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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 Equations
Introduction to Dynamical Systems
Differential Equations on Surfaces

INDEPENDENT MOSCOW UNIVERSITY (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 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.