ANTON GORODETSKI
Harry Bateman Research Instructor in Mathematics, Caltech
Teaching
CALTECH
2006-2007 | 1st term | Ma147a | Dynamical Systems |
3rd term | Ma 4 | Introduction to Mathematical Chaos | |
3rd term | Ma147b | Hamiltonian Dynamics | |
2005-2006 | 1st term | Ma108a | Classical Analysis |
2nd term | Ma108b | Classical Analysis | |
3rd term | Ma 4 | Introduction to Mathematical Chaos | |
2004-2005 | 1st term | Ma 147a | Dynamical Systems |
2nd term | Ma 108b | Classical Analysis | |
3rd term | Ma 147c | Complex Dynamics |
MOSCOW STATE UNIVERSITY (2000-2003)
Ordinary Differential EquationsIntroduction to Dynamical Systems
Differential Equations on Surfaces
INDEPENDENT MOSCOW UNIVERSITY (2000-2003)
Ordinary Differential EquationsProbability Theory
Dynamical Systems
Calculus
BAUMAN MOSCOW STATE TECHNICAL UNIVERSITY (1996-1997)
Linear AlgebraNumerical Methods in Mathematics
Publications and preprints
1. "Hierarchy of attractors for Axiom A diffeomorphisms", Vestnik MSU, no.1 (1996), pp.84-86.
2. (with Yu. Ilyashenko) "Minimal and strange attractors", International Journal of Bifurcation and Chaos, vol.6, no.6 (1996), pp.1177-1183.
3. (with Yu. Ilyashenko) "Some new robust properties of invariant sets and attractors of dynamical systems", Functional Analysis and Applications, no.2, vol.33, 1999, pp.16-30.
4. (with Yu. Ilyashenko) "Some properties of skew products over the horseshoe and solenoid", Proc. of Steklov Institute, vol. 231 (2000), p. 96-118. (here in Russian) 5. (with Yu. Ilyashenko, V. Kleptsyn, M. Nalskij) "Non-removable zero Lyapunov exponent", Functional Analysis and Applications,vol 39 (2005), no.1, pp. 27-38. (here in Russian)6. "Regularity of central leaves of partially hyperbolic sets and its applications", Izvestia RAN (The Newsletter of the Russian Academy of Science), vol.70 (2006), no.6, pp. 52-78. (here in Russian)
7. (with V. Kaloshin) "How often surface diffeomorphisms have infinitely many sinks and hyperbolicity of periodic points near a homoclinic tangency", Advances in Mathematics, 208 (2007), pp. 710-797.
8. (with B. Hunt and V. Kaloshin) "Newton interpolation polynomials, discretization method, and certain prevalent properties in dynamical systems", Vol. 2, Proceedings of ICM 2006, Madrid, Spain, European Math Society (2006) pp.27-55.
9. (with L. Diaz) "Non hyperbolic invariant measures produced by heteroclinic cycles", in preparation.
10. (with V. Kaloshin) "Hausdorff dimension of oscillatory motions in the restricted planar circular three body problem and in Sitnikov problem", in preparation.
11. (with D.Damanik, M. Embree, and S.\ Tcheremchantsev)
"The
Fractal Dimension of the Spectrum of the Fibonacci Hamiltonian",
submitted.