## Cookie settings

When you visit any website, that website may store or retrieve information about your browser, especially in the form of cookies. This information may relate to you, your preferences, your device, or it can be used to make the site work as you expect. This information usually doesn't identify you directly, but it allows you to get more personalized online content. In these settings, you can choose not to allow certain types of cookies. Click on the category headings to learn more and change your default settings. However, you should be aware that blocking certain cookies may affect your experience with the site and the services we may offer you.More info

## Manage cookie settings

Necessary cookies

Always active

These cookies are necessary to ensure the functionality of the website and cannot be turned off in our systems. They are usually set up only in response to activities you perform that constitute a service-related request, such as setting privacy preferences, signing in, or filling out forms. You can set your browser to block or alert you to such cookies, in which case some parts of the site may not work.

Performance cookies

These cookies allow us to determine the number of visits and traffic sources so that we can measure and improve the performance of our site. They help us identify which sites are the most and least popular, and see how many visitors are moving around the site. All information that these cookies collect is aggregated and therefore anonymous. If you do not enable these cookies, we will not know when you visited our site.

## Where to find me

Department of mathematics
Tajovského 40
97401 Slovensko

## Professional characteristics

Education:

• 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

Teaching:

• 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

Monday
11:30 - 12:30
Thuesday
-
Wednesday
-
Thursday
-
Friday
-
a podľa dohody so študentami