An Elementary Counterexample to the Finiteness Conjecture

master
dc.abstract.enWe study two generalizations of spectral radius to sets of matrices together with their properties. These are called the joint/generalized spectral radius. The topic of the thesis is the Lagarias-Wang conjecture. The Lagarias-Wang conjecture was proven to be false in general. In the thesis, we discuss a counterexample and some cases in which the conjecture might still hold.pl
dc.abstract.plWe study two generalizations of spectral radius to sets of matrices together with their properties. These are called the joint/generalized spectral radius. The topic of the thesis is the Lagarias-Wang conjecture. The Lagarias-Wang conjecture was proven to be false in general. In the thesis, we discuss a counterexample and some cases in which the conjecture might still hold.pl
dc.affiliationWydział Matematyki i Informatykipl
dc.areaobszar nauk ścisłychpl
dc.contributor.advisorByszewski, Jakub - 200609 pl
dc.contributor.authorBuldag, Damlapl
dc.contributor.departmentbycodeUJK/WMI2pl
dc.contributor.reviewerKwietniak, Dominik - 129836 pl
dc.contributor.reviewerByszewski, Jakub - 200609 pl
dc.date.accessioned2020-07-27T17:42:37Z
dc.date.available2020-07-27T17:42:37Z
dc.date.submitted2018-07-05pl
dc.fieldofstudymatematyka ogólnapl
dc.identifier.apddiploma-125081-224667pl
dc.identifier.projectAPD / Opl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/229327
dc.languageengpl
dc.subject.enSpectral radius, joint spectral radius, generalized spectral radius, finiteness property, Lagarias-Wang conjecture, combinatorics on wordspl
dc.subject.plSpectral radius, joint spectral radius, generalized spectral radius, finiteness property, Lagarias-Wang conjecture, combinatorics on wordspl
dc.titleAn Elementary Counterexample to the Finiteness Conjecturepl
dc.typemasterpl
dspace.entity.typePublication
dc.abstract.enpl
We study two generalizations of spectral radius to sets of matrices together with their properties. These are called the joint/generalized spectral radius. The topic of the thesis is the Lagarias-Wang conjecture. The Lagarias-Wang conjecture was proven to be false in general. In the thesis, we discuss a counterexample and some cases in which the conjecture might still hold.
dc.abstract.plpl
We study two generalizations of spectral radius to sets of matrices together with their properties. These are called the joint/generalized spectral radius. The topic of the thesis is the Lagarias-Wang conjecture. The Lagarias-Wang conjecture was proven to be false in general. In the thesis, we discuss a counterexample and some cases in which the conjecture might still hold.
dc.affiliationpl
Wydział Matematyki i Informatyki
dc.areapl
obszar nauk ścisłych
dc.contributor.advisorpl
Byszewski, Jakub - 200609
dc.contributor.authorpl
Buldag, Damla
dc.contributor.departmentbycodepl
UJK/WMI2
dc.contributor.reviewerpl
Kwietniak, Dominik - 129836
dc.contributor.reviewerpl
Byszewski, Jakub - 200609
dc.date.accessioned
2020-07-27T17:42:37Z
dc.date.available
2020-07-27T17:42:37Z
dc.date.submittedpl
2018-07-05
dc.fieldofstudypl
matematyka ogólna
dc.identifier.apdpl
diploma-125081-224667
dc.identifier.projectpl
APD / O
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/229327
dc.languagepl
eng
dc.subject.enpl
Spectral radius, joint spectral radius, generalized spectral radius, finiteness property, Lagarias-Wang conjecture, combinatorics on words
dc.subject.plpl
Spectral radius, joint spectral radius, generalized spectral radius, finiteness property, Lagarias-Wang conjecture, combinatorics on words
dc.titlepl
An Elementary Counterexample to the Finiteness Conjecture
dc.typepl
master
dspace.entity.type
Publication

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