{"id":"https://openalex.org/W2061563753","doi":"https://doi.org/10.1007/s10998-013-7408-9","title":"Strong limit theorems for anisotropic random walks on \u21242","display_name":"Strong limit theorems for anisotropic random walks on \u21242","publication_year":2013,"publication_date":"2013-03-26","ids":{"openalex":"https://openalex.org/W2061563753","doi":"https://doi.org/10.1007/s10998-013-7408-9","mag":"2061563753"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-013-7408-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-013-7408-9","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"},"type":"article","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/A5022975781","display_name":"Endre Cs\u00e1ki","orcid":"https://orcid.org/0000-0002-9120-6201"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"funder","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Endre Cs\u00e1ki","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, P.O.B. 127, H-1364, Budapest, Hungary","Hungarian Academy of Sciences"],"affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Hungarian Academy of Sciences, P.O.B. 127, H-1364, Budapest, Hungary","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"]},{"raw_affiliation_string":"Hungarian Academy of Sciences","institution_ids":["https://openalex.org/I7597260"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060014152","display_name":"Mikl\u00f3s Cs\u00f6rg\u0151","orcid":null},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mikl\u00f3s Cs\u00f6rg\u0151","raw_affiliation_strings":["School of Mathematics and Statistics, Carleton University, 1125 Colonel By Drive, Ottawa, Ontario, Canada, K1S 5B6","(Carleton University)"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Carleton University, 1125 Colonel By Drive, Ottawa, Ontario, Canada, K1S 5B6","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"(Carleton University)","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015587881","display_name":"Ant\u00f3nia F\u00f6ldes","orcid":"https://orcid.org/0000-0002-6036-2607"},"institutions":[{"id":"https://openalex.org/I142393192","display_name":"College of Staten Island","ror":"https://ror.org/02p179j44","country_code":"US","type":"education","lineage":["https://openalex.org/I142393192"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ant\u00f3nia F\u00f6ldes","raw_affiliation_strings":["Department of Mathematics, College of Staten Island, CUNY, 2800 Victory Blvd., Staten Island, New York, 10314, USA","College of Staten Island-CUNY"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, College of Staten Island, CUNY, 2800 Victory Blvd., Staten Island, New York, 10314, USA","institution_ids":["https://openalex.org/I142393192"]},{"raw_affiliation_string":"College of Staten Island-CUNY","institution_ids":["https://openalex.org/I142393192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054690569","display_name":"P\u00e1l R\u00e9v\u00e9sz","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]},{"id":"https://openalex.org/I1327969474","display_name":"Statistics Austria","ror":"https://ror.org/030j5vf66","country_code":"AT","type":"government","lineage":["https://openalex.org/I1327969474"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"P\u00e1l R\u00e9v\u00e9sz","raw_affiliation_strings":["Institut f\u00fcr Statistik und Wahrscheinlichkeitstheorie, Technische Universit\u00e4t Wien, Wiedner Hauptstrasse 8-10/107, A-1040, Vienna, Austria","Technische Universit\u00e4t, Wien,"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Statistik und Wahrscheinlichkeitstheorie, Technische Universit\u00e4t Wien, Wiedner Hauptstrasse 8-10/107, A-1040, Vienna, Austria","institution_ids":["https://openalex.org/I1327969474","https://openalex.org/I145847075"]},{"raw_affiliation_string":"Technische Universit\u00e4t, Wien,","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5022975781"],"corresponding_institution_ids":["https://openalex.org/I127817813","https://openalex.org/I7597260"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.4599,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.62230724,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"67","issue":"1","first_page":"71","last_page":"94"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9991000294685364,"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":0.9991000294685364,"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/T11720","display_name":"Probability and Risk Models","score":0.9915000200271606,"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/T13234","display_name":"advanced mathematical theories","score":0.9886000156402588,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8908586502075195},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.805546760559082},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.6352155804634094},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.593130886554718},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5451809763908386},{"id":"https://openalex.org/keywords/central-limit-theorem","display_name":"Central limit theorem","score":0.4440328776836395},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.371015340089798},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.36775001883506775},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3296865224838257},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10063990950584412},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07182773947715759},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0691467821598053}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8908586502075195},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.805546760559082},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.6352155804634094},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.593130886554718},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5451809763908386},{"id":"https://openalex.org/C166785042","wikidata":"https://www.wikidata.org/wiki/Q190391","display_name":"Central limit theorem","level":2,"score":0.4440328776836395},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.371015340089798},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36775001883506775},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3296865224838257},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10063990950584412},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07182773947715759},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0691467821598053},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-013-7408-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-013-7408-9","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W111585255","https://openalex.org/W269033978","https://openalex.org/W1489988510","https://openalex.org/W1503434009","https://openalex.org/W1525709379","https://openalex.org/W1529093014","https://openalex.org/W1567301746","https://openalex.org/W1578035584","https://openalex.org/W1617767601","https://openalex.org/W1983976275","https://openalex.org/W1987299262","https://openalex.org/W2008594757","https://openalex.org/W2009523665","https://openalex.org/W2012451562","https://openalex.org/W2025038670","https://openalex.org/W2025996395","https://openalex.org/W2026690703","https://openalex.org/W2033643685","https://openalex.org/W2038245900","https://openalex.org/W2039828603","https://openalex.org/W2049644680","https://openalex.org/W2056913373","https://openalex.org/W2058506279","https://openalex.org/W2063656727","https://openalex.org/W2070363207","https://openalex.org/W2075781728","https://openalex.org/W2079467269","https://openalex.org/W2086891822","https://openalex.org/W2090240571","https://openalex.org/W2099492883","https://openalex.org/W2145187070","https://openalex.org/W2145420589","https://openalex.org/W2160503600","https://openalex.org/W2479606375","https://openalex.org/W2507770748","https://openalex.org/W2799137445","https://openalex.org/W3104149198","https://openalex.org/W3160199043","https://openalex.org/W4212799367","https://openalex.org/W4245557262"],"related_works":["https://openalex.org/W1597743604","https://openalex.org/W2038723108","https://openalex.org/W2033630974","https://openalex.org/W2798819106","https://openalex.org/W2897876927","https://openalex.org/W4245069437","https://openalex.org/W4297449606","https://openalex.org/W2325737604","https://openalex.org/W3092094169","https://openalex.org/W2377661431"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}