My research area is analysis. More precisely, open dynamical systems, hyperbolic dynamical systems, ergodic theory, limit theorems of probability theory, and their applications to physics. Here is my Research Statement 

Research papers:

• Almost Sure Invariance Principle for Non-stationary and Random Intermittent Dynamical Systems, DCDS(A) [Arxiv] [Journal]

• Vector-valued Almost Sure Invariance Principle for Non-stationary and random Dynamical Systems, TAMS [Arxiv] [Journal]

• Random Young Towers and Quenched Limit Laws, ETDS [Arxiv] [Journal]

• L. Bunimovich and Y. Su. Poisson Approximations and Convergence Rates for Hyperbolic Dynamical Systems, CMP [Arxiv] [Journal]

• L. Bunimovich and Y. Su. Back to Boundaries in Billiards. Accepted by CMP 

• L. Bunimovich and Y. Su. Maximal Large Deviations and Slow Recurrences in Weakly Chaotic Systems, Adv. Math., [Arxiv][Journal]

• L. Bunimovich and Y. Su. Estimates of constants in the limit theorems for chaotic dynamical systems. Accepted by Stoch. Dyn.

• Polynomial escape rates via maximal large deviations. Submitted

• L. Bunimovich and Y. Su. (Review paper) statistics of weakly chaotic systems, submitted

• Exact polynomial escape rates for Bunimovich focusing billiards, coming soon.

• Convergence rates of Boltzmann-Grad limits , in preparations.