Interests. dynamical systems and its applications.
Education.
Publications.
- (with Dr. Shau-Jin Chang) Localized Zero Modes and the Breakup of KAM Tori, Chinese Journal of Physics (Taiwan), 35 (1997), 780--788;
- (with Dr. Ya. Pesin) Some physical models of the reaction-diffusion equation, and coupled map lattices, Russ. Math. Surv., 59 (2004), 481--513;
- (with Dr. L. A. Bunimovich) Deterministic Walks in Markov environments with constant rigidity, Contemp. Math., 430 (2007), 57--72;
- (with Dr. L. A. Bunimovich) Deterministic Walks in Rigid Environments with aging, DCDS-B, 9 (2008), 27--46.
- (with Dr. L. A. Bunimovich) Where to place a hole to achieve maximum escape rate, Israel Journal of Mathematics, 182 (2011), 229--252.
- (with Dr. L. A. Bunimovich and M. A. Khlabystova) Lorentz Lattice Gases, Deterministic Walks in Random Environments, and Many-dimensional Turing Machines, in print (2012).
Teaching Experience.
- Westwood College, Summer 2010: College Algebra, College Physiscs, and Earth Science, instructor;
- Westwood College, Spring 2010: Ecology, College Physiscs, and Earth Science, instructor;
- Westwood College, Winter 2009/2010: College Algebra, College Physiscs, and Earth Science, instructor;
- Westwood College, Fall 2009: College Physics, instructor;
- Westwood College, Summer 2009: Trigonometry and College Physics, instructor;
- Westwood College, Spring 2009: College Algebra and Trigonometry, instructor;
- Westwood College, Winter 2008/09: College Algebra, instructor;
- ITT Technical Institutes, Winter 2008: College Mathematics II and College Physics, instructor;
- ITT Technical Institutes, Fall 2008: College Mathematics II, instructor;
- Westwood College, Fall 2008: College Algebra I and College Algebra II, instructor;
- GA TECH, Summer 2006: Differential Equations, lead instructor;
- GA TECH, Fall 2005 Differential Equations, TA;
- GA TECH, Summer 2005: Statistics and Applications, lead instructor;
- GA TECH, Fall 2004: Calculus I, TA;
- GA TECH, Summer 2004: Introduction to Probability and Statistics, lead instructor;
- GA TECH, Spring 2004: Differential Equations, lead instructor;
- GA TECH, Fall 2003: Linear Algebra, lead instructor;
- GA TECH, Summer 2003: Differential Equations, lead instructor;
- GA TECH, Spring 2003: Calculus III, TA and Business Calculus, TA;
- PSU, Fall 1999 - Spring 2002: College Algebra I & II, lead instructor.
Talks.
- Non-asymptotic results in the theory of open dynamical systems, 2011 Spring Eastern Sectional Meeting, College of the Holy Cross, Worcester, MA , Apr 2011.
- Escape rate in the open dynamical systems, seminar, Kennesaw State University, Kennesaw, GA, Feb 2011.
- Determenistic Walks in Random Environments, seminar, Kennesaw State University, Kennesaw, GA, Jan 2011.
- Open dynamical systems and escape rates, seminar, Clayton University, Atlanta, GA, Nov 2010.
- Open dynamical systems, seminar, Emory University, Atlanta, GA, Nov 2009.
- Where to place a hole to achieve maximum escape rate, poster presentation at Dynamics Days 2008, Knoxville, TN, Jan 2008.
- Where to place a hole to achieve maximum escape rate, Workshop in Dynamical Systems and Related Topics, Penn State, State College, PA, Oct 2007.
- Localized Zero Modes and the Breakup of KAM Tori, Seminar, University of Illinois at Urbana/Champaign, Aug 1997.