{"id":"https://openalex.org/W2949998569","doi":"https://doi.org/10.1515/mcma-2015-0108","title":"Infinite-dimensional Monte-Carlo integration","display_name":"Infinite-dimensional Monte-Carlo integration","publication_year":2015,"publication_date":"2015-10-24","ids":{"openalex":"https://openalex.org/W2949998569","doi":"https://doi.org/10.1515/mcma-2015-0108","mag":"2949998569"},"language":"en","primary_location":{"id":"doi:10.1515/mcma-2015-0108","is_oa":false,"landing_page_url":"http://doi.org/10.1515/mcma-2015-0108","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1506.04735","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084305269","display_name":"Gogi Pantsulaia","orcid":"https://orcid.org/0000-0002-6200-5953"},"institutions":[{"id":"https://openalex.org/I102808428","display_name":"Tbilisi State University","ror":"https://ror.org/05fd1hd85","country_code":"GE","type":"education","lineage":["https://openalex.org/I102808428"]},{"id":"https://openalex.org/I131762061","display_name":"Georgian Technical University","ror":"https://ror.org/00aamz256","country_code":"GE","type":"education","lineage":["https://openalex.org/I131762061"]}],"countries":["GE"],"is_corresponding":true,"raw_author_name":"Gogi R. Pantsulaia","raw_affiliation_strings":["Department of Mathematics, Georgian Technical University, 0175 Tbilisi, Georgia; and I. Vekua Institute of Applied Mathematics, Tbilisi State University, 0143 Tbilisi, Georgia","Department of Mathematics, Georgian Technical University, 0175 Tbilisi, Georgia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Georgian Technical University, 0175 Tbilisi, Georgia; and I. Vekua Institute of Applied Mathematics, Tbilisi State University, 0143 Tbilisi, Georgia","institution_ids":["https://openalex.org/I131762061","https://openalex.org/I102808428"]},{"raw_affiliation_string":"Department of Mathematics, Georgian Technical University, 0175 Tbilisi, Georgia","institution_ids":["https://openalex.org/I131762061"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5084305269"],"corresponding_institution_ids":["https://openalex.org/I102808428","https://openalex.org/I131762061"],"apc_list":null,"apc_paid":null,"fwci":1.2346,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.84609478,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"21","issue":"4","first_page":"283","last_page":"299"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11195","display_name":"Simulation Techniques and Applications","score":0.19040000438690186,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11195","display_name":"Simulation Techniques and Applications","score":0.19040000438690186,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.7246348857879639},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6376157999038696},{"id":"https://openalex.org/keywords/monte-carlo-integration","display_name":"Monte Carlo integration","score":0.5364443063735962},{"id":"https://openalex.org/keywords/monte-carlo-method-in-statistical-physics","display_name":"Monte Carlo method in statistical physics","score":0.5358504056930542},{"id":"https://openalex.org/keywords/quasi-monte-carlo-method","display_name":"Quasi-Monte Carlo method","score":0.48115384578704834},{"id":"https://openalex.org/keywords/monte-carlo-molecular-modeling","display_name":"Monte Carlo molecular modeling","score":0.45286035537719727},{"id":"https://openalex.org/keywords/hybrid-monte-carlo","display_name":"Hybrid Monte Carlo","score":0.44318220019340515},{"id":"https://openalex.org/keywords/dynamic-monte-carlo-method","display_name":"Dynamic Monte Carlo method","score":0.4297909140586853},{"id":"https://openalex.org/keywords/kinetic-monte-carlo","display_name":"Kinetic Monte Carlo","score":0.4247605502605438},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33558323979377747},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3300149440765381},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27067992091178894},{"id":"https://openalex.org/keywords/markov-chain-monte-carlo","display_name":"Markov chain Monte Carlo","score":0.24170920252799988},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17974883317947388}],"concepts":[{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.7246348857879639},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6376157999038696},{"id":"https://openalex.org/C132725507","wikidata":"https://www.wikidata.org/wiki/Q39879","display_name":"Monte