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master's thesis
Fazni prijelazi u diskretnim dinamičkim sustavima
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:094340
Janković, Barbara
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Janković, B. (2016). Fazni prijelazi u diskretnim dinamičkim sustavima (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:094340

Janković, Barbara. "Fazni prijelazi u diskretnim dinamičkim sustavima." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:094340

Janković, Barbara. "Fazni prijelazi u diskretnim dinamičkim sustavima." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:094340

Janković, B. (2016). 'Fazni prijelazi u diskretnim dinamičkim sustavima', Master's thesis, University of Zagreb, Faculty of Science, accessed 26 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:094340

Janković B. Fazni prijelazi u diskretnim dinamičkim sustavima [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 November 26] Available at: https://urn.nsk.hr/urn:nbn:hr:217:094340

B. Janković, "Fazni prijelazi u diskretnim dinamičkim sustavima", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:094340

Metadata
TitleFazni prijelazi u diskretnim dinamičkim sustavima
AuthorBarbara Janković
MentorSiniša Slijepčević (mentor)
Committee memberSiniša Slijepčević (predsjednik povjerenstva)
Committee memberPavle Goldstein (član povjerenstva)
Committee memberMaja Resman (član povjerenstva)
Committee memberSonja Štimac (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2016-12-02, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U prvom poglavlju ovog rada uveli smo bitne pojmove iz Markovljevih lanaca. U drugom poglavlju smo pratili Stavskaya model, jednodimenzionalni vjerojatnosni stanični automat kao primjer modela interakcije čestica koji predstavlja neravnotežni fazni prijelaz. Vidjeli smo da takav model zadovoljava kriterij erozije. Definirali smo \(\sigma\) – algebru pomoću "cilindara". Uveli smo pojam invarijantne mjere i opisali ju. Pokazali smo da Stavskaya model zaista prolazi fazni prijelaz u smislu da kontinuirana varijacija parametra šuma inducira kvalitativnu promjenu ponašanja. Na kraju smo dali procjenu vrijednosti tog šuma.
Abstract (english)
In the first chapter of this work we have introduced important concepts of Markov chains. In the second chapter we followed Stavskaya model, a one-dimensional probabilistic cellular automaton as an example of the model of interaction of particles that represents the non-equilibrium phase transition. We have seen that this model meets the criterion of erosion. We defined \(\sigma\) - algebra using ”cylinders”. We introduced the concept of invariant measure and described it. We have shown that Stavskaya model really undergoes a phase transition in the sense that the continuous variation of the parameter noise induces qualitative behavior change. Finally, we gave the assessment of the value of that noise parameter.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:094340
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 on2017-03-22 10:53:34