Position Assistant Professor Michal Málek
Address Mathematical Institute
Silesian University in Opava
Na Rybnicku 1
746 01 Opava, Czech Republic
Phone +420 553 684 672
Fax +420 553 684 680
E-mail
WWW Teaching

Curriculum

- Undergraduate study at the Silesian University in Opava, Institute of Mathematics (1993–1998).
- Master thesis: "Chaos for continuous maps".
- Ph.D. thesis: "Strong chaos in one dimensional dynamical systems" (2002).
- Postdoctoral Fellow, Center for Mathematical Analysis, Geometry, and Dynamical Systems, Instituto Superior Técnico, Technical University of Lisbon (2008 - 2010).

Research

Discrete dynamical systems, chaos for one-dimensional maps.

Publications

  1. A counterexample of an extremally chaotic function, Real Anal. Exchange vol 23 (1997/8) 325–328.
  2. Distributional chaos for continuous mappings of the circle, Annales Mathematicae Silesianae vol 13 (1999), 205–210.
  3. Distributional chaos and spectral decomposition of dynamical systems on the circle, Topology Appl. 135 (2004), 215–229. ISSN 0166-8641.
  4. (with R. Hric) Omega limit sets and distributional chaos on graphs, Topology and its Applications 153 (2006), 2469–2475. ISSN 0166-8641.
  5. Distributional chaos in dimension one, Grazer Math. Berichte 351 (2007), 100–103. ISSN 1016-7692.
  6. (with Z. Kočan and V. Kurková) On the centre and the set of ω-limit points of continuous maps on dendrites, Topology and its Applications 156 (2009), 2923–2931.
  7. (with Z. Kočan and V. Kurková) Entropy, horseshoes and homoclinic trajectories on trees, graphs and dendrites, Ergodic Theory and Dynamical Systems, 31 (2011), no. 1, pp 165–175, Erratum: pp 177–177.
  8. (with P. Oprocha) On variants of distributional chaos in dimension one, Dynamical Systems, in Press.