{"id":"https://openalex.org/W4388917364","doi":"https://doi.org/10.1214/23-ecp565","title":"On the capacity for degenerated G-Brownian motion and its application","display_name":"On the capacity for degenerated G-Brownian motion and its application","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4388917364","doi":"https://doi.org/10.1214/23-ecp565"},"language":"en","primary_location":{"id":"doi:10.1214/23-ecp565","doi":"https://doi.org/10.1214/23-ecp565","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1214/23-ecp565","pdf_url":"https://projecteuclid.org/journals/electronic-communications-in-probability/volume-28/issue-none/On-the-capacity-for-degenerated-G-Brownian-motion-and-its/10.1214/23-ECP565.pdf","source":{"id":"https://openalex.org/S87494164","display_name":"Electronic Communications in Probability","issn_l":"1083-589X","issn":["1083-589X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-d","jufo-1","norway-1","poland-100","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Communications in Probability","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://projecteuclid.org/journals/electronic-communications-in-probability/volume-28/issue-none/On-the-capacity-for-degenerated-G-Brownian-motion-and-its/10.1214/23-ECP565.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100687396","display_name":"Xiaojuan Li","orcid":"https://orcid.org/0000-0002-1305-0846","observed_orcids":["https://orcid.org/0000-0002-1305-0846"]},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]},{"id":"https://openalex.org/I4210097715","display_name":"Qilu Normal University","ror":"https://ror.org/00wztsq19","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210097715"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaojuan Li","raw_affiliation_strings":["Department of Mathematics, Qilu Normal University, China","Research Center for Mathematics and Interdisciplinary Sciences, Shandong University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Qilu Normal University, China","institution_ids":["https://openalex.org/I4210097715"]},{"raw_affiliation_string":"Research Center for Mathematics and Interdisciplinary Sciences, Shandong University, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101935384","display_name":"Xinpeng Li","orcid":"https://orcid.org/0000-0003-0350-0695","observed_orcids":["https://orcid.org/0000-0003-0350-0695"]},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]},{"id":"https://openalex.org/I4210097715","display_name":"Qilu Normal University","ror":"https://ror.org/00wztsq19","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210097715"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinpeng Li","raw_affiliation_strings":["Department of Mathematics, Qilu Normal University, China","Research Center for Mathematics and Interdisciplinary Sciences, Shandong University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Qilu Normal University, China","institution_ids":["https://openalex.org/I4210097715"]},{"raw_affiliation_string":"Research Center for Mathematics and Interdisciplinary Sciences, Shandong University, China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":675,"currency":"USD","value_usd":675},"apc_paid":{"value":675,"currency":"USD","value_usd":675},"fwci":0.1882,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56592547,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"28","issue":"none","first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.006099999882280827,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.003000000026077032,"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/capacity","display_name":"capacity","score":0.625},{"id":"https://openalex.org/keywords/viscosity-solutions","display_name":"viscosity solutions","score":0.8870000243186951},{"id":"https://openalex.org/keywords/quasicontinuity","display_name":"quasi-continuous functions","score":0.7860000133514404},{"id":"https://openalex.org/keywords/g-brownian-motion","display_name":"G-Brownian motion","score":0.6340000033378601},{"id":"https://openalex.org/keywords/borel-sets","display_name":"Borel sets","score":0.6110000014305115}],"concepts":[{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.8567097783088684},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7908117771148682},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.5440757274627686},{"id":"https://openalex.org/C101615488","wikidata":"https://www.wikidata.org/wiki/Q1503307","display_name":"Geometric Brownian motion","level":4,"score":0.5414971709251404},{"id":"https://openalex.org/C53920899","wikidata":"https://www.wikidata.org/wiki/Q4976524","display_name":"Brownian excursion","level":5,"score":0.509961724281311},{"id":"https://openalex.org/C116779161","wikidata":"https://www.wikidata.org/wiki/Q7307228","display_name":"Reflected Brownian motion","level":5,"score":0.4800720810890198},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.4789598286151886},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4516904652118683},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4411194920539856},{"id":"https://openalex.org/C108819105","wikidata":"https://www.wikidata.org/wiki/Q1143293","display_name":"Fractional Brownian