Professor
https://mfeapp.baruch.cuny.edu/math/elenak/”> Baruch College and the Department of Mathematics, Box B6-230
Baruch College
New York, NY 10010
USA

Office hours: by appointment (on Scholar Incentive leave for the academic year 2014-2015)

#### Current research interests:

• Random walks and diffusions in random media

#### Education:

• Diploma in Mathematics (with Honors), 1989, Moscow State University, Adviser: A.S. Kalashnikov. Diploma paper: “On unbounded solutions of quasi-linear degenerate parabolic equations”.

#### Some papers and preprints:

Dolgopyat, D. Kosygina, E., Excursions and occupation times of critical excited random walks, arxiv:1410.7090

Kosygina, E., Zerner, M.P.W., Excursions of excited random walks on integers, Electronic Journal of Probability 19 (2014), article 25, 1-25

Kosygina, E., Crossing speeds of random walks among “sparse” or “spiky” Bernoulli potentials on integers, Journal of Statistical Physics, 152 (2013), no. 2, 213-236; arXiv:1212.4447

Kosygina, E., Zerner, M. P. W., Excited random walks: results, methods, open problems. Bulletin of the Institute of Mathematics. Academia Sinica (New Series) 8 (2013), no. 1, 105-157; Published version; arXiv:1204.1895

Dolgopyat, D., Kosygina, E., Scaling limits of recurrent excited random walks on integers. Electronic Communications in Probability 17 (2012), article 35, 1-14.

Kosygina, E., Mountford, T., Crossing velocities for an annealed random walk in a random potential. Stochastic Processes and their Applications 122 (2012), no. 1, 277–304. arXiv:1103.0515v1.

Kosygina, E., Mountford, T., Limit laws of transient excited random walks on integers. Annales de l’Institut Henri Poincare, Probabilites et Statistiques, 47 (2011), no. 2, 575-600. arXiv:0908.4356v2.

Kosygina, E., Mountford, T. S., Zerner, M.P.W., Lyapunov exponents of Green’s functions for random potentials tending to zero. Probability Theory and Related Fields, 150 (2011), no. 1-2, 43-59. arXiv:0903.4928v2.

Kosygina, E., Zerner, M.P.W., Positively and negatively excited random walks on integers, with branching processes. Electronic Journal of Probability, 13 (2008), paper 64, 1952-1979.

Kosygina, E., Varadhan S.R.S., Homogenization of Hamilton-Jacobi-Bellman equations with respect to time-space shifts in a stationary ergodic medium. Communications on Pure and Applied Mathematics, 61 (2008), no. 6, 816-847. PDF

Kosygina, E., Homogenization of stochastic Hamilton-Jacobi equations: brief review of methods and applications. Stochastic Analysis and Partial Differential Equations, Series of Contemporary Mathematics 429 (2007), American Mathematical Society, 189-204. PDF

Kosygina, E., Rezakhanlou, F., and Varadhan, S.R.S., Stochastic homogenization of Hamilton-Jacobi-Bellman Equations. Communications on Pure and Applied Mathematics, 59 (2006), no. 10, 1489-1521.PDF

Kosygina, E., Brownian flow on a finite interval with jump boundary conditions. Discrete and Continuous Dynamical Systems, Series B, 6 (2006), no. 4, 867-880. PDF

Kosygina, E., On the Cauchy problem for the generalized porous medium equation. Communications in Partial Differential Equations, 26 (2001), 841-858. PDF

Kosygina, E., The behavior of the specific entropy in the hydrodynamic scaling limit. The Annals of Probability, 29 (2001), no. 3, 1086-1110. PDF

Kosygina, E., The behavior of the specific entropy in the hydrodynamic scaling limit for Ginzburg-Landau model. Markov Processes and Related Fields, 7 (2001), no. 3, 383-417. PDF

#### Links to local probability seminars:

CUNY Probability Seminar, Tuesdays, 4:15-5:15 p.m., Rm 5417

Courant Institute Probability and Mathematical Physics Seminar, Fridays, 11 a.m.-12 p.m., Rm 512

Columbia University Probability Seminar, Fridays, 12-1 p.m., Rm 520

Last updated: 11/2014