{"id":"https://openalex.org/W2170895432","doi":"https://doi.org/10.1109/icassp.2000.861930","title":"Multifractal analysis and \u03b1-stable processes: a methodological contribution","display_name":"Multifractal analysis and \u03b1-stable processes: a methodological contribution","publication_year":2002,"publication_date":"2002-11-07","ids":{"openalex":"https://openalex.org/W2170895432","doi":"https://doi.org/10.1109/icassp.2000.861930","mag":"2170895432"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.2000.861930","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2000.861930","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5088402344","display_name":"Pierre Chainais","orcid":"https://orcid.org/0000-0003-4377-7584"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210096929","display_name":"Laboratoire de Physique de l'ENS de Lyon","ror":"https://ror.org/00w5ay796","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I113428412","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210096929","https://openalex.org/I4405259976","https://openalex.org/I4405263940","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P. Chainais","raw_affiliation_strings":["CNRS, UMR 5672-Laboratoire de Physique, Ecole Normale Sup\u00e9rieure de Lyon, Lyon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, UMR 5672-Laboratoire de Physique, Ecole Normale Sup\u00e9rieure de Lyon, Lyon, France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I4210096929"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050643672","display_name":"Patrice Abry","orcid":"https://orcid.org/0000-0002-7096-8290"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210096929","display_name":"Laboratoire de Physique de l'ENS de Lyon","ror":"https://ror.org/00w5ay796","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I112936343","https://openalex.org/I113428412","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210096929","https://openalex.org/I4405259976","https://openalex.org/I4405263940","https://openalex.org/I48430043"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P. Abry","raw_affiliation_strings":["CNRS, UMR 5672-Laboratoire de Physique, Ecole Normale Sup\u00e9rieure de Lyon, Lyon, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CNRS, UMR 5672-Laboratoire de Physique, Ecole Normale Sup\u00e9rieure de Lyon, Lyon, France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I4210096929"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010299607","display_name":"Darryl Veitch","orcid":"https://orcid.org/0000-0001-8163-3464"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"D. Veitch","raw_affiliation_strings":["Software Engineering Research Centre, Melbourne, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Software Engineering Research Centre, Melbourne, VIC, Australia","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.0688,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.96904025,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"1","issue":null,"first_page":"241","last_page":"244"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"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/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.9889000058174133,"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/T10244","display_name":"Chaos control and synchronization","score":0.9699000120162964,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multifractal-system","display_name":"Multifractal system","score":0.8942790031433105},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6052329540252686},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5765440464019775},{"id":"https://openalex.org/keywords/fractional-brownian-motion","display_name":"Fractional Brownian motion","score":0.5677669048309326},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5301120281219482},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4385968744754791},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4335528314113617},{"id":"https://openalex.org/keywords/wavelet-transform","display_name":"Wavelet transform","score":0.43065282702445984},{"id":"https://openalex.org/keywords/partition-function","display_name":"Partition function (quantum field theory)","score":0.42580971121788025},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.37849679589271545},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33581358194351196},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3293428421020508},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3189626932144165},{"id":"https://openalex.org/keywords/fractal","display_name":"Fractal","score":0.2813294529914856},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2784882187843323},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.26603221893310547},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18169072270393372},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12757766246795654},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10421901941299438}],"concepts":[{"id":"https://openalex.org/C133905733","wikidata":"https://www.wikidata.org/wiki/Q2629238","display_name":"Multifractal system","level":3,"score":0.8942790031433105},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6052329540252686},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5765440464019775},{"id":"https://openalex.org/C108819105","wikidata":"https://www.wikidata.org/wiki/Q1143293","display_name":"Fractional Brownian motion","level":3,"score":0.5677669048309326},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5301120281219482},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4385968744754791},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4335528314113617},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.43065282702445984},{"id":"https://openalex.org/C2778401447","wikidata":"https://www.wikidata.org/wiki/Q7140637","display_name":"Partition function (quantum field theory)","level":2,"score":0.42580971121788025},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.37849679589271545},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33581358194351196},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3293428421020508},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3189626932144165},{"id":"https://openalex.org/C40636538","wikidata":"https://www.wikidata.org/wiki/Q81392","display_name":"Fractal","level":2,"score":0.2813294529914856},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2784882187843323},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.26603221893310547},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18169072270393372},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12757766246795654},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10421901941299438},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.2000.861930","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.2000.861930","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1499963479","https://openalex.org/W1984384167","https://openalex.org/W1999143616","https://openalex.org/W2022894179","https://openalex.org/W2032456190","https://openalex.org/W2042129823","https://openalex.org/W2089062302","https://openalex.org/W2138404617","https://openalex.org/W2229849220","https://openalex.org/W2751862591","https://openalex.org/W2988022279","https://openalex.org/W3140802387","https://openalex.org/W4230184436","https://openalex.org/W4246756383","https://openalex.org/W4255272544","https://openalex.org/W6680634204"],"related_works":["https://openalex.org/W1639315488","https://openalex.org/W4382488079","https://openalex.org/W2042397562","https://openalex.org/W2356714366","https://openalex.org/W2056486084","https://openalex.org/W1984155887","https://openalex.org/W2960646972","https://openalex.org/W1985063657","https://openalex.org/W2158972953","https://openalex.org/W3121227606"],"abstract_inverted_index":{"This":[0],"work":[1],"is":[2,27,111],"a":[3,32,40,67,76,95,109],"contribution":[4],"to":[5,19,29,134],"the":[6,9,21,60,80,85,89,99,103,115,119,128],"analysis":[7,64,97],"of":[8,71,79,84,91,98,102,118,122],"procedure,":[10],"based":[11],"on":[12],"wavelet":[13,120],"coefficient":[14],"partition":[15,100],"functions,":[16],"commonly":[17],"used":[18],"estimate":[20],"Legendre":[22],"multifractal":[23,37,73],"spectrum.":[24],"The":[25],"procedure":[26,130],"applied":[28],"two":[30],"examples,":[31],"fractional":[33],"Brownian":[34],"motion":[35],"in":[36,66],"time":[38],"and":[39,75],"self-similar":[41,104],"/spl":[42,81,105],"alpha/-stable":[43,82,106],"process,":[44],"whose":[45],"sample":[46],"paths":[47],"exhibit":[48],"irregularities":[49],"that":[50],"by":[51,114],"eye":[52],"appear":[53],"very":[54],"close.":[55],"We":[56,87,125],"observe":[57],"that,":[58],"for":[59],"second":[61],"example,":[62],"this":[63,92],"results":[65],"qualitatively":[68],"inaccurate":[69],"estimation":[70,129],"its":[72],"spectrum,":[74],"related":[77],"masking":[78],"nature":[83],"process.":[86,107],"explain":[88],"origin":[90],"error":[93],"through":[94],"detailed":[96],"functions":[101],"Such":[108],"study":[110],"made":[112],"possible":[113],"specific":[116],"properties":[117],"coefficients":[121],"such":[123,136],"processes.":[124],"indicate":[126],"how":[127],"might":[131],"be":[132],"modified":[133],"avoid":[135],"errors.":[137]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}