motion","level":3,"score":0.43667060136795044},{"id":"https://openalex.org/C127172972","wikidata":"https://www.wikidata.org/wiki/Q128709","display_name":"Viscosity","level":2,"score":0.4200391471385956},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.22768861055374146},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10179898142814636},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.101371169090271},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.08991914987564087},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.048885613679885864},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1214/23-ecp565","doi":"https://doi.org/10.1214/23-ecp565","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1214/23-ecp565","pdf_url":"https://projecteuclid.org/journals/electronic-communications-in-probability/volume-28/issue-none/On-the-capacity-for-degenerated-G-Brownian-motion-and-its/10.1214/23-ECP565.pdf","source":{"id":"https://openalex.org/S87494164","display_name":"Electronic Communications in Probability","issn_l":"1083-589X","issn":["1083-589X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-d","jufo-1","norway-1","poland-100","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Communications in Probability","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2109.07860","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2109.07860","pdf_url":"https://arxiv.org/pdf/2109.07860","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.2109.07860","doi":"https://doi.org/10.48550/arxiv.2109.07860","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2109.07860","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":"doi:10.1214/23-ecp565","doi":"https://doi.org/10.1214/23-ecp565","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1214/23-ecp565","pdf_url":"https://projecteuclid.org/journals/electronic-communications-in-probability/volume-28/issue-none/On-the-capacity-for-degenerated-G-Brownian-motion-and-its/10.1214/23-ECP565.pdf","source":{"id":"https://openalex.org/S87494164","display_name":"Electronic Communications in Probability","issn_l":"1083-589X","issn":["1083-589X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-d","jufo-1","norway-1","poland-100","russia-white-list-3"],"host_organization":"https://openalex.org/P4310319881","host_organization_name":"Institute of Mathematical Statistics","host_organization_lineage":["https://openalex.org/P4310319881"],"host_organization_lineage_names":["Institute of Mathematical Statistics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Communications in Probability","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4388182414","display_name":null,"funder_award_id":"11601281","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4791492856","display_name":null,"funder_award_id":"11671231","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5292492323","display_name":null,"funder_award_id":"2018Y-FA0703900","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5974650890","display_name":"Interactions between Representation Theory, Quantum Field Theory, Category Theory, and Quantum Information Theory; June 2007, Tyler, TX","funder_award_id":"0703900","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6947543077","display_name":null,"funder_award_id":"11671231","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388917364.pdf","grobid_xml":"https://content.openalex.org/works/W4388917364.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1580561995","https://openalex.org/W1992382156","https://openalex.org/W2032316144","https://openalex.org/W2062114931","https://openalex.org/W2097216668","https://openalex.org/W2106429103","https://openalex.org/W2160533459","https://openalex.org/W2291247895","https://openalex.org/W2411501272","https://openalex.org/W2800342712","https://openalex.org/W2964235294","https://openalex.org/W3163739917","https://openalex.org/W3175990775","https://openalex.org/W4393180350"],"related_works":["https://openalex.org/W3201242895","https://openalex.org/W2855253609","https://openalex.org/W2134385115","https://openalex.org/W3007042431","https://openalex.org/W2334329575","https://openalex.org/W7096597262","https://openalex.org/W1977599535","https://openalex.org/W2189292158","https://openalex.org/W2887905025","https://openalex.org/W2972682744"],"abstract_inverted_index":{"In":[0,25],"this":[1],"paper,":[2],"the":[3,19,28,48],"capacity":[4],"c({BT\u2208A})":[5],"of":[6,22],"degenerated":[7,49],"G-Brownian":[8,34],"motion":[9,31,35],"BT":[10],"for":[11,44],"arbitrary":[12],"Borel":[13],"set":[14],"A":[15],"is":[16],"calculated":[17],"via":[18],"viscosity":[20],"solution":[21],"G-heat":[23],"equation.":[24],"particular,":[26],"unlike":[27],"classical":[29],"Brownian":[30],"and":[32],"non-degenerated":[33],"which":[36],"do":[37],"not":[38],"weight":[39],"points,":[40],"we":[41,51,57],"obtain":[42],"c({BT=a})>0":[43],"each":[45],"a\u2208R":[46],"in":[47],"case":[50],"study":[52],"here.":[53],"As":[54],"an":[55],"application,":[56],"show":[58],"that":[59],"IA(BT)":[60],"has":[61],"no":[62],"quasi-continuous":[63],"version":[64],"unless":[65],"A=\u2205":[66],"or":[67],"R.":[68]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2023-11-23T00:00:00"}
