{"id":"https://openalex.org/W2775200085","doi":"https://doi.org/10.48550/arxiv.1802.07359","title":"Positive temperature dynamics on Gelfand-Tsetlin patterns restricted by wall","display_name":"Positive temperature dynamics on Gelfand-Tsetlin patterns restricted by wall","publication_year":2018,"publication_date":"2018-02-20","ids":{"openalex":"https://openalex.org/W2775200085","doi":"https://doi.org/10.48550/arxiv.1802.07359","mag":"2775200085"},"language":"en","primary_location":{"id":"pmh:oai:wrap.warwick.ac.uk:93408","doi":null,"is_oa":true,"landing_page_url":"http://wrap.warwick.ac.uk/93408/1/WRAP_Theses_Nteka_2016.pdf","pdf_url":"http://wrap.warwick.ac.uk/93408/1/WRAP_Theses_Nteka_2016.pdf","source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Thesis or Dissertation"},"volume":null,"type":"dissertation","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://wrap.warwick.ac.uk/93408/1/WRAP_Theses_Nteka_2016.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043770737","display_name":"Ioanna Nteka","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Nteka, Ioanna","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5043770737"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.5088000297546387,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.5088000297546387,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.22840000689029694,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.05040000006556511,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/gelfand-tsetlin-patterns","display_name":"Gelfand-Tsetlin patterns","score":0.9900000095367432},{"id":"https://openalex.org/keywords/positive-temperature","display_name":"positive temperature","score":0.6169999837875366},{"id":"https://openalex.org/keywords/doob-h-transform","display_name":"Doob h-transform","score":0.8619999885559082},{"id":"https://openalex.org/keywords/q-deformation","display_name":"q-deformation","score":0.925000011920929},{"id":"https://openalex.org/keywords/branching-processes","display_name":"branching processes","score":0.8019999861717224},{"id":"https://openalex.org/keywords/random-walks","display_name":"random walks","score":0.652999997138977},{"id":"https://openalex.org/keywords/dyson-brownian-motion","display_name":"Dyson Brownian motion","score":0.6909999847412109},{"id":"https://openalex.org/keywords/weyl-chambers","display_name":"Weyl chambers","score":0.7329999804496765}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8319807052612305},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.7090543508529663},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.6120476722717285},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5468809008598328},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.5116177201271057},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.49499648809432983},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.43468862771987915},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4248160123825073},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4167570173740387},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32563090324401855},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:wrap.warwick.ac.uk:93408","doi":null,"is_oa":true,"landing_page_url":"http://wrap.warwick.ac.uk/93408/1/WRAP_Theses_Nteka_2016.pdf","pdf_url":"http://wrap.warwick.ac.uk/93408/1/WRAP_Theses_Nteka_2016.pdf","source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Thesis or Dissertation"},{"id":"pmh:oai:arXiv.org:1802.07359","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1802.07359","pdf_url":"https://arxiv.org/pdf/1802.07359","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.1802.07359","doi":"https://doi.org/10.48550/arxiv.1802.07359","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1802.07359","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"},{"id":"mag:2775200085","doi":null,"is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1802.07359","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.82444/warw.33746050","doi":"https://doi.org/10.82444/warw.33746050","is_oa":true,"landing_page_url":"https://doi.org/10.82444/warw.33746050","pdf_url":null,"source":{"id":"https://openalex.org/S7407060609","display_name":"University of Warwick","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Dissertation"}],"best_oa_location":{"id":"pmh:oai:wrap.warwick.ac.uk:93408","doi":null,"is_oa":true,"landing_page_url":"http://wrap.warwick.ac.uk/93408/1/WRAP_Theses_Nteka_2016.pdf","pdf_url":"http://wrap.warwick.ac.uk/93408/1/WRAP_Theses_Nteka_2016.pdf","source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Thesis or Dissertation"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2775200085.pdf","grobid_xml":"https://content.openalex.org/works/W2775200085.