{"id":"https://openalex.org/W80765934","doi":"https://doi.org/10.1007/bfb0084161","title":"The density function's asymptotic representation in the case of multidimensional strictly stable distributions","display_name":"The density function's asymptotic representation in the case of multidimensional strictly stable distributions","publication_year":1989,"publication_date":"1989-01-01","ids":{"openalex":"https://openalex.org/W80765934","doi":"https://doi.org/10.1007/bfb0084161","mag":"80765934"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0084161","doi":"https://doi.org/10.1007/bfb0084161","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0084161","pdf_url":null,"source":{"id":"https://openalex.org/S118039931","display_name":"Lecture notes in mathematics","issn_l":"0075-8434","issn":["0075-8434","1617-9692"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Mathematics","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W4254849889","display_name":"Stability Problems for Stochastic Models"},"type":"book-chapter","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5136370575","display_name":"Sergey Viktorovich Arkhipov","orcid":"https://orcid.org/0009-0007-3531-4367","observed_orcids":["https://orcid.org/0009-0007-3531-4367"]},"institutions":[{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I4405285364","display_name":"Academy of Sciences of the Soviet Union","ror":"https://ror.org/059mhqh10","country_code":"RU","type":"government","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4405285364"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"S. V. Arkhipov","raw_affiliation_strings":["Steklov Mathematical Institute, Academy of Sciences of the USSR, Vavilov st. 42, 117333, Moscow, USSR","Steklov Mathematical Institute, Academy of Sciences of the USSR, Moscow, USSR#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Steklov Mathematical Institute, Academy of Sciences of the USSR, Vavilov st. 42, 117333, Moscow, USSR","institution_ids":["https://openalex.org/I2801160905","https://openalex.org/I4405285364"]},{"raw_affiliation_string":"Steklov Mathematical Institute, Academy of Sciences of the USSR, Moscow, USSR#TAB#","institution_ids":["https://openalex.org/I2801160905","https://openalex.org/I4405285364"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5136370575"],"corresponding_institution_ids":["https://openalex.org/I2801160905","https://openalex.org/I4405285364"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"21"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13500","display_name":"Probability and Statistical Research","score":0.6869999766349792,"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/T13500","display_name":"Probability and Statistical Research","score":0.6869999766349792,"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/T11720","display_name":"Probability and Risk Models","score":0.07819999754428864,"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"}},{"id":"https://openalex.org/T10968","display_name":"Statistical Distribution Estimation and Applications","score":0.046799998730421066,"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/density-function","display_name":"density function","score":0.843999981880188},{"id":"https://openalex.org/keywords/asymptotic-representation","display_name":"asymptotic representation","score":0.9589999914169312},{"id":"https://openalex.org/keywords/tail-behavior","display_name":"tail behavior","score":0.3919999897480011},{"id":"https://openalex.org/keywords/levy-distribution","display_name":"L\u00e9vy distribution","score":0.5180000066757202}],"concepts":[{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6946039795875549},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5003719329833984},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49852466583251953},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4315970540046692},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38271039724349976},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3263104557991028},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16264116764068604},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.07982978224754333},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.04449734091758728},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.03910118341445923},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bfb0084161","doi":"https://doi.org/10.1007/bfb0084161","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0084161","pdf_url":null,"source":{"id":"https://openalex.org/S118039931","display_name":"Lecture notes in mathematics","issn_l":"0075-8434","issn":["0075-8434","1617-9692"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Mathematics","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1564609383","https://openalex.org/W2299769372","https://openalex.org/W2591340843","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W1711997258","https://openalex.org/W2110890650","https://openalex.org/W1593316300","https://openalex.org/W3201375169","https://openalex.org/W2333736041","https://openalex.org/W2088371928","https://openalex.org/W194816205","https://openalex.org/W6936158186","https://openalex.org/W11805026","https://openalex.org/W2026573406"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}
