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master's thesis
Analiza faznih prijelaza u kompleksnim mrežama
Zagreb: University of Zagreb, Faculty of Science, 2017. urn:nbn:hr:217:443018
Medvidović, Matija
University of Zagreb
Faculty of Science
Department of Physics

Institutional repository: Repository of the Faculty of Science

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Medvidović, M. (2017). Analiza faznih prijelaza u kompleksnim mrežama (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:443018

Medvidović, Matija. "Analiza faznih prijelaza u kompleksnim mrežama." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:443018

Medvidović, Matija. "Analiza faznih prijelaza u kompleksnim mrežama." Master's thesis, University of Zagreb, Faculty of Science, 2017. https://urn.nsk.hr/urn:nbn:hr:217:443018

Medvidović, M. (2017). 'Analiza faznih prijelaza u kompleksnim mrežama', Master's thesis, University of Zagreb, Faculty of Science, accessed 19 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:443018

Medvidović M. Analiza faznih prijelaza u kompleksnim mrežama [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2017 [cited 2024 December 19] Available at: https://urn.nsk.hr/urn:nbn:hr:217:443018

M. Medvidović, "Analiza faznih prijelaza u kompleksnim mrežama", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:217:443018

Metadata
TitleAnaliza faznih prijelaza u kompleksnim mrežama
Title (english)Phase transition analysis in complex networks
AuthorMatija Medvidović
MentorDavor Horvatić (mentor)
Committee memberDavor Horvatić (predsjednik povjerenstva)
Committee memberMatko Milin (član povjerenstva)
Committee memberIvica Smolić (član povjerenstva)
Committee memberMihael Makek (član povjerenstva)
Committee memberTomislav Marketin (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Physics)
Zagreb
Defense date and country2017-09-21, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
U ovom diplomskom radu promatramo modele intrigirajućih mreža koji su u širokoj primjeni u analizi i predviđanju ponašanja mreža u stvarnom svijetu, poput mapa interneta ili modela tržišta. Na odabranim primjerima koristimo matematičke metode statističke fizike kako bismo razvili generalnije formalizme tretiranja različitih klasa mreža te opisali njihovo kritično ponašanje. Modele dijelimo na statičke i dinamičke, identificirajući parametre uređenja i koristeći aproksimacije srednjeg polja pri izračunu kritičnih eksponenata. Diskusijom o ograničenjima svakog modela i primjenjivosti metoda rješavanja, uspostavljamo analogiju sa statističkom fizikom i najznačajnije primjene na stvarne mreže.
Abstract (english)
We examine a few select interacting network models with broad real-world applications ranging from internet maps to economic market modeling. Employing the mathematical formalism of statistical physics, we show its range of applicability in developing more general ways of treating classes of networks as well as describing and classifying their critical phenomena. By tackling static and dynamical models separately, we emphasize their conceptual differences manifesting in the mean-field calculations of critical exponents. Ultimately, we discuss model limitations and point out their use in terms of describing real-world network critical phenomena.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:443018
Study programmeTitle: Physics; specializations in: Research
Course: Research
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra fizike (magistar/magistra fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2017-10-06 11:36:57