ANTON GORODETSKI

Teaching

UNIVERSITY OF CALIFORNIA, IRVINE

2009-2010	1st term	Math220 A	Analytic Functions Theory
	2nd term	Math220 B	Analytic Functions Theory
	3rd term	Math220 C	Analytic Functions Theory
2008-2009	1st term	Math 3D	Introduction to differential equations
	2nd term	Math 140A	Elementary Analysis
2007-2008	1st term	Math120 A	Introduction to Group Theory
	2nd term	Math220 B	Analytic Functions Theory
	3rd term	Math211B	Dynamical Systems

CALTECH (2004-2007)

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 Equations
Introduction to Dynamical Systems
Differential Equations on Surfaces

INDEPENDENT  UNIVERSITY OF MOSCOW (2000-2003)

Ordinary Differential Equations
Probability Theory
Dynamical Systems
Calculus

BAUMAN MOSCOW STATE TECHNICAL UNIVERSITY (1996-1997)

Linear Algebra
Numerical 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 ergodic measures for non-hyperbolic homoclinic classes", Ergodic Theory and Dynamical Systems, vol. 29 (2009), no. 5, pp. 1479--1513.

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", Communications in Mathematical Physics, vol. 280 (2008), no. 2, pp. 499-516.

12. (with D.Damanik) "Hyperbolicity of the Trace Map for the Weakly Coupled Fibonacci Hamiltonian", Nonlinearity, vol. 22 (2009), pp. 123-143.

13. (with V.Kaloshin) "Conservative homoclinic bifurcations and some applications", Steklov Institute Proceedings, vol. 267 (dedicated to the 70th anniversary of Vladimir Arnold), pp. 76-90.

14. (with D.Damanik) "The Spectrum and the Spectral Type of the Off-Diagonal Fibonacci Operator", arXiv:0807.3024v2 [math.SP].

15. (with D.Damanik) "The Spectrum of the Weakly Coupled Fibonacci Hamiltonian", Electronic Research Announcements in Mathematical Sciences, vol. 16 (2009), pp. 23--29.

16. (with Ch.Bonatti and L.Diaz) "Non-hyperbolic ergodic measures with large support", arXiv:0908.4293v1 [math.DS], to appear in Nonlinearity.

17. (with D.Damanik) "Spectral and Quantum Dynamical Properties of the Weakly Coupled Fibonacci Hamiltonian", 53 pages, arXiv:1001.2552v1 [math.SP], submitted.

 

Presentation "How to make fractals at home"

 

List of assorted problems in dynamical systems

Book of problems in Dynamical Systems - in preparation (skeleton of the draft in Russian)