Konstantin Athanassopoulos

Professor

Department of Mathematics

University of Crete

University Campus

GR-700 13 Voutes, Iraklion, Crete

GREECE

Office: Gamma 320

Tel: (0030)-2810-393825 (office) FAX: (0030)-2810-393881

Home Address: Nteli Drakou 21, GR-714 09 Iraklion, Crete, GREECE

E-mail: athanako@math.uoc.gr

Dynamical Systems

Differential Geometry and Topology

Ergodic Theory

1. D+ stable dynamical systems on 2-manifolds, Math. Z. 196 (1987), 453-462. (pdf)
2. (with P. Strantzalos) On minimal sets in 2-manifolds, J. reine angew. Math. 388 (1988), 206-211. (pdf)
3. The flow near nontrivial minimal sets on 2-manifolds, Math. Proc. Camb. Phil. Soc. 108 (1990), 569-573. (pdf)
4. Cohomology and asymptotic stability of 1-dimensional continua, Manuscripta Math. 72 (1991), 415-423. (pdf)
5. A characterization of Denjoy flows, Bull. London Math. Soc. 24 (1992), 83-86. (pdf)
6. Some aspects of the theory of asymptotic cycles, Expositiones Math. 13 (1995), 321-336. (pdf)
7. (with A. Manoussos) Minimal flows on multipunctured surfaces of infinite type, Bull. London Math. Soc. 27 (1995), 595-598. (pdf)
8. One-dimensional chain recurrent sets of flows in the 2-sphere, Math. Z. 223 (1996), 643-649. (pdf)
9. Flows with cyclic winding numbers groups, J. reine angew. Math. 481 (1996), 207-215. (pdf)
10. (with Th. Petrescou and P. Strantzalos) A class of flows on 2-manifolds with simple recurrence, Comment. Math. Helvetici 72 (1997), 618-635. (pdf)
11. Rotation numbers and isometries, Geom. Dedicata 72 (1998), 1-13. (pdf)
12. Volume preserving flows with cyclic winding numbers groups and without periodic orbits on 3-manifolds, Manuscripta Math. 97 (1998), 37-44. (pdf)
13. Periodicity criteria of Poincare-Bendixson type, Univ. Iagel. Acta Math. 36 (1998), 181-182. (pdf)
14. Rotation of orbits and isometries, Proceedings of the 3d Panhellenic Conference of Geometry, (1999), 67-71.
15. (with A. Alexellis) Chain recurrence in flows on the Klein bottle, Math. Proc. Camb. Phil. Soc. 127 (1999), 83-91. (pdf)
16. Cohomology of surface minimal sets, Expositiones Math. 17 (1999), 371-374. (pdf)
17. On the Ruelle rotation for torus diffeomorphisms, Math. Z. 234 (2000), 225-239. (pdf)
18. Explosions near isolated unstable attractors, Pacific J. Math. 210 (2003), 201-214. (pdf)
19. Remarks on the region of attraction of an isolated invariant set, Colloq. Math. 104 (2006), 157-167. (pdf)
20. Pointwise recurrent homeomorphisms with stable fixed points, Topology Appl. 153 (2006), 1192-1201. (pdf)
21. Divergence of C1 vector fields and nontrivial minimal sets on 2-manifolds, J. Differential Equations 243 (2007), 24-35. (pdf)
22. Asymptotically stable one-dimensional compact minimal sets, Topol. Methods Nonlinear Anal. 30 (2007), 397-406. (pdf)
23. (with C. Panagiotakis and G. Tziritas) The equipartition of curves, Computational Geom. 42 (2009), 677-689. (pdf)
24. The Ruelle rotation of Killing vector fields, Colloq. Math., 116 (2009), 243-247. (pdf)
25. Pal's problem for continuous curves, preprint. (pdf)
26. Denjoy C1 diffeomorphisms of the circle and McDuff's conjecture, preprint. (pdf)
27. On the existence of absolutely continuous automorphic measures, preprint. (pdf)

Winter semester: (i) Linear Algebra in the Department of Computer Science (Exercises and January's examination) , (ii) Algebraic Topology-Homology and Cohomology (graduate course).

Spring semester: (i) Geometry .

Some offered subjects for Master's thesis can be found here.

The Geometry Seminar 2001-2002 at the Univ. of Crete.

The Dynamical Systems and the Geometry Seminar 2002-2003 at the Univ. of Crete.

The Geometry Seminar 2003-2004 at the Univ. of Crete.

The Dynamical Systems Seminar 2004-2005 at the Univ. of Crete.

The Dynamical Systems Seminar 2005-2006 at the Univ. of Crete.

The Geometry Seminar 2006-2007 at the Univ. of Crete.

The Dynamical Systems and the Geometry Seminar 2007-2008 at the Univ. of Crete.

Handwritten lecture notes on elementary Topology (in Greek).

Handwritten lecture notes on Calculus III (Differential Equations) (in Greek).

Lectures on some Classical theorems of topology in dimension 2 (in Greek).

Exercises on Differentiable Manifolds and Riemannian Geometry (in Greek).

Lectures on Poincare-Bendixson Theory given in the Summer School on Mathematics, 2002, held at Iraklion (in Greek).

A lecture on Rotation Numbers in Dynamical Systems (in Greek).

A crash course in Hyperbolic Geometry (in Greek).

A lecture on The gradient structure of flows (in Greek).

A lecture on Stable and unstable minimal attractors (in English).

Six chapters of introductory Notes on Ergodic Theory of Dynamical Systems from a geometric point of view (in English).

Three chapters of introductory Notes on Symplectic Geometry (in English).

An introductory course in Discrete Dynamical Systems (in Greek).