Carlo integration","level":5,"score":0.5364443063735962},{"id":"https://openalex.org/C204493344","wikidata":"https://www.wikidata.org/wiki/Q6904698","display_name":"Monte Carlo method in statistical physics","level":5,"score":0.5358504056930542},{"id":"https://openalex.org/C63320529","wikidata":"https://www.wikidata.org/wiki/Q7269435","display_name":"Quasi-Monte Carlo method","level":5,"score":0.48115384578704834},{"id":"https://openalex.org/C37669827","wikidata":"https://www.wikidata.org/wiki/Q6904703","display_name":"Monte Carlo molecular modeling","level":4,"score":0.45286035537719727},{"id":"https://openalex.org/C13153151","wikidata":"https://www.wikidata.org/wiki/Q1639846","display_name":"Hybrid Monte Carlo","level":4,"score":0.44318220019340515},{"id":"https://openalex.org/C122592724","wikidata":"https://www.wikidata.org/wiki/Q3855635","display_name":"Dynamic Monte Carlo method","level":3,"score":0.4297909140586853},{"id":"https://openalex.org/C45786274","wikidata":"https://www.wikidata.org/wiki/Q3333611","display_name":"Kinetic Monte Carlo","level":3,"score":0.4247605502605438},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33558323979377747},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3300149440765381},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27067992091178894},{"id":"https://openalex.org/C111350023","wikidata":"https://www.wikidata.org/wiki/Q1191869","display_name":"Markov chain Monte Carlo","level":3,"score":0.24170920252799988},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17974883317947388}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1515/mcma-2015-0108","is_oa":false,"landing_page_url":"http://doi.org/10.1515/mcma-2015-0108","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1506.04735","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1506.04735","pdf_url":"https://arxiv.org/pdf/1506.04735","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:RePEc:bpj:mcmeap:v:21:y:2015:i:4:p:283-299:n:3","is_oa":false,"landing_page_url":"https://doi.org/10.1515/mcma-2015-0108","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1506.04735","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1506.04735","pdf_url":"https://arxiv.org/pdf/1506.04735","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.6600000262260437,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G5453735103","display_name":null,"funder_award_id":"FR/116/5-100/14","funder_id":"https://openalex.org/F4320322898","funder_display_name":"Shota Rustaveli National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322898","display_name":"Shota Rustaveli National Science Foundation","ror":"https://ror.org/00xc87681"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2329261603","https://openalex.org/W2922163714","https://openalex.org/W2985240440"],"related_works":["https://openalex.org/W4294677683","https://openalex.org/W4367155567","https://openalex.org/W2019600130","https://openalex.org/W590971457","https://openalex.org/W3107111207","https://openalex.org/W2364466961","https://openalex.org/W1548972748","https://openalex.org/W2374592211","https://openalex.org/W2151084831","https://openalex.org/W2347943802"],"abstract_inverted_index":{"Abstract":[0],"By":[1],"using":[2,57],"main":[3],"properties":[4,58],"of":[5,9,42,59,70,74],"uniformly":[6,60],"distributed":[7,61],"sequences":[8,62],"increasing":[10],"finite":[11],"sets":[12],"in":[13,16,20,51,63],"infinite-dimensional":[14,34,44],"rectangles":[15],"\u211d":[17],"\u221e":[18],"described":[19],"[Real":[21],"Anal.":[22],"Exchange":[23],"36":[24],"(2010/2011),":[25],"no.":[26],"2,":[27],"325\u2013340],":[28],"a":[29,67],"new":[30,68],"approach":[31],"for":[32],"an":[33],"Monte-Carlo":[35],"integration":[36],"is":[37,77],"introduced":[38],"and":[39],"the":[40,64],"validity":[41],"some":[43],"strong":[45,72],"law":[46,73],"type":[47],"theorems":[48],"are":[49],"obtained":[50,78],"this":[52],"paper.":[53],"In":[54],"addition,":[55],"by":[56],"unit":[65],"interval,":[66],"proof":[69],"Kolmogorov's":[71],"large":[75],"numbers":[76],"which":[79],"essentially":[80],"differs":[81],"from":[82],"its":[83],"original":[84],"proof.":[85]},"counts_by_year":[{"year":2016,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}