{"id":{"repo_id":"brazil-uff","oai_identifier":"oai:app.uff.br:1/19239"},"canonical_url":"https://search.dev.ndltd.org/etd/brazil-uff/oai:app.uff.br:1/19239","repository":{"repo_id":"brazil-uff","name":"Brazil UFF","base_url":"https://app.uff.br/oai/request"},"display":{"title":"Recobrimentos no espaço hiperbólico e percolação na árvore binária estendida","abstract":"We study the percolation problem on the enhanced binary tree, a simple structure that exhibits geometric features of hyperbolic spaces: a non-vanishing surface-volume ratio, the latter being compact. The violation of Euclid s fifth postulate, assuring the possibility of an infinity of paralel to a given ray meeting at a point, allows for a richer set of phenomena, like the existence of infinite giant clusters coexisting on a critical phase. We find two phase transitions for this tree, as reported on the literature, the first being on the universality class as percolation on hyperbolic lattices. Our results for the second phase transition agree with some results from the literature, although better studies are needed in order to assess its true scaling behavior.","abstract_html":"We study the percolation problem on the enhanced binary tree, a simple structure that exhibits geometric features of hyperbolic spaces: a non-vanishing surface-volume ratio, the latter being compact. The violation of Euclid s fifth postulate, assuring the possibility of an infinity of paralel to a given ray meeting at a point, allows for a richer set of phenomena, like the existence of infinite giant clusters coexisting on a critical phase. We find two phase transitions for this tree, as reported on the literature, the first being on the universality class as percolation on hyperbolic lattices. Our results for the second phase transition agree with some results from the literature, although better studies are needed in order to assess its true scaling behavior.","abstract_has_math":false,"creators":["Lara, Vitor de Oliveira Moraes"],"institution":"Programa de Pós-graduação em Física","degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-01-01","date_published":"2011-01-01","updated_at":"2026-07-27T19:00:59Z","subjects":["Mecânica estatística","Geometria hiperbólica","Geometria euclidiana","Transição de fase","Fenômeno crítico"],"languages":["por"],"rights":["Acesso Aberto"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://app.uff.br/riuff/handle/1/19239","outbound_label":"Repository record","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:creator","label":"Author","values":["Lara, Vitor de Oliveira Moraes"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2021-03-10T20:46:53Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2011-05-24","2021-03-10T20:46:53Z"]},{"key":"dc:date.issued","label":"Date","values":["2011-01-01"]},{"key":"dc:publisher.department","label":"Dc Publisher Department","values":["Física"]},{"key":"dc:type","label":"Dc Type","values":["Dissertação"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mecânica estatística","Geometria hiperbólica","Geometria euclidiana","Transição de fase","Fenômeno crítico"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["por"]},{"key":"dc:rights","label":"Dc Rights","values":["Acesso Aberto"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://app.uff.br/riuff/handle/1/19239"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We study the percolation problem on the enhanced binary tree, a simple structure that exhibits geometric features of hyperbolic spaces: a non-vanishing surface-volume ratio, the latter being compact. The violation of Euclid s fifth postulate, assuring the possibility of an infinity of paralel to a given ray meeting at a point, allows for a richer set of phenomena, like the existence of infinite giant clusters coexisting on a critical phase. We find two phase transitions for this tree, as reported on the literature, the first being on the universality class as percolation on hyperbolic lattices. Our results for the second phase transition agree with some results from the literature, although better studies are needed in order to assess its true scaling behavior."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Recobrimentos no espaço hiperbólico e percolação na árvore binária estendida"]}]}],"canonical_facts":{"dc:creator":["Lara, Vitor de Oliveira Moraes"],"dc:date.accessioned":["2021-03-10T20:46:53Z"],"dc:date.available":["2011-05-24","2021-03-10T20:46:53Z"],"dc:date.issued":["2011-01-01"],"dc:description.abstract":["We study the percolation problem on the enhanced binary tree, a simple structure that exhibits geometric features of hyperbolic spaces: a non-vanishing surface-volume ratio, the latter being compact. The violation of Euclid s fifth postulate, assuring the possibility of an infinity of paralel to a given ray meeting at a point, allows for a richer set of phenomena, like the existence of infinite giant clusters coexisting on a critical phase. We find two phase transitions for this tree, as reported on the literature, the first being on the universality class as percolation on hyperbolic lattices. Our results for the second phase transition agree with some results from the literature, although better studies are needed in order to assess its true scaling behavior."],"dc:format":["application/pdf"],"dc:identifier.uri":["https://app.uff.br/riuff/handle/1/19239"],"dc:language":["por"],"dc:publisher.department":["Física"],"dc:rights":["Acesso Aberto"],"dc:subject":["Mecânica estatística","Geometria hiperbólica","Geometria euclidiana","Transição de fase","Fenômeno crítico"],"dc:title":["Recobrimentos no espaço hiperbólico e percolação na árvore binária estendida"],"dc:type":["Dissertação"]},"updated_at":"2026-07-27T19:00:59Z"}