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master's thesis
Topološki Markovljevi lanci
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:272007
Slavica, Grgo
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Slavica, G. (2015). Topološki Markovljevi lanci (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:272007

Slavica, Grgo. "Topološki Markovljevi lanci." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:272007

Slavica, Grgo. "Topološki Markovljevi lanci." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:272007

Slavica, G. (2015). 'Topološki Markovljevi lanci', Master's thesis, University of Zagreb, Faculty of Science, accessed 03 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:272007

Slavica G. Topološki Markovljevi lanci [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 November 03] Available at: https://urn.nsk.hr/urn:nbn:hr:217:272007

G. Slavica, "Topološki Markovljevi lanci", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:272007

Metadata
TitleTopološki Markovljevi lanci
AuthorGrgo Slavica
MentorPavle Goldstein (mentor)
Committee memberPavle Goldstein (predsjednik povjerenstva)
Committee memberMiljenko Huzak (član povjerenstva)
Committee memberNela Bosner (član povjerenstva)
Committee memberVedran Krčadinac (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-09-23, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom diplomskom radu se upoznajemo sa pojmom topoloških Markovljevih lanaca i prostorom na kojem su oni definirani. Diplomski rad je podijeljen u dva glavna poglavlja. U prvom poglavlju definiramo pojmove potrebne za definiciju topološkog Markovljevog lanca i navodimo metriku koja će inducirati topologiju na topološkim Markovljevim lancima. Također, upoznali smo se i sa pojmom Markovljeve particije. U drugom poglavlju bavimo se ekvivalencijom toka (eng. flow equivalence) i iznosimo važne teoreme i propozicije vezane za tu temu. Na kraju iznosimo postupak provjere da su dva topološka Markovljeva lanca tok ekvivalentna (Franksov rezultat).
Abstract (english)
In this thesis, we are concerned with topological Markov chains and various equivalence relations defined on them. In the first part, we give the background on metric and topological spaces, introduce topological Markov chains and Markov partitions. In the second part, we define flow equivalence and state several important results regarding flow equivalence characterization. Finally, we state and explain Franks result regarding algebraic invariants of flow equivalence.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:272007
Study programmeTitle: Mathematical Statistics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-02-06 15:31:07