RUSSO-SEYMOUR-WELSH ON PERCOLATION MODELS

Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/186880

DC Field	Value
dc.title	RUSSO-SEYMOUR-WELSH ON PERCOLATION MODELS
dc.contributor.author	GOH FANG TING
dc.date.accessioned	2021-03-01T18:01:13Z
dc.date.available	2021-03-01T18:01:13Z
dc.date.issued	2021-01-19
dc.identifier.citation	GOH FANG TING (2021-01-19). RUSSO-SEYMOUR-WELSH ON PERCOLATION MODELS. ScholarBank@NUS Repository.
dc.identifier.uri	https://scholarbank.nus.edu.sg/handle/10635/186880
dc.description.abstract	In this thesis, we summarize the recent Russo-Seymour-Welsh (RSW) results and the application of the RSW result to evaluate crossing probabilities at criticality for both the Voronoi percolation and random cluster model. The statements and proofs follow closely the individual work of Tassion and the joint work of Duminil-Copin and Tassion with additional remarks and details to make the proofs more accessible.
dc.language.iso	en
dc.subject	Voronoi percolation, Random cluster model, Russo-Seymour-Welsh, crossing probability
dc.type	Thesis
dc.contributor.department	MATHEMATICS
dc.contributor.supervisor	Rongfeng Sun
dc.description.degree	Master's
dc.description.degreeconferred	MASTER OF SCIENCE (RSH-FOS)
Appears in Collections:	Master's Theses (Open)

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