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Title Topology and topological sequence entropy Author info Ľubomír Snoha, Xiangdong Ye, Ruifeng Zhang Author Snoha Ľubomír 1955- (34%) UMBFP10 - Katedra matematiky
Co-authors Ye Xiangdong (33%)
Zhang Ruifeng (33%)
Source document Science China Mathematics. Vol. 63, no. 2 (2020), pp. 205-296. - Peking : Science China Press, 2020 Keywords topologická entropia sekvenciálna rigidné kontinuum - rigid continuum Cookovo kontinuum - Cook continuum Form. Descr. štúdie - studies Language English Country China Annotation Pre kompaktný metrický priestor X a spojité zobrazenie T na ňom uvažujme o supréme všetkých topologických sekvenciálnych entropií zobrazenia T. Nech S(X) je množina takýchto hodnôt pre všetky spojité zobrazenia T na danom priestore X. V práci sú opísané všetky možnosti, ako môže množina S(X) vyzerať. Príslušné priestory X realizujúce jednotlivé možnosti sú nájdené v triede jednorozmerných kontinuí. Pri ich konštruovaní sa využívajú Cookove kontinuá. Ide o prvý prípad netriviálneho využitia týchto veľmi rigidných kontinuí v dynamike. V práci je ďalej ukázané, že rovnaká charakterizácia množín S(X) platí aj keď uvažujeme o homeomorfizmoch namiesto všetkých spojitých zobrazení. Analogický problém sa skúma aj pre akcie grúp. URL Link na plný text Public work category ADC No. of Archival Copy 48175 Repercussion category FENG, Wang - KAI, Lu - ZE, Gong. Investigation of DDR T-topology port resistance. In ITAIC 2020 : 9th IEEE joint international information technology and artificial intelligence conference, Chongqing, 11th-13th December 2020. ISSN 2693-2865, 2020, vol. 9, DOI 10.1109/ITAIC49862.2020.9338836, pp. 98-108.
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 Local correlation entropy Author info Vladimír Špitalský Author Špitalský Vladimír 1973- (100%) UMBFP10 - Katedra matematiky
Source document Discrete and Continuous Dynamical Systems. Vol. 38, no. 11 (2018), pp. 5711-5733. - Sprinfield : American Institute of Mathematical Sciences, 2018 Keywords local correlation entropy topologická entropia - topological entropy recurrence plot Language English Country United States of America systematics 51 URL Link na zdrojový dokument Public work category ADC No. of Archival Copy 43742 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
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 unrecognised
Title Local entropy theory of a random dynamical system Author info Anthony H. Dooley, Guohua Zhang Author Dooley Anthony H.
Co-authors Zhang Guohua
Issue data Providence, Rhode island : American Mathematical Society , 2015. - v; 206 s., 26 cm Issue [1st ed.] Edition Memoirs of the American Mathematical Society , "Volume 233, Number 1099 (fifth of 6 numbers), January 2015" ISBN 978-1-4704-1055-1 Note Bibliografia s. 103-106 Keywords matematická analýza - mathematical analysis topologická entropia - topological entropy topologická dynamika - topological dynamics Language English Country United States of America systematics 517 517.987.5 517.938 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 350597 Univerzita Mateja Bela Department of mathematics In-Library Use Only Title Topological entropy of transitive dendrite maps Author info Vladimír Špitalský Author Špitalský Vladimír 1973- (100%) UMBFP10 - Katedra matematiky
Source document Ergodic Theory and Dynamical Systems. Vol. 35, no. 4 (2015), pp. 1289-1314. - Cambridge : Cambridge University Press, 2015 Keywords topologická entropia - topological entropy transitive system exact systems dendrites Language English Country United States of America systematics 515.1 URL Link na plný text Public work category ADC No. of Archival Copy 27286 Repercussion category BYSZEWSKI, Jakub - FALNIOWSKI, Fryderyk - KWIETNIAK, Dominik. Transitive dendrite map with zero entropy. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2017, vol. 37, no. 7 , pp. 2077-2083.
