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Where to find me

Department of mathematics
Tajovského 40
97401 Slovensko

Professional characteristics


  • MSc. – Faculty of Natural Sciences, Comenius University in Bratislava, 1978
  • RNDr. - Faculty of Natural Sciences, Comenius University in Bratislava, 1978
  • CSc. – Faculty of Mathematics and Physics, Comenius University in Bratislava, 1986
  • Doc. - Faculty of Mathematics and Physics, Comenius University in Bratislava, 1989
  • DSc. -  Czech Academy of Sciences, Prague, 2005
  • DrSc. - Comenius University in Bratislava, 2007
  • Prof. – Silesian University in Opava, 2008

Research areas (according to 2010 Mathematics Subject Classification)

  • 37-XX Dynamical systems and ergodic theory
  • 54-XX General topology

Selected publications:

  • Ľ. Snoha: Characterization of potentially minimal periodic orbits of continuous mappings of an interval. Acta Math. Univ. Comenian. 52/53 (1987), 111-124
  • Ľ. Snoha: Generic chaos. Comment. Math. Univ. Carolin. 31 (1990), no. 4, 793-810
  • Ľ. Snoha:  Dense chaos. Comment. Math. Univ. Carolin. 33 (1992), no. 4, 747-752
  • V. Jiménez López, Ľ. Snoha: There are no piecewise linear maps of type $2^\infty$. Trans. Amer. Math. Soc. 349 (1997), no. 4, 1377-1387
  • Ll. Alsedà, S. Kolyada, J. Llibre, Ľ. Snoha: Entropy and periodic points for transitive maps. Trans. Amer. Math. Soc. 351 (1999), 1551-1573
  • S. Kolyada, M. Misiurewicz, Ľ. Snoha: Topological entropy of nonautonomous piecewise monotone dynamical systems on the interval. Fund. Math. 160 (1999), 161-181
  • S. Kolyada, Ľ. Snoha, S. Trofimchuk: Noninvertible minimal maps. Fund. Math. 168 (2001), 141-163
  • J. Auslander, S. Kolyada, Ľ. Snoha: Functional envelope of a dynamical system. Nonlinearity 20 (2007), no. 9, 2245-2269
  • F. Blanchard, W. Huang, Ľ. Snoha: Topological size of scrambled sets. Colloq. Math. 110 (2008), no. 2, 293-361
  • S. Kolyada, Ľ. Snoha, S. Trofimchuk: Proper minimal sets on compact connected 2-manifolds are nowhere dense. Ergodic Theory Dynam. Systems 28 (2008), no. 3, 863-876
  • F. Balibrea, T. Downarowicz, R.  Hric, Ľ. Snoha, V. Špitalský:  Almost totally disconnected minimal systems. Ergodic Theory Dynam. Systems 29 (2009), no. 3, 737-766.
  • M. Dirbák, Ľ. Snoha, V. Špitalský: Minimality, transitivity, mixing and topological entropy on spaces with a free interval. Ergodic Theory Dynam. Systems 33 (2013), no. 6, 1786-1812
  • S. Kolyada, Ľ. Snoha, S. Trofimchuk: Minimal sets of fibre-preserving maps in graph bundles. Math. Z. 278 (2014), no. 1-2, 575-614
  • S. Ruette, Ľ. Snoha: For graph maps, one scrambled pair implies Li-Yorke chaos. Proc. Amer. Math. Soc. 142 (2014), no. 6, 2087--2100
  • S. Kolyada, M. Misiurewicz, Ľ. Snoha: Spaces of transitive interval maps. Ergodic Theory Dynam. Systems 35 (2015), no. 7, 2151-2170
  • T. Downarowicz, Ľ. Snoha, D. Tywoniuk: Minimal spaces with cyclic group of homeomorphisms. J. Dynam. Differential Equations 29 (2017), no. 1, 243-257
  • 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
  • Ľ. Snoha, X. Ye, R. Zhang: Topology and topological sequence entropy. Sci. China Math. 63 (2020), no. 2, 205--296
  • Ľ. Snoha, V. Špitalský, M. Takács: Generic chaos on dendrites. Ergodic Theory Dynam. Systems 42 (2022), no. 6, 2108--2150
  • M. Dirbák, Ľ. Snoha, V. Špitalský: Minimal direct products. Trans. Amer. Math. Soc. 375 (2022), no. 9, 6453--6506


  • Introduction to the theory of functions
  • Mathematical problem solving
  • Calculus 1,2
  • Mathematical analysis 1,2,3
  • Functional equations
  • Discrete dynamical modeling 1,2
  • Measure and integral
  • Metric spaces and topology
  • Selected topics from topology
  • Functional analysis
  • Dynamical systems 1,2
  • Ergodic theory 1


Consultation hours

11:30 - 12:30
a podľa dohody so študentami