{"id":"https://openalex.org/W7223928906","doi":"https://doi.org/10.48550/arxiv.2610.34530","title":"Stationary Measures and Boundary Correlations for Multispecies Half-Line ASEP","display_name":"Stationary Measures and Boundary Correlations for Multispecies Half-Line ASEP","publication_year":2026,"publication_date":"2026-10-25","ids":{"openalex":"https://openalex.org/W7223928906","doi":"https://doi.org/10.48550/arxiv.2610.34530"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.34530","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.34530","pdf_url":"https://arxiv.org/pdf/2610.34530","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/2610.34530","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5124417469","display_name":"Alexey Bufetov","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bufetov, Alexey","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5159916625","display_name":"Yuan Tian","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tian, Yuan","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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9976000189781189,"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"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9976000189781189,"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"}},{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.00019999999494757503,"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":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/asymmetric-simple-exclusion-process","display_name":"asymmetric simple exclusion process","score":0.9380000233650208},{"id":"https://openalex.org/keywords/stationary-measures","display_name":"stationary measures","score":0.8479999899864197},{"id":"https://openalex.org/keywords/rays","display_name":"rays","score":0.6809999942779541},{"id":"https://openalex.org/keywords/vertex-model","display_name":"vertex model","score":0.7429999709129333},{"id":"https://openalex.org/keywords/interacting-particle-systems","display_name":"interacting particle systems","score":0.5699999928474426}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6139000058174133},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5429999828338623},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.48559999465942383},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4629000127315521},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.42320001125335693},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.40299999713897705},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.37929999828338623},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.3635999858379364},{"id":"https://openalex.org/C98951983","wikidata":"https://www.wikidata.org/wiki/Q7604341","display_name":"Stationary distribution","level":3,"score":0.3476000130176544},{"id":"https://openalex.org/C47458137","wikidata":"https://www.wikidata.org/wiki/Q911951","display_name":"Stationary state","level":2,"score":0.3386000096797943},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3336000144481659},{"id":"https://openalex.org/C18653775","wikidata":"https://www.wikidata.org/wiki/Q1333358","display_name":"Joint probability distribution","level":2,"score":0.30250000953674316},{"id":"https://openalex.org/C2988492214","wikidata":"https://www.wikidata.org/wiki/Q911951","display_name":"Stationary solution","level":2,"score":0.29409998655319214},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.28119999170303345},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.2784000039100647},{"id":"https://openalex.org/C112675119","wikidata":"https://www.wikidata.org/wiki/Q2992284","display_name":"Periodic boundary conditions","level":3,"score":0.25529998540878296},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2551000118255615}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.34530","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.34530","pdf_url":"https://arxiv.org/pdf/2610.34530","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.2610.34530","doi":"https://doi.org/10.48550/arxiv.2610.34530","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.34530","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.34530","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.34530","pdf_url":"https://arxiv.org/pdf/2610.34530","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":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223928906.pdf","grobid_xml":"https://content.openalex.org/works/W7223928906.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W3009965685","https://openalex.org/W4417004339","https://openalex.org/W7154413728"],"related_works":["https://openalex.org/W2780210133","https://openalex.org/W6929408014","https://openalex.org/W4387724064","https://openalex.org/W4414782610","https://openalex.org/W6960255959","https://openalex.org/W4402733539","https://openalex.org/W2082129896","https://openalex.org/W4407907154","https://openalex.org/W2963911797","https://openalex.org/W4402952801"],"abstract_inverted_index":{"We":[0,57],"construct":[1],"stationary":[2],"measures":[3],"of":[4,14,29,49],"the":[5,9,18,34,38,41,46,53,61,64],"multispecies":[6],"ASEP":[7,36,66],"on":[8],"positive":[10],"half-line,":[11],"with":[12,63],"injection":[13],"highest-priority":[15],"particles":[16],"at":[17,52],"left":[19],"boundary,":[20],"using":[21],"vertex":[22],"models.":[23],"Our":[24],"results":[25],"extend":[26],"existing":[27],"constructions":[28],"Martin":[30],"and":[31],"Aggarwal-Nicoletti-Petrov":[32],"for":[33],"full-line":[35],"to":[37],"half-line.":[39],"For":[40],"two-species":[42],"process,":[43],"we":[44],"compute":[45],"joint":[47],"distribution":[48],"occupation":[50],"colors":[51],"first":[54],"two":[55],"sites.":[56],"also":[58],"partially":[59],"address":[60],"connection":[62],"half-space":[65],"speed":[67],"process.":[68]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-28T00:00:00"}