{"id":"https://openalex.org/W4404342126","doi":"https://doi.org/10.1007/s00224-026-10282-x","title":"Effective Weak Convergence and Tightness of Measures in Computable Polish Spaces","display_name":"Effective Weak Convergence and Tightness of Measures in Computable Polish Spaces","publication_year":2026,"publication_date":"2026-05-28","ids":{"openalex":"https://openalex.org/W4404342126","doi":"https://doi.org/10.1007/s00224-026-10282-x"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-026-10282-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00224-026-10282-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00224-026-10282-x.pdf","source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00224-026-10282-x.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101145422","display_name":"Diego Rojas","orcid":null},"institutions":[{"id":"https://openalex.org/I182980787","display_name":"University of Dallas","ror":"https://ror.org/00v3ak792","country_code":"US","type":"education","lineage":["https://openalex.org/I182980787"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Diego A. Rojas","raw_affiliation_strings":["Department of Mathematics, University of Dallas, Irving, TX, 75062, USA"],"raw_orcid":"https://orcid.org/0000-0001-9878-6264","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Dallas, Irving, TX, 75062, USA","institution_ids":["https://openalex.org/I182980787"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101145422"],"corresponding_institution_ids":["https://openalex.org/I182980787"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06299801,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"70","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12062","display_name":"Approximation Theory and Sequence Spaces","score":0.9573000073432922,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6969802379608154},{"id":"https://openalex.org/keywords/weak-convergence","display_name":"Weak convergence","score":0.42853277921676636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41447409987449646},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.35944056510925293},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.3568451404571533},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3209119439125061},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23890984058380127},{"id":"https://openalex.org/keywords/macroeconomics","display_name":"Macroeconomics","score":0.15323680639266968}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6969802379608154},{"id":"https://openalex.org/C57945734","wikidata":"https://www.wikidata.org/wiki/Q7977941","display_name":"Weak convergence","level":3,"score":0.42853277921676636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41447409987449646},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.35944056510925293},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.3568451404571533},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3209119439125061},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23890984058380127},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.15323680639266968},{"id":"https://openalex.org/C76178495","wikidata":"https://www.wikidata.org/wiki/Q4808784","display_name":"Asset (computer security)","level":2,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00224-026-10282-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00224-026-10282-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00224-026-10282-x.pdf","source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2410.21609","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.21609","pdf_url":"https://arxiv.org/pdf/2410.21609","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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.2410.21609","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2410.21609","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"}],"best_oa_location":{"id":"doi:10.1007/s00224-026-10282-x","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00224-026-10282-x","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00224-026-10282-x.pdf","source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404342126.pdf","grobid_xml":"https://content.openalex.org/works/W4404342126.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1502198272","https://openalex.org/W2017540542","https://openalex.org/W1517908938","https://openalex.org/W2006758266","https://openalex.org/W2066504725","https://openalex.org/W1527813328","https://openalex.org/W2073254488","https://openalex.org/W2104764082","https://openalex.org/W3027194385"],"abstract_inverted_index":{"Abstract":[0],"Prokhorov\u2019s":[1,113],"Theorem":[2,114],"in":[3,31],"probability":[4,17,119],"theory":[5],"states":[6],"that":[7],"a":[8,20,39],"family":[9],"$$\\Gamma":[10,32],"$$":[11,33],"<mml:math":[12,34],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[13,35],"<mml:mi>\u0393</mml:mi>":[14,36],"</mml:math>":[15,37],"of":[16,49,57,72,75,96,100,112,118],"measures":[18,76,101],"on":[19,77,102],"Polish":[21,88,104],"space":[22],"is":[23],"tight":[24],"if":[25,28],"and":[26,84],"only":[27],"every":[29],"sequence":[30],"has":[38,60],"weakly":[40],"convergent":[41],"subsequence.":[42],"Due":[43],"to":[44,82,86],"the":[45,54,69,78],"highly":[46],"non-constructive":[47],"nature":[48],"(relative)":[50],"sequential":[51],"compactness,":[52],"however,":[53],"effective":[55,70,94,110],"content":[56],"this":[58,65],"theorem":[59],"not":[61],"been":[62],"studied.":[63],"To":[64],"end,":[66],"we":[67,91,107],"generalize":[68],"notions":[71],"weak":[73],"convergence":[74],"real":[79],"line":[80],"due":[81],"McNicholl":[83],"Rojas":[85],"computable":[87,103,116],"spaces.":[89,105],"Then,":[90],"introduce":[92],"an":[93,109],"notion":[95],"tightness":[97],"for":[98,115],"families":[99],"Finally,":[106],"prove":[108],"version":[111],"sequences":[117],"measures.":[120]},"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
