{"id":"https://openalex.org/W4412187923","doi":"https://doi.org/10.1017/s0963548325000082","title":"Couplings and Poisson approximation for stabilising functionals of determinantal point processes","display_name":"Couplings and Poisson approximation for stabilising functionals of determinantal point processes","publication_year":2025,"publication_date":"2025-07-11","ids":{"openalex":"https://openalex.org/W4412187923","doi":"https://doi.org/10.1017/s0963548325000082"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548325000082","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548325000082","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0AFCEB710257751925016436C3F407CB/S0963548325000082a.pdf/div-class-title-couplings-and-poisson-approximation-for-stabilising-functionals-of-determinantal-point-processes-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0AFCEB710257751925016436C3F407CB/S0963548325000082a.pdf/div-class-title-couplings-and-poisson-approximation-for-stabilising-functionals-of-determinantal-point-processes-div.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059007316","display_name":"Moritz Otto","orcid":"https://orcid.org/0009-0006-6146-3975"},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"Moritz Otto","raw_affiliation_strings":["Aarhus University"],"raw_orcid":"https://orcid.org/0009-0006-6146-3975","affiliations":[{"raw_affiliation_string":"Aarhus University","institution_ids":["https://openalex.org/I204337017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059007316"],"corresponding_institution_ids":["https://openalex.org/I204337017"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15258345,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":"5","first_page":"635","last_page":"648"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9986000061035156,"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":0.9986000061035156,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9977999925613403,"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"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9376000165939331,"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/poisson-distribution","display_name":"Poisson distribution","score":0.7595824003219604},{"id":"https://openalex.org/keywords/determinantal-point-process","display_name":"Determinantal point process","score":0.7344708442687988},{"id":"https://openalex.org/keywords/point-process","display_name":"Point process","score":0.7124164700508118},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5734694004058838},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5347071886062622},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4004402160644531},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38664019107818604},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24768182635307312},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1357192099094391},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13377508521080017},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.129555344581604},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.06850588321685791},{"id":"https://openalex.org/keywords/random-matrix","display_name":"Random matrix","score":0.06259888410568237}],"concepts":[{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.7595824003219604},{"id":"https://openalex.org/C72010251","wikidata":"https://www.wikidata.org/wiki/Q5265688","display_name":"Determinantal point process","level":4,"score":0.7344708442687988},{"id":"https://openalex.org/C88871306","wikidata":"https://www.wikidata.org/wiki/Q7208287","display_name":"Point process","level":2,"score":0.7124164700508118},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5734694004058838},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5347071886062622},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4004402160644531},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38664019107818604},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24768182635307312},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1357192099094391},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13377508521080017},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.129555344581604},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.06850588321685791},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.06259888410568237}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0963548325000082","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548325000082","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0AFCEB710257751925016436C3F407CB/S0963548325000082a.pdf/div-class-title-couplings-and-poisson-approximation-for-stabilising-functionals-of-determinantal-point-processes-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/c69dbe11-b880-4257-8ab5-448bb0b4edf1","is_oa":true,"landing_page_url":"https://pure.au.dk/portal/en/publications/c69dbe11-b880-4257-8ab5-448bb0b4edf1","pdf_url":"https://pure.au.dk/ws/files/469353242/Couplings_and_Poisson_approximation_for_stabilising_functionals_of_determinantal_point_processes.pdf","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Otto, M 2025, 'Couplings and Poisson approximation for stabilising functionals of determinantal point processes', Combinatorics Probability and Computing, vol. 34, no. 5. https://doi.org/10.1017/S0963548325000082","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1017/s0963548325000082","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548325000082","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0AFCEB710257751925016436C3F407CB/S0963548325000082a.pdf/div-class-title-couplings-and-poisson-approximation-for-stabilising-functionals-of-determinantal-point-processes-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412187923.pdf","grobid_xml":"https://content.openalex.org/works/W4412187923.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W577565880","https://openalex.org/W1633817406","https://openalex.org/W1958800402","https://openalex.org/W1974254497","https://openalex.org/W1980192929","https://openalex.org/W2002015141","https://openalex.org/W2006672084","https://openalex.org/W2037685751","https://openalex.org/W2076773434","https://openalex.org/W2092812368","https://openalex.org/W2133549435","https://openalex.org/W2157657874","https://openalex.org/W2500839801","https://openalex.org/W2605906613","https://openalex.org/W2782820543","https://openalex.org/W2908710967","https://openalex.org/W2956497157","https://openalex.org/W3028476869","https://openalex.org/W3097990213","https://openalex.org/W3099842288","https://openalex.org/W3148947373","https://openalex.org/W3158650866","https://openalex.org/W3174031767","https://openalex.org/W3177420882","https://openalex.org/W3209821315","https://openalex.org/W4283831484","https://openalex.org/W4292027056","https://openalex.org/W4366596656","https://openalex.org/W6640652577","https://openalex.org/W6796995127"],"related_works":["https://openalex.org/W4394664801","https://openalex.org/W4288327276","https://openalex.org/W2951327448","https://openalex.org/W3112662864","https://openalex.org/W4381191274","https://openalex.org/W2073583227","https://openalex.org/W2177179288","https://openalex.org/W2962714517","https://openalex.org/W3044388970","https://openalex.org/W3169444776"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"prove":[2],"a":[3,12,57,64,68,73],"Poisson":[4,69],"process":[5,39,53],"approximation":[6],"result":[7],"for":[8,98],"stabilising":[9],"functionals":[10],"of":[11,21,46,54,79],"determinantal":[13,22],"point":[14,70],"process.":[15,71],"Our":[16],"results":[17],"use":[18],"concrete":[19],"couplings":[20],"processes":[23],"with":[24,56],"different":[25,94],"Palm":[26],"measures":[27],"and":[28,40],"exploit":[29],"their":[30],"association":[31],"properties.":[32],"Second,":[33],"we":[34,75],"focus":[35],"on":[36],"the":[37,43,52,77,80,86],"Ginibre":[38,87],"show":[41],"in":[42,85],"asymptotic":[44],"scenario":[45],"an":[47],"increasing":[48],"observation":[49],"window":[50],"that":[51],"points":[55],"large":[58],"nearest":[59,82],"neighbour":[60,83],"distance":[61,84],"converges":[62],"after":[63],"suitable":[65],"scaling":[66,78],"to":[67,92],"As":[72],"corollary,":[74],"obtain":[76],"maximum":[81],"process,":[88],"which":[89],"turns":[90],"out":[91],"be":[93],"from":[95],"its":[96],"analogue":[97],"independent":[99],"points.":[100]},"counts_by_year":[],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}