Hyperbolic Voronoi Percolation

Benjamin Hansen

doi:10.33612/diss.178634667

Hyperbolic Voronoi Percolation

Benjamin Hansen

Probability and Statistics

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In this thesis, we studied the behaviour of the critical probability for percolation of Voronoi cells in the hyperbolic plane. There are profound differences between this model of percolation in the hyperbolic plane and the Euclidean plane. Most notably, the critical probability is a function of the intensity.

Originele taal-2	English
Kwalificatie	Doctor of Philosophy
Toekennende instantie	Rijksuniversiteit Groningen
Begeleider(s)/adviseur	Müller, Tobias, Supervisor Wit, Ernst, Supervisor
Datum van toekenning	10-sep.-2021
Plaats van publicatie	[Groningen]
Uitgever	University of Groningen
DOI's	https://doi.org/10.33612/diss.178634667
Status	Published - 2021

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10.33612/diss.178634667

Title and contentsFinal publisher's version, 972 KB
Chapter 1Final publisher's version, 3,43 MB
Chapter 2Final publisher's version, 3,15 MB
Chapter 3Final publisher's version, 800 KB
Chapter 4Final publisher's version, 1,15 MB
Appendix AFinal publisher's version, 231 KB
SummaryFinal publisher's version, 154 KB
SamenvattingFinal publisher's version, 169 KB
AcknowledgementsFinal publisher's version, 64,2 KB
BibliographyFinal publisher's version, 147 KB
Curriculum VitaeFinal publisher's version, 47,7 KB
Complete thesisFinal publisher's version, 8,47 MB
PropositionsFinal publisher's version, 69,3 KB

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title = "Hyperbolic Voronoi Percolation",

abstract = "In this thesis, we studied the behaviour of the critical probability for percolation of Voronoi cells in the hyperbolic plane. There are profound differences between this model of percolation in the hyperbolic plane and the Euclidean plane. Most notably, the critical probability is a function of the intensity.",

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language = "English",

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DO - 10.33612/diss.178634667

M3 - Thesis fully internal (DIV)

PB - University of Groningen

CY - [Groningen]

ER -

Hyperbolic Voronoi Percolation

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