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1552186532","https://openalex.org/W1579213680","https://openalex.org/W1587515270","https://openalex.org/W1614948569","https://openalex.org/W1633327317","https://openalex.org/W1651882306","https://openalex.org/W1691157804","https://openalex.org/W1987747423","https://openalex.org/W1988076732","https://openalex.org/W1994361750","https://openalex.org/W2014678176","https://openalex.org/W2026850024","https://openalex.org/W2033560084","https://openalex.org/W2037954342","https://openalex.org/W2044980412","https://openalex.org/W2053341413","https://openalex.org/W2063895330","https://openalex.org/W2078846859","https://openalex.org/W2104454175","https://openalex.org/W2106589950","https://openalex.org/W2134127045","https://openalex.org/W2146301993","https://openalex.org/W2151530271","https://openalex.org/W2161609840","https://openalex.org/W2166155942","https://openalex.org/W2269170106","https://openalex.org/W2282106977","https://openalex.org/W2320951892","https://openalex.org/W2320981881","https://openalex.org/W2592016815","https://openalex.org/W2626551068","https://openalex.org/W2963592240","https://openalex.org/W3037430403","https://openalex.org/W3098269420","https://openalex.org/W3103061713"],"related_works":["https://openalex.org/W2800526474","https://openalex.org/W2900876210","https://openalex.org/W2342500919","https://openalex.org/W2292820521","https://openalex.org/W2122541474","https://openalex.org/W2891384062","https://openalex.org/W2950059415","https://openalex.org/W2952626637","https://openalex.org/W2998077486","https://openalex.org/W2952403984","https://openalex.org/W2004431510","https://openalex.org/W3103011773","https://openalex.org/W2999699746","https://openalex.org/W2167758947","https://openalex.org/W2963196649","https://openalex.org/W2146470784","https://openalex.org/W2071867005","https://openalex.org/W3101940345","https://openalex.org/W2401780273","https://openalex.org/W2935232227"],"abstract_inverted_index":{"The":[0,149],"thesis":[1],"focuses":[2],"on":[3,5,133,164],"processes":[4,150],"symplectic":[6,46],"Gelfand-Tsetlin":[7],"patterns.":[8],"In":[9,77,94],"chapter":[10,78,95,119],"4,":[11],"a":[12,34,56,64,71,82,89,131,137,159],"process":[13,87,90,132],"with":[14,41,177,180],"dynamics":[15],"inspired":[16],"by":[17,44,52],"the":[18,28,31,45,74,99,102,105,109,126,142,168,171,181],"Berele":[19],"correspondence":[20],"[Ber86]":[21],"is":[22,25,33,50,68],"presented.":[23],"It":[24],"proved":[26],"that":[27,162],"shape":[29],"of":[30,37,73,101,104,141,146,154,170,174],"pattern":[32],"Doob":[35],"$h$-transform":[36],"independent":[38],"random":[39],"walks":[40],"$h$":[42,178],"given":[43],"Schur":[47],"function.":[48],"This":[49,59,86],"followed":[51],"an":[53],"extension":[54],"to":[55,70,108,125],"$q$-weighted":[57],"version.":[58],"randomised":[60,84],"version":[61],"has":[62],"itself":[63],"branching":[65],"structure":[66],"and":[67,129],"related":[69,179],"$q$-deformation":[72,103],"$so_{2n+1}$-Whittaker":[75,106,111,182],"functions.":[76,183],"5,":[79],"we":[80,97,121],"present":[81],"fully":[83],"process.":[85],"$q$-deforms":[88],"proposed":[91],"in":[92,118],"[WW09].":[93],"7":[96],"prove":[98],"convergence":[100],"functions":[107,112],"classical":[110],"when":[113],"$q":[114],"\\to":[115],"1$.":[116],"Finally,":[117],"8":[120],"turn":[122],"our":[123],"interest":[124],"continuous":[127,160],"setting":[128],"construct":[130],"patterns":[134],"which":[135],"contains":[136],"positive":[138],"temperature":[139],"analogue":[140],"Dyson's":[143],"Brownian":[144,155],"motion":[145],"type":[147,175],"$B/C$.":[148],"obtained":[151],"are":[152],"$h$-transforms":[153],"motions":[156],"killed":[157],"at":[158],"rate":[161],"depends":[163],"their":[165],"distance":[166],"from":[167],"boundary":[169],"Weyl":[172],"chamber":[173],"$B/C$,":[176]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}
