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


My CV in english (ps, pdf) and in greek (ps, pdf) . A description of my research in greek (ps, pdf) .


Research Interests
Dynamical Systems
Differential Geometry and Topology
Ergodic Theory


Research Publications
  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. Denjoy C1 diffeomorphisms of the circle and McDuff's question, Expositiones Math., to appear. (pdf)
  26. On the existence of absolutely continuous automorphic measures, preprint. (pdf)


Teaching in the academic year 2013-2014
Winter semester: (i) Linear Algebra in the Department of Computer Science (Exercises and last January's examination) .
Spring semester: (i) Calculus II , in the Department of Computer Science, and (ii) Analysis of functions of several variables .


Some subjects for a Master's Thesis can be found here .


Seminars
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.
The Mechanics and Symplectic Geometry Seminar 2013-2014 at the Univ. of Crete.


Lecture Notes
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).
Four chapters of introductory Notes on Symplectic Geometry (New version, 2013) (in English).
An introductory course in Discrete Dynamical Systems (in Greek).


K. Athanassopoulos, 24.01.2014