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Position
| Assistant Professor
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Address
| Mathematical Institute
Silesian University in Opava
Na Rybnicku 1
746 01 Opava, Czech Republic
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Phone
| +420 553 684 672
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Fax
| +420 553 684 680
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E-mail
|
|
WWW
| Teaching
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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
- A counterexample of an extremally chaotic function,
Real Anal. Exchange vol 23 (1997/8) 325–328.
- Distributional chaos for continuous mappings of the circle,
Annales Mathematicae Silesianae vol 13 (1999), 205–210.
- Distributional chaos and spectral decomposition of dynamical systems on the circle,
Topology Appl. 135 (2004), 215–229. ISSN 0166-8641.
- (with R. Hric) Omega limit sets and distributional chaos on
graphs, Topology and its Applications 153 (2006), 2469–2475. ISSN 0166-8641.
- Distributional chaos in dimension one, Grazer Math. Berichte 351
(2007), 100–103. ISSN 1016-7692.
- (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.
- (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.
- (with P. Oprocha) On variants of distributional chaos in dimension one, Dynamical
Systems, in Press.
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