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Where to find me

Department of mathematics
Tajovského 40
97401 Slovensko

Professional characteristics

Qualification:

  • Mgr. - FPV UMB Banská Bystrica, 2007
  • RNDr. - FPV UMB Banská Bystrica, 2007
  • PhD. - FPV UMB Banská Bystrica, 2013
  • Doc. - Mathematical Institute of the Silesian University in Opava, 2022

Science and research activities (2020 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.
  7. M. Dirbák, First cohomology groups of minimal flows, Dissertationes Math. 562 (2021), 206 pp.
  8. M. Dirbák, Ľ. Snoha, V. Špitalský: Minimal direct products, Trans. Amer. Math. Soc. 375 (2022), no. 9, 6453-6506.

Teaching activities: 

  • Sequences and functions
  • Discrete mathematics 2
  • Linear algebra 2
  • Measure and integral
  • Set theory and metric spaces
  • Functional analysis

Consultation hours

Monday
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Thuesday
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Wednesday
11:00 - 12:00
Thursday
11:00 - 12:00
Friday
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