE Proceedings [SPIE Nonresonant Laser-Matter Interaction (NLMI-10) - St. Petersburg, Russia (Monday 21 August 2000)] Nonresonant Laser-Matter Interaction (NLMI-10) - Paraxial (2+1)-dimensional self-focusing of extremely short pulses

Bakhtin, Michael A., Berkovsky, Andrey N., Kozlov, Sergei A., Shpolyanskiy, Yuri A., Libenson, Mikhail N.

Year:

2001

Language:

english

File:

PDF, 1.27 MB

english, 2001

28

Burgers equation with random boundary conditions

Journal:

Proceedings of the American Mathematical Society

Year:

2007

Language:

english

File:

PDF, 153 KB

english, 2007

29

The Burgers equation with Poisson random forcing

Journal:

The Annals of Probability

Year:

2013

Language:

english

File:

PDF, 263 KB

english, 2013

30

Inviscid Burgers equation with random kick forcing in noncompact setting

Journal:

Electronic Journal of Probability

Year:

2016

Language:

english

File:

PDF, 452 KB

english, 2016

31

Thermodynamic Limit for Directed Polymers and Stationary Solutions of the Burgers Equation

Bakhtin, Yuri, Li, Liying

Journal:

Communications on Pure and Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 528 KB

english, 2018

32

Zero Temperature Limit for Directed Polymers and Inviscid Limit for Stationary Solutions of Stochastic Burgers Equation

Bakhtin, Yuri, Li, Liying

Journal:

Journal of Statistical Physics

Year:

2018

Language:

english

File:

PDF, 766 KB

english, 2018

33

Smooth invariant densities for random switching on the torus

Bakhtin, Yuri, Hurth, Tobias, Lawley, Sean D, Mattingly, Jonathan C

Journal:

Year:

2018

Language:

english

File:

PDF, 1.49 MB

english, 2018

34

Ergodicity and Hopf–Lax–Oleinik formula for fluid flows evolving around a black hole under a random forcing

Bakhtin, Yuri, LeFloch, Philippe G.

Journal:

Stochastic Partial Differential Equations: Analysis and Computations

Year:

2018

Language:

english

File:

PDF, 1.68 MB

english, 2018

35

Scaling limit for escapes from unstable equilibria in the vanishing noise limit: Nontrivial Jordan block case

Bakhtin, Yuri, Pajor-Gyulai, Zsolt

Journal:

Stochastics and Dynamics

Year:

2019

Language:

english

File:

PDF, 262 KB

english, 2019

36

Exit time asymptotics for dynamical systems with fast random switching near an unstable equilibrium

Bakhtin, Yuri, GaÃ¡l, Alexisz

Journal:

Stochastics and Dynamics

Year:

2019

File:

PDF, 162 KB

2019

37

Tails of exit times from unstable equilibria on the line

Bakhtin, Yuri, Pajor-Gyulai, Zsolt

Journal:

Journal of Applied Probability

Year:

2020

File:

PDF, 278 KB

2020