{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/121292"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/121292","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"Cluster expansion approach and fluctuation results in mean field spin glass theory","abstract":"Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2025-08-01","abstract_html":"Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2025-08-01","abstract_has_math":false,"creators":["Wu, Qiang"],"institution":"University of Illinois at Urbana-Champaign","degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Dey, Partha Sarathi","Song , Renming","Baryshnikov, Yuliy","Liu, Jingbo","Nguyen, Oanh"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2023,"date_issued":"2023-08","date_published":"2023-08","updated_at":"2026-07-22T22:24:57Z","subjects":["Free Energy","Spin Glass","Cluster Expansion"],"languages":["en","eng"],"rights":["Copyright 2023 Qiang Wu"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/2142/121292","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Dey, Partha Sarathi","Song , Renming","Baryshnikov, Yuliy","Liu, Jingbo","Nguyen, Oanh"]},{"key":"dc:creator","label":"Author","values":["Wu, Qiang"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2023-08","2023-07-13"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Free Energy","Spin Glass","Cluster Expansion"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en","eng"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2023 Qiang Wu"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://hdl.handle.net/2142/121292"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2025-08-01","The student, Qiang Wu, accepted the attached license on 2023-07-05 at 16:56.","The student, Qiang Wu, submitted this Dissertation for approval on 2023-07-05 at 17:06.","This Dissertation was approved for publication on 2023-07-13 at 15:55.","DSpace SAF Submission Ingestion Package generated from Vireo submission #19265 on 2023-12-04 at 17:17:43","Mean field spin glass theory has undergone tremendous development in the last twenty years, particularly with the proof of the Parisi formula for evaluating limiting free energy at any temperature. However, as a variational formula, it is less effective for dealing with higher-order asymptotics, such as related fluctuation problems. This thesis, composed of several papers, is devoted to establishing fluctuation results for a broad range of mean field spin glass models by developing several different techniques."]},{"key":"dc:format","label":"Dc Format","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Cluster expansion approach and fluctuation results in mean field spin glass theory"]}]}],"canonical_facts":{"dc:contributor":["Dey, Partha Sarathi","Song , Renming","Baryshnikov, Yuliy","Liu, Jingbo","Nguyen, Oanh"],"dc:creator":["Wu, Qiang"],"dc:date":["2023-08","2023-07-13"],"dc:description":["Submission published under a 24 month embargo labeled 'U of I Access', the embargo will last until 2025-08-01","The student, Qiang Wu, accepted the attached license on 2023-07-05 at 16:56.","The student, Qiang Wu, submitted this Dissertation for approval on 2023-07-05 at 17:06.","This Dissertation was approved for publication on 2023-07-13 at 15:55.","DSpace SAF Submission Ingestion Package generated from Vireo submission #19265 on 2023-12-04 at 17:17:43","Mean field spin glass theory has undergone tremendous development in the last twenty years, particularly with the proof of the Parisi formula for evaluating limiting free energy at any temperature. However, as a variational formula, it is less effective for dealing with higher-order asymptotics, such as related fluctuation problems. This thesis, composed of several papers, is devoted to establishing fluctuation results for a broad range of mean field spin glass models by developing several different techniques."],"dc:format":["application/pdf"],"dc:identifier":["https://hdl.handle.net/2142/121292"],"dc:language":["en","eng"],"dc:rights":["Copyright 2023 Qiang Wu"],"dc:subject":["Free Energy","Spin Glass","Cluster Expansion"],"dc:title":["Cluster expansion approach and fluctuation results in mean field spin glass theory"],"dc:type":["text"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["University of Illinois at Urbana-Champaign"]},"updated_at":"2026-07-22T22:24:57Z"}