{"id":"https://openalex.org/W1993678048","doi":"https://doi.org/10.1214/ejp.v17-2010","title":"Self-regulating processes","display_name":"Self-regulating processes","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1993678048","doi":"https://doi.org/10.1214/ejp.v17-2010","mag":"1993678048"},"language":"en","primary_location":{"id":"doi:10.1214/ejp.v17-2010","doi":"https://doi.org/10.1214/ejp.v17-2010","is_oa":true,"landing_page_url":"https://doi.org/10.1214/ejp.v17-2010","pdf_url":"https://projecteuclid.org/journals/electronic-journal-of-probability/volume-17/issue-none/Self-regulating-processes/10.1214/EJP.v17-2010.pdf","source":{"id":"https://openalex.org/S181633058","display_name":"Electronic Journal of Probability","issn_l":"1083-6489","issn":["1083-6489"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","jufo-2","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 Journal of Probability","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://projecteuclid.org/journals/electronic-journal-of-probability/volume-17/issue-none/Self-regulating-processes/10.1214/EJP.v17-2010.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103247937","display_name":"Olivier Barri\u00e8re","orcid":"https://orcid.org/0000-0002-4990-4217","observed_orcids":["https://orcid.org/0000-0002-4990-4217"]},"institutions":[{"id":"https://openalex.org/I4405278184","display_name":"Institut de recherche en communications et cybern\u00e9tique de Nantes","ror":"https://ror.org/057tpx975","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100445878","https://openalex.org/I1294671590","https://openalex.org/I205703379","https://openalex.org/I4210117005","https://openalex.org/I4210124215","https://openalex.org/I4210127572","https://openalex.org/I4210139971","https://openalex.org/I4405265706","https://openalex.org/I4405278184","https://openalex.org/I97188460"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Barri\u00e8re","raw_affiliation_strings":["IRCCyN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRCCyN","institution_ids":["https://openalex.org/I4405278184"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033056461","display_name":"Antoine Echelard","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I216852786","display_name":"\u00c9cole Centrale Paris","ror":"https://ror.org/00v0y5771","country_code":"FR","type":"education","lineage":["https://openalex.org/I216852786","https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Antoine Echelard","raw_affiliation_strings":["Inria and \u00c9cole Centrale Paris","Regularity - Probabilistic modelling of irregularity and application to uncertainties management (Bureau C410 Laboratoire MAS, Ecole Centrale Paris Grande Voie des Vignes 92290 Chatenay Malabry France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria and \u00c9cole Centrale Paris","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I216852786"]},{"raw_affiliation_string":"Regularity - Probabilistic modelling of irregularity and application to uncertainties management (Bureau C410 Laboratoire MAS, Ecole Centrale Paris Grande Voie des Vignes 92290 Chatenay Malabry France - France)","institution_ids":["https://openalex.org/I216852786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082628589","display_name":"Jacques L\u00e9vy V\u00e9hel","orcid":"https://orcid.org/0000-0001-6498-2128","observed_orcids":["https://orcid.org/0000-0001-6498-2128"]},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I216852786","display_name":"\u00c9cole Centrale Paris","ror":"https://ror.org/00v0y5771","country_code":"FR","type":"education","lineage":["https://openalex.org/I216852786","https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jacques L\u00e9vy V\u00e9hel","raw_affiliation_strings":["Inria and \u00c9cole Centrale Paris","Regularity - Probabilistic modelling of irregularity and application to uncertainties management (Bureau C410 Laboratoire MAS, Ecole Centrale Paris Grande Voie des Vignes 92290 Chatenay Malabry France - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria and \u00c9cole Centrale Paris","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I216852786"]},{"raw_affiliation_string":"Regularity - Probabilistic modelling of irregularity and application to uncertainties management (Bureau C410 Laboratoire MAS, Ecole Centrale Paris Grande Voie des Vignes 92290 Chatenay Malabry France - France)","institution_ids":["https://openalex.org/I216852786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"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":1.0653,"has_fulltext":true,"cited_by_count":10,"citation_normalized_percentile":{"value":0.78940887,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"17","issue":"none","first_page":"1","last_page":"30"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.27730000019073486,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.27730000019073486,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.19779999554157257,"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/T10067","display_name":"Stochastic processes and financial applications","score":0.1225999966263771,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/self-regulating-processes","display_name":"self-regulating processes","score":0.9879999756813049},{"id":"https://openalex.org/keywords/holder-exponent","display_name":"H\u00f6lder exponent","score":0.796999990940094},{"id":"https://openalex.org/keywords/pointwise-regularity","display_name":"pointwise regularity","score":0.7369999885559082},{"id":"https://openalex.org/keywords/weierstrass-function","display_name":"Weierstrass function","score":0.9459999799728394},{"id":"https://openalex.org/keywords/multifractional-brownian-motion","display_name":"multifractional Brownian motion","score":0.996999979019165},{"id":"https://openalex.org/keywords/stochastic-processes","display_name":"stochastic processes","score":0.5320000052452087},{"id":"https://openalex.org/keywords/function-construction","display_name":"function