SHI, Enhui - WANG, Suhua - DI, Yan. Sensitivity of dendrite maps. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2017, vol. 446, no. 1, pp. 908-919
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Invariance entropy for deterministic control systems Subtitle an introduction Author info Christoph Kawan Author Kawan Christoph
Issue data Cham : Springer , 2013. - xxii, 270 s., 24 cm Edition Lecture Notes in Mathematics , 2089, 0075-8434 ISBN 978-3-319-01287-2 Note Bibliografia. Register Keywords topologická entropia - topological entropy ergodická teória - ergodic theory Language English Country Switzerland systematics 515.1 519.218.84 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 386140 Univerzita Mateja Bela Department of mathematics In-Library Use Only 
Title Rozšírenia dynamických systémov bez zväčšenia entropie Subtitle dizertačná doktorandská práca Author info Matúš Dirbák; školiteľ: Lubomír Snoha Author Dirbák Matúš 1983-
Another authors Snoha Ľubomír 1955- (Školiteľ (konzultant))
Corporation Univerzita Mateja Bela . Fakulta prírodných vied . Katedra matematiky , Banská Bystrica, Slovensko Issue data Banská Bystrica , 2013. - 137 s. Keywords topologická entropia - topological entropy trojuholníkové zobrazenia matematika - mathematics Language Slovak Country Slovak Republic systematics 51 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xk - Kvalifikačné práce Copy count 1, currently available 0, at library only 1 
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Title Minimality, transitivity, mixing and topological entropy on spaces with a free interval Author info Matúš Dirbák, Ľubomír Snoha, Vladimír Špitalský Author Dirbák Matúš 1983- (34%) UMBFP10 - Katedra matematiky
Co-authors Snoha Ľubomír 1955- (33%) UMBFP10 - Katedra matematiky
Špitalský Vladimír 1973- (33%) UMBFP10 - Katedra matematiky
Source document Ergodic Theory and Dynamical Systems. Vol. 33, no. 6 (2013), pp. 1786-1812. - Cambridge : Cambridge University Press, 2013 Keywords topologická entropia - topological entropy transitive system mixing system dense periodicity Continuum (Mathematics) disconnecting interval Language English Country Great Britian systematics 51 URL Link na zdrojový dokument Public work category ADC No. of Archival Copy 22153 Repercussion category HOEHN, Logan - MOURON, Christopher. Hierarchies of chaotic maps on continua. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2014, vol. 34, pp. 1897-1913.
HARANCZYK, Grzegorz - KWIETNIAK, Dominik - OPROCHA, Piotr. Topological structure and entropy of mixing graph maps. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2014, vol. 34, pp. 1587-1614.
OPROCHA, Piotr. Transitivity, two-sided limit shadowing property and dense omega-chaos. In Journal of the Korean mathematical society. ISSN 0304-9914, 2014, vol. 51, no. 4, pp. 837-851.
MAI, Jiehua - SHI, Enhui - WANG, Suhua. Sensitive semigroups of mappings on Peano continua having a free arc. In Topology and its applications. ISSN 0166-8641, 2015, vol. 194, pp. 159-165.
SHI, En Hui - WANG, Su Hua - MA, Li Ying. Sensitive open maps on Peano continua having a free arc. In Acta mathematica sinica - english series. ISSN 1439-8516, 2016, vol. 32, no. 6, pp. 736-744.
GARG, Mukta - DAS, Ruchi. Exploring stronger forms of transitivity on G-spaces. In Matematicki vesnik. ISSN 0025-5165, 2017, vol. 69, no. 3, pp. 164-175.
ACOSTA, Gerardo - HERNÁNDEZ-GUTIÉRREZ, Rodrigo - NAGHMOUCHI, Issam - OPROCHA, Piotr. Periodic points and transitivity on dendrites. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2017, vol. 37, no. 7, pp. 2017-2033.
BYSZEWSKI, Jakub - FALNIOWSKI, Fryderyk - KWIETNIAK, Dominik. Transitive dendrite map with zero entropy. In Ergodic theory and dynamical systems. ISSN 0143-3857, 2017, vol. 37, no. 7, pp. 2077-2083.
SHI, Enhui - WANG, Suhua - DI, Yan. Sensitivity of dendrite maps. In Journal of mathematical analysis and applications. ISSN 0022-247X, 2017, vol. 446, no. 1, pp. 908-919.
FADEL, Asmaa - DZUL-KIFLI, Syahida Che. Some chaos notions on dendrites. In Symmetry (Basel). ISSN 2073-8994, 2019, vol. 11, no. 10, pp. 1-10.
Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika unrecognised
Title Topological entropy of transitive dendrite maps Author info Vladimír Špitalský Author Špitalský Vladimír 1973- (100%) UMBFP10 - Katedra matematiky
Source document arXiv:1209.5344v1 : [math.DS]. (2012), s. [1-26] Keywords topologická entropia - topological entropy transitive dendrite maps Language English systematics 515.1 URL http://arxiv.org/abs/1209.5344 Public work category AFI No. of Archival Copy 23326 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ book
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
