{"id":"https://openalex.org/W7204754636","doi":"https://doi.org/10.48550/arxiv.2608.28131","title":"Reducing the domain of discrete multi-time determinantal point processes","display_name":"Reducing the domain of discrete multi-time determinantal point processes","publication_year":2026,"publication_date":"2026-08-28","ids":{"openalex":"https://openalex.org/W7204754636","doi":"https://doi.org/10.48550/arxiv.2608.28131"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.28131","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.28131","pdf_url":"https://arxiv.org/pdf/2608.28131","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.28131","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051237961","display_name":"Tom Claeys","orcid":"https://orcid.org/0000-0001-9622-2668","observed_orcids":["https://orcid.org/0000-0001-9622-2668"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Claeys, Tom","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5148792419","display_name":"Felix Gideonse","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gideonse, Felix","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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/T11716","display_name":"Random Matrices and Applications","score":0.6646000146865845,"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"}},"topics":[{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.6646000146865845,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.1817999929189682,"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/T10884","display_name":"Holomorphic and Operator Theory","score":0.008100000210106373,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/determinantal-point-processes","display_name":"determinantal point processes","score":0.8809999823570251},{"id":"https://openalex.org/keywords/correlation-kernel","display_name":"correlation kernel","score":0.8190000057220459},{"id":"https://openalex.org/keywords/riemann-hilbert-problem","display_name":"Riemann-Hilbert problem","score":0.9440000057220459},{"id":"https://openalex.org/keywords/domino-tilings","display_name":"domino tilings","score":0.968999981880188},{"id":"https://openalex.org/keywords/aztec-diamond","display_name":"Aztec diamond","score":0.8479999899864197},{"id":"https://openalex.org/keywords/lozenge-tilings","display_name":"lozenge tilings","score":0.9860000014305115},{"id":"https://openalex.org/keywords/integrable-kernels","display_name":"integrable kernels","score":0.890999972820282}],"concepts":[{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.761900007724762},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7544999718666077},{"id":"https://openalex.org/C72010251","wikidata":"https://www.wikidata.org/wiki/Q5265688","display_name":"Determinantal point process","level":4,"score":0.7454000115394592},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5591999888420105},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5582000017166138},{"id":"https://openalex.org/C74193536","wikidata":"https://www.wikidata.org/wiki/Q574844","display_name":"Kernel (algebra)","level":2,"score":0.5511999726295471},{"id":"https://openalex.org/C200741047","wikidata":"https://www.wikidata.org/wiki/Q1957758","display_name":"Integrable system","level":2,"score":0.4880000054836273},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48330000042915344},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4629000127315521},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44440001249313354},{"id":"https://openalex.org/C2776416436","wikidata":"https://www.wikidata.org/wiki/Q3751781","display_name":"Domino","level":3,"score":0.38670000433921814},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.32330000400543213},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31949999928474426},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3068000078201294},{"id":"https://openalex.org/C521332185","wikidata":"https://www.wikidata.org/wiki/Q185816","display_name":"Analogy","level":2,"score":0.30469998717308044},{"id":"https://openalex.org/C88757350","wikidata":"https://www.wikidata.org/wiki/Q1557613","display_name":"L\u00e9vy process","level":2,"score":0.3046000003814697},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.298799991607666},{"id":"https://openalex.org/C53622274","wikidata":"https://www.wikidata.org/wiki/Q2496679","display_name":"Correlation function (quantum field theory)","level":3,"score":0.2955000102519989},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2644999921321869},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.2628999948501587},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.2563000023365021},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.25130000710487366}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.28131","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.28131","pdf_url":"https://arxiv.org/pdf/2608.28131","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.2608.28131","doi":"https://doi.org/10.48550/arxiv.2608.28131","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.28131","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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.28131","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.28131","pdf_url":"https://arxiv.org/pdf/2608.28131","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309729","display_name":"Universit\u00e9 Catholique de Louvain","ror":"https://ror.org/02495e989"},{"id":"https://openalex.org/F4320321390","display_name":"Fonds De La Recherche Scientifique - FNRS","ror":"https://ror.org/03q83t159"},{"id":"https://openalex.org/F4320322308","display_name":"KU Leuven","ror":"https://ror.org/05f950310"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204754636.pdf","grobid_xml":"https://content.openalex.org/works/W7204754636.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W2074367171","https://openalex.org/W3167069467"],"related_works":["https://openalex.org/W7134238897","https://openalex.org/W2115944613","https://openalex.org/W2276358624","https://openalex.org/W6980678586","https://openalex.org/W3035342212","https://openalex.org/W2056423564","https://openalex.org/W2013322419","https://openalex.org/W2950135026","https://openalex.org/W2776826969","https://openalex.org/W7097509874"],"abstract_inverted_index":{"We":[0,24,61],"consider":[1],"a":[2,14,42,58,84],"class":[3],"of":[4,29,37,69,77],"discrete":[5],"multi-time":[6],"determinantal":[7],"point":[8,39],"processes":[9,20],"whose":[10],"correlation":[11,31],"kernels":[12],"admit":[13],"double-contour":[15],"integral":[16],"form,":[17],"containing":[18],"Schur":[19],"as":[21],"simple":[22],"examples.":[23],"show":[25,83],"that":[26],"the":[27,30,38,88],"form":[28],"kernel":[32],"is":[33,55],"preserved":[34],"under":[35],"conditioning":[36],"process":[40],"to":[41,66,74],"restricted":[43],"domain,":[44],"however,":[45],"with":[46,79,87],"an":[47],"integrand":[48],"which":[49,54],"becomes":[50],"more":[51],"complicated":[52],"and":[53,73],"characterized":[56],"by":[57],"Riemann-Hilbert":[59],"problem.":[60],"apply":[62],"our":[63],"general":[64],"result":[65],"domino":[67],"tilings":[68,76],"reduced":[70],"Aztec":[71],"diamonds":[72],"lozenge":[75],"hexagons":[78],"holes.":[80],"Our":[81],"results":[82],"striking":[85],"analogy":[86],"Its-Izergin-Korepin-Slavnov":[89],"method":[90],"for":[91],"integrable":[92],"kernels.":[93]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-01T00:00:00"}