construction","score":0.3409999907016754}],"concepts":[{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.8564962148666382},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8377652168273926},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.6908202767372131},{"id":"https://openalex.org/C108819105","wikidata":"https://www.wikidata.org/wiki/Q1143293","display_name":"Fractional Brownian motion","level":3,"score":0.5444269776344299},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4977264702320099},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.484237402677536},{"id":"https://openalex.org/C53920899","wikidata":"https://www.wikidata.org/wiki/Q4976524","display_name":"Brownian excursion","level":5,"score":0.47443830966949463},{"id":"https://openalex.org/C101615488","wikidata":"https://www.wikidata.org/wiki/Q1503307","display_name":"Geometric Brownian motion","level":4,"score":0.470798134803772},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.46591782569885254},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.43949830532073975},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.43919646739959717},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38939687609672546},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35293781757354736},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.348983496427536},{"id":"https://openalex.org/C68710425","wikidata":"https://www.wikidata.org/wiki/Q5275442","display_name":"Diffusion process","level":3,"score":0.29679736495018005},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08010715246200562},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06803914904594421},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06777781248092651},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1214/ejp.v17-2010","doi":"https://doi.org/10.1214/ejp.v17-2010","is_oa":true,"landing_page_url":"https://doi.org/10.1214/ejp.v17-2010","pdf_url":"https://projecteuclid.org/journals/electronic-journal-of-probability/volume-17/issue-none/Self-regulating-processes/10.1214/EJP.v17-2010.pdf","source":{"id":"https://openalex.org/S181633058","display_name":"Electronic Journal of Probability","issn_l":"1083-6489","issn":["1083-6489"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","jufo-2","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 Journal of Probability","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00749742v1","doi":null,"is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00749742","pdf_url":"https://inria.hal.science/hal-00749742v1/file/regeq7m.pdf","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Electronic Journal of Probability, 2012, &#x27E8;10.1214/EJP.v17-2010&#x27E9;","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.372.809","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.372.809","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ejp.ejpecp.org/article/viewFile/2010/2169/","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.393.8530","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.393.8530","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://hal.inria.fr/docs/00/74/97/42/PDF/regeq7m.pdf","raw_type":"text"},{"id":"pmh:oai:CULeuclid:euclid.ejp/1465062425","doi":null,"is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.ejp/1465062425","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1214/ejp.v17-2010","doi":"https://doi.org/10.1214/ejp.v17-2010","is_oa":true,"landing_page_url":"https://doi.org/10.1214/ejp.v17-2010","pdf_url":"https://projecteuclid.org/journals/electronic-journal-of-probability/volume-17/issue-none/Self-regulating-processes/10.1214/EJP.v17-2010.pdf","source":{"id":"https://openalex.org/S181633058","display_name":"Electronic Journal of Probability","issn_l":"1083-6489","issn":["1083-6489"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","doaj","dongbi-c","jufo-2","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 Journal of Probability","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.46000000834465027}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1993678048.pdf","grobid_xml":"https://content.openalex.org/works/W1993678048.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1505006100","https://openalex.org/W1606463571","https://openalex.org/W1667517889","https://openalex.org/W1968298447","https://openalex.org/W2017769677","https://openalex.org/W2018124903","https://openalex.org/W2020402888","https://openalex.org/W2026237857","https://openalex.org/W2029512392","https://openalex.org/W2031753087","https://openalex.org/W2050555075","https://openalex.org/W2063137026","https://openalex.org/W2121354855","https://openalex.org/W2133935022","https://openalex.org/W2323128526"],"related_works":["https://openalex.org/W2003596454","https://openalex.org/W3203913749","https://openalex.org/W4382939522","https://openalex.org/W2142979439","https://openalex.org/W2375736556","https://openalex.org/W1977122601","https://openalex.org/W2054691066","https://openalex.org/W2058380216","https://openalex.org/W4301683645","https://openalex.org/W2393106323"],"abstract_inverted_index":{"We":[0,26],"construct":[1],"functions":[2,30],"and":[3,14,31,41,74],"stochastic":[4],"processes":[5,32,49],"for":[6,86],"which":[7],"a":[8,68,77,84],"functional":[9],"relation":[10],"holds":[11],"between":[12],"amplitude":[13],"local":[15,23],"regularity,":[16],"as":[17],"measured":[18],"by":[19,34],"the":[20,42,81],"pointwise":[21],"or":[22],"H\u00f6lder":[24],"exponent.":[25],"consider":[27],"in":[28,57,80],"particular":[29],"built":[33],"extending":[35],"Weierstrass":[36],"function,":[37],"multifractional":[38],"Brownian":[39,46],"motion":[40],"L\u00e9vy":[43],"construction":[44],"of":[45,62,83],"motion.":[47],"Such":[48],"have":[50],"recently":[51],"proved":[52],"to":[53,66,71,75],"be":[54],"relevant":[55],"models":[56],"various":[58],"applications.":[59],"The":[60],"aim":[61],"this":[63],"work":[64],"is":[65],"provide":[67,76],"theoretical":[69],"background":[70],"these":[72],"studies":[73],"first":[78],"step":[79],"development":[82],"theory":[85],"such":[87],"self-regulating":[88],"processes.":[89]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-10-14T16:39:01.820549","created_date":"2025-10-10T00:00:00"}
