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Title Minimal spaces with cyclic group of homeomorphisms Author info Tomasz Downarowicz, Ľubomír Snoha, Dariusz Tywoniuk Author Downarowicz Tomasz (34%)
Co-authors Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Tywoniuk Dariusz (33%)
Source document Journal of Dynamics and Differential Equations. Vol. 29, no. 1 (2017), pp. 243-257. - New York : Springer, 2017 Keywords Continuum (Mathematics) homeomorphisms topologická entropia - topological entropy Language English Country United States of America systematics 51 Annotation There are two main subjects in this paper. (1) For a topological dynamical system we study the topological entropy of its "functional envelopes" (the action of by left composition on the space of all continuous self-maps or on the space of all self-homeomorphisms of ). In particular we prove that for zero-dimensional spaces both entropies are infinite except when is equicontinuous (then both equal zero). (2) We call Slovak space any compact metric space whose homeomorphism group is cyclic and generated by a minimal homeomorphism. Using Slovak spaces we provide examples of (minimal) systems with positive entropy, yet, whose functional envelope on homeomorphisms has entropy zero (answering a question posed by Kolyada and Semikina). Finally, also using Slovak spaces, we resolve a long standing open problem whether the circle is a unique non-degenerate continuum admitting minimal continuous transformations but only invertible: No, some Slovak spaces are such, as well. Public work category ADC No. of Archival Copy 39386 Repercussion category AKIN, Ethan - RAUTIO, Juho. Chain transitive homeomorphisms on a space: all or none. In Pacific journal of mathematics. ISSN 0030-8730, 2017, vol. 291, no. 1, pp. 1-49.
BORONSKI, J. P. - CLARK, Alex - OPROCHA, P. A compact minimal space Y such that its square Y x Y is not minimal. In Advances in mathematics. ISSN 0001-8708, 2018, vol. 335, pp. 261-275.
KOLYADA, Sergii. A survey of some aspects of dynamical topology : dynamical compactness and Slovak spaces. In Discrete and continuous dynamical systems : series S. ISSN 1937-1632, 2020, vol. 13, no. 4, pp. 1291-1317.
BORONSKI, Jan P. - CINC, Jernej - FORYS-KRAWIEC, Magdalena. On rigid minimal spaces. In Journal of dynamics and differential equations. ISSN 1040-7294, 2021, vol. 33, no. 2, pp. 1023-1034.
BORONSKI, Jan P. - KENNEDY, Judy - LIU, Xiao-Chuan - OPROCHA, Piotr. Minimal non-invertible maps on the pseudo-circle. In Journal of dynamics and differential equations. ISSN 1040-7294, 2021, vol. 33, no. 4, pp. 1897-1916.
BORONSKI, Jan P. - CLARK, Alex - OPROCHA, Piotr. New exotic minimal sets from pseudo-suspensions of cantor systems. In Journal of dynamics and differential equations. ISSN 1040-7294, 2021, vol. 35, no. 2, pp. 1175–1201.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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Title Entropy in dynamical systems Author info Tomasz Downarowicz Author Downarowicz Tomasz
Issue data Cambridge ; New York : Cambridge University Press , 2011. - 391 s. : il., 24 cm Issue 1st ed. Edition New Mathematical Monographs , 18 ISBN 978-0-521-88885-1 Note Bibliografia s. [379]-385. Reg. Keywords topologická entropia - topological entropy topologická dynamika - topological dynamics Language English Country Great Britian systematics 515.1 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xkni - BOOKS Copy count 1, currently available 0, at library only 1 
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Call number Location Sublocation Umiestnenie Info 327988 Univerzita Mateja Bela Department of mathematics In-Library Use Only Title Almost totally disconnected minimal systems Author info Francisco Balibrea ...[et al.] Author Balibrea Francisco (20%)
Another authors Downarowicz Tomasz (Author) (20%)
Hric Roman 1970- (Author) (20%) UMBUV01 - Ústav vedy a výskumu
Snoha Ľubomír 1955- (Author) (20%) UMBFP10 - Katedra matematiky
Špitalský Vladimír 1973- (Author) (20%) UMBFP10 - Katedra matematiky
Source document Ergodic Theory and Dynamical Systems. Vol. 29, no. 3 (2009), pp. 737-766. - Cambridge : Cambridge University Press, 2009 Keywords mapy - maps sets mnohočleny - polynómy - polynomials dendrites Language English Country United States of America Public work category ADC No. of Archival Copy 13193 Repercussion category MOOTHATHU, T. K. Subrahmonian - OPROCHA, Piotr. Shadowing, entropy and minimal subsystems. In Monatshefte für Mathematik. ISSN 0026-9255, 2013, vol. 172, no. 3-4, pp. 357-378.
MORALES, C. A. Shadowable points. In Dynamical systems-an international journal. ISSN 1468-9367, 2016, vol. 31, no. 3, pp. 347-356.
DVOŘÁKOVÁ, Jana - NEUMAERKER, Natascha - ŠTEFANKOVÁ, Marta. On omega-limit sets of non-autonomous dynamical systems with a uniform limit of type 2(infinity). In Journal of difference equations and applications. ISSN 1023-6198, 2016, vol. 22, no. 4, pp. 636-644.
MARZOUGUI, Habib - NAGHMOUCHI, Issam. On totally periodic omega-limit sets. In Houston journal of mathematics. ISSN 0362-1588, 2017, vol. 43, no. 4, pp. 1291-1303.
SUN, Taixiang - TANG, Yalin - SU, Guangwang - XI, Hongjian - QIN, Bin. Special alpha-limit points and gamma-limit points of a dendrite map. In Qualitative theory of dynamical systems. ISSN 1575-5460, 2018, vol. 17, no. 1, pp. 245-257.
FERNANDEZ-DUQUE, David. The intuitionistic temporal logic of dynamical systems. In Logical methods in computer science. ISSN 1860-5974, 2018, vol. 14, no. 3.
MARZOUGUI, Habib - NAGHMOUCHI, Issam. Minimal sets and orbit spaces for group actions on local dendrites. In Mathematische Zeitschrift. ISSN 0025-5874, 2019, vol. 293, no. 3-4, pp. 1057-1070.
SALEM, Aymen Haj - HATTAB, Hawete - REJEIBA, Tarek. Equicontinuous local dendrite maps. In Applied general topology. ISSN 1989-4147, 2021, vol. 22, no. 1, pp. 67-77.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Measure of noninvertibility of minimal maps Par.title Miera neinvertovateľnosti minimálnych zobrazení Author info Tomasz Downarowicz, Peter Maličký, Ľubomír Snoha, Vladimír Špitalský Co-authors Downarowicz Tomasz (25%)
Another authors Maličký Peter 1956- (Author) (25%) UMBFP10 - Katedra matematiky
Snoha Ľubomír 1955- (Author) (25%) UMBFP10 - Katedra matematiky
Špitalský Vladimír 1973- (Author) (25%) UMBFP10 - Katedra matematiky
Source document Journal of Mathematical Analysis and Applications. Vol. 317, no. 2 (2006), pp. 714-723. - San Diego : Academic Press, 2006 Keywords invariantné miery minimálny systém neinvertovateľnosť semikocyklus Toeplitzov tok invariant measures minimal system noninvertibility semiocycle Toeplicz flow Language English Country United States of America systematics 51 Public work category ADC No. of Archival Copy 4982 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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