Anna Rapoport


			Anna Rapoport Ph.D. Student Department of Computer Science & Applied Mathematics Weizmann Institute of Science E-mail: anna.rapoport@weizmann.ac.il Office: Ziskind Building, Room 301 Phone: +972-8-934-2761 Fax: +972-8-934-4122 Advisor: Prof. Vered Rom-Kedar Cellular: +972-54-5387507

Research Interest

My main research interest is in the area of Dynamical Systems. Specifically, I am working on high-dimensional billiards with soft potentials.

Publications

Anna Rapoport, Vered Rom-Kedar and Dmitry Turaev, "Approximating multi-dimensional Hamiltonian flows by billiards", (supplement) Comm. in Math. Phys. 272, no. 3, (2007)
Anna Rapoport and Vered Rom-Kedar, "Non-ergodicity of the motion in three dimensional steep repelling dispersing potentials", Chaos 16, (2006).
Anna Rapoport, Vered Rom-Kedar and Dmitry Turaev, "Stability in highdimensional steep repelling potentials", submitted to Comm. in Math. Phys.
Anna Rapoport and Vered Rom-Kedar, "Chaotic scattering by steep potentials", submitted to Phys. Rev. E

My CV

My Favorites

My Photos

	Dynamical Systems II: Prof. Vered Rom-Kedar, Spring 2004: Mondays, 14:00-16:00, Zyskind 261.
	Answers to homework exercises: homework 1, homework 2, homework 3
	Dynamical Systems I: Prof. Vered Rom-Kedar, Fall 2003: Mondays, 14:00-16:00, Zyskind 261.
	Presentation: "The "Game" of billiards" (ppt) The Billiards Simulation - here you can find most of the billiards we were talking about at the lecture and try to play with them. Answers to homework exercises: homework 1, homework 2, homework 3, homework 4, homework 5, homework 6, homework 7

PhD reports:

Lectures for Dynamical Systems Seminar:

"Lyapunov Exponents" (ppt)
"Hyperbolic and Ergodic properties of Dynamical Systems" (ppt)
"The "Game" of billiards" (ppt)
"Estimates for the Number of Collisions in the Boltzmann's gas and billiards" (lecture.pdf, figures.ppt)
"Approximating multi-dimensional Hamiltonian flows by billiards"(pdf)

M.Sc. work:

M.Sc. Thesis: "Theoretical and Empirical Issues in Demand Analysis" (pdf),
advisor: Prof. Yakar Kannai
M.Sc. thesis Presentation (ppt)

Courses:

Advanced Topics in Computer and Human Vision, 2001;
Presentation "A New Linear-Threshold Algorithm" (ppt)
Advanced Topics in Computer and Human Vision, 2002;
Presentation "Some Applications of Wavelets" (ppt)
Graphs, Geometry and Probability, Prof. Itai Benjamini;
Lecture 7: "Electrical Networks" (pdf)
Variational Analysis, Prof. Edriss Titi, Spring 2004; Presentation "Hamiltonian formulation of Euler's equation" (ps)