{"id":{"repo_id":"nus","oai_identifier":"oai:scholarbank.nus.edu.sg:10635/186880"},"canonical_url":"https://search.dev.ndltd.org/etd/nus/oai:scholarbank.nus.edu.sg:10635/186880","repository":{"repo_id":"nus","name":"National University of Singapore","base_url":"https://scholarbank.nus.edu.sg/oai/request"},"display":{"title":"RUSSO-SEYMOUR-WELSH ON PERCOLATION MODELS","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.","abstract_html":"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.","abstract_has_math":false,"creators":["GOH FANG TING"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2021,"date_issued":"2021-01-19","date_published":"2021-01-19","updated_at":"2026-07-24T03:31:38Z","subjects":["Voronoi percolation, Random cluster model, Russo-Seymour-Welsh, crossing probability"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["GOH FANG TING"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.issued","label":"Date","values":["2021-01-19"]},{"key":"dc:relation.isreferencedby","label":"Dc Relation Isreferencedby","values":["https://scholarbank.nus.edu.sg/handle/10635/186880"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Voronoi percolation, Random cluster model, Russo-Seymour-Welsh, crossing probability"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://scholarbank.nus.edu.sg/bitstreams/04012d7a-252d-4b31-99ea-bc2d7499ab66/download"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:format.checksum.md5","label":"Dc Format Checksum Md5","values":["d7ce9cc019a0e4fb9c514d8d47b067a6","cfcc2fdc01994215bf338bd2f46a5724"]},{"key":"dc:title","label":"Title","values":["RUSSO-SEYMOUR-WELSH ON PERCOLATION MODELS"]}]}],"canonical_facts":{"dc:creator":["GOH FANG TING"],"dc:date.issued":["2021-01-19"],"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:format.checksum.md5":["d7ce9cc019a0e4fb9c514d8d47b067a6","cfcc2fdc01994215bf338bd2f46a5724"],"dc:identifier.uri":["https://scholarbank.nus.edu.sg/bitstreams/04012d7a-252d-4b31-99ea-bc2d7499ab66/download"],"dc:relation.isreferencedby":["https://scholarbank.nus.edu.sg/handle/10635/186880"],"dc:subject":["Voronoi percolation, Random cluster model, Russo-Seymour-Welsh, crossing probability"],"dc:title":["RUSSO-SEYMOUR-WELSH ON PERCOLATION MODELS"],"dc:type":["Thesis"]},"updated_at":"2026-07-24T03:31:38Z"}