Faculty of Natural Sciences University of Matej Bel

RNDr. Matúš Dirbák, PhD.


  • Mgr. - FPV UMB Banská Bystrica, 2007
  • RNDr. - FPV UMB Banská Bystrica, 2007
  • PhD. - FPV UMB Banská Bystrica, 2013

Science and research activities (2000 Mathematics Subject Classification):

  • 37-XX Dynamical systems and ergodic theory

Selected publications:

  1. M. Dirbák: Extensions of dynamical systems without increasing the entropy. Nonlinearity, vol. 21, 2008, pp. 2693-2713
  2. M. Dirbák, P. Maličký: On the construction of non-invertible minimal skew products. J. Math. Anal. Appl., vol. 375, 2011, pp. 436-442.
  3. M. Dirbák: Minimal skew products with hypertransitive or mixing propeties. Discrete Contin. Dyn. Syst., vol. 32, 2012, no. 5, pp. 1657-1674.
  4. M. Dirbák, Ľ. Snoha, V. Špitalský, Minimality, transitivity, mixing and topological entropy on spaces with a free interval. Ergodic Theory Dynam. Systems, vol. 33, 2013, no. 6, pp. 1786-1812.
  5. M. Dirbák, Minimal extensions of flows with amenable acting groups, Israel J. Math., vol. 207, 2015, no. 2, pp. 581-615.
  6. M. Dirbák, R. Hric, P. Maličký, Ľ. Snoha, V. Špitalský, Minimality for actions of abelian semigroups on compact spaces with a free interval, Ergodic Theory Dynam. Systems 39 (2019), no. 11, 2968-2982.

Teaching activities: 

  • Ordinary differential equations
  • Measure and integral
  • Set theory and metric spaces
  • Functional analysis

Faculty of Natural Sciences University of Matej Bel