{"id":"https://openalex.org/W2093390115","doi":"https://doi.org/10.1007/s10998-010-3195-8","title":"Applying It\u00f4\u2019s motto: \u201cLook at the infinite dimensional picture\u201d by constructing sheets to obtain processes increasing in the convex order","display_name":"Applying It\u00f4\u2019s motto: \u201cLook at the infinite dimensional picture\u201d by constructing sheets to obtain processes increasing in the convex order","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2093390115","doi":"https://doi.org/10.1007/s10998-010-3195-8","mag":"2093390115"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-010-3195-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-010-3195-8","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/A5017205899","display_name":"Francis Hirsch","orcid":"https://orcid.org/0000-0001-9295-6138"},"institutions":[{"id":"https://openalex.org/I88467170","display_name":"Universit\u00e9 d'\u00c9vry Val-d'Essonne","ror":"https://ror.org/00e96v939","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954","https://openalex.org/I88467170"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Francis Hirsch","raw_affiliation_strings":["Laboratoire d\u2019Analyse et Probabilit\u00e9s, Universit\u00e9 d\u2019\u00c9vry Val d\u2019Essonne, Boulevard F. Mitterrand, F-91025, \u00c9vry Cedex, France","Universit\u00e9 d\u2019\u00c9vry-Val d\u2019Essonne"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d\u2019Analyse et Probabilit\u00e9s, Universit\u00e9 d\u2019\u00c9vry Val d\u2019Essonne, Boulevard F. Mitterrand, F-91025, \u00c9vry Cedex, France","institution_ids":["https://openalex.org/I88467170"]},{"raw_affiliation_string":"Universit\u00e9 d\u2019\u00c9vry-Val d\u2019Essonne","institution_ids":["https://openalex.org/I88467170"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110261469","display_name":"Bernard Roynette","orcid":null},"institutions":[{"id":"https://openalex.org/I3017839442","display_name":"Institut \u00c9lie Cartan de Lorraine","ror":"https://ror.org/04rvw8791","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I3017839442","https://openalex.org/I4210141950","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bernard Roynette","raw_affiliation_strings":["Institut Elie Cartan, Universit\u00e9 Henri Poincar\u00e9, B.P. 239, F-54506, Vand\u0153uvre-l\u00e8s-Nancy Cedex, France","Universit\u00e9 Henri POINCARE"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Elie Cartan, Universit\u00e9 Henri Poincar\u00e9, B.P. 239, F-54506, Vand\u0153uvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I3017839442","https://openalex.org/I90183372"]},{"raw_affiliation_string":"Universit\u00e9 Henri POINCARE","institution_ids":["https://openalex.org/I90183372"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110614037","display_name":"Marc Yor","orcid":null},"institutions":[{"id":"https://openalex.org/I185839726","display_name":"Institut Universitaire de France","ror":"https://ror.org/055khg266","country_code":"FR","type":"education","lineage":["https://openalex.org/I185839726"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4210147464","display_name":"Laboratoire de Probabilit\u00e9s et Mod\u00e8les Al\u00e9atoires","ror":"https://ror.org/04hjc7403","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4210147464"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Marc Yor","raw_affiliation_strings":["Institut Universitaire de France, Laboratoire de Probabilit\u00e9s et Mod\u00e8les Al\u00e9atoires, Universit\u00e9 Paris VI et VII, 4 Place Jussieu \u2014 Case 188, F-75252, Paris Cedex 05, France","Universit\u00e9 Paris VI et VII"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Universitaire de France, Laboratoire de Probabilit\u00e9s et Mod\u00e8les Al\u00e9atoires, Universit\u00e9 Paris VI et VII, 4 Place Jussieu \u2014 Case 188, F-75252, Paris Cedex 05, France","institution_ids":["https://openalex.org/I4210147464","https://openalex.org/I39804081","https://openalex.org/I185839726"]},{"raw_affiliation_string":"Universit\u00e9 Paris VI et VII","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I204730241"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017205899"],"corresponding_institution_ids":["https://openalex.org/I88467170"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.9213,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.88578443,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"61","issue":"1-2","first_page":"195","last_page":"211"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9860000014305115,"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":0.9860000014305115,"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/T10282","display_name":"Financial Risk and Volatility Modeling","score":0.9800000190734863,"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/T11720","display_name":"Probability and Risk Models","score":0.9230999946594238,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8538827896118164},{"id":"https://openalex.org/keywords/martingale","display_name":"Martingale (probability theory)","score":0.7143920660018921},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6771263480186462},{"id":"https://openalex.org/keywords/brownian-motion","display_name":"Brownian motion","score":0.5860012173652649},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5067902207374573},{"id":"https://openalex.org/keywords/gaussian-process","display_name":"Gaussian process","score":0.46026068925857544},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.45350176095962524},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4045060873031616},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3573480546474457},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.29170113801956177},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.19914016127586365}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8538827896118164},{"id":"https://openalex.org/C48406656","wikidata":"https://www.wikidata.org/wiki/Q534112","display_name":"Martingale (probability theory)","level":2,"score":0.7143920660018921},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6771263480186462},{"id":"https://openalex.org/C112401455","wikidata":"https://www.wikidata.org/wiki/Q178036","display_name":"Brownian motion","level":2,"score":0.5860012173652649},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5067902207374573},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.46026068925857544},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.45350176095962524},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4045060873031616},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3573480546474457},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.29170113801956177},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.19914016127586365},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-010-3195-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-010-3195-8","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":24,"referenced_works":["https://openalex.org/W26329297","https://openalex.org/W96554800","https://openalex.org/W152724193","https://openalex.org/W581869393","https://openalex.org/W1483560004","https://openalex.org/W1525990666","https://openalex.org/W1529135606","https://openalex.org/W1554577510","https://openalex.org/W1608901656","https://openalex.org/W1969504277","https://openalex.org/W1972442551","https://openalex.org/W1978744255","https://openalex.org/W2021524765","https://openalex.org/W2029230104","https://openalex.org/W2041318105","https://openalex.org/W2085721427","https://openalex.org/W2153986661","https://openalex.org/W2797641211","https://openalex.org/W2799137445","https://openalex.org/W3108328660","https://openalex.org/W3124656569","https://openalex.org/W3124932987","https://openalex.org/W4255440762","https://openalex.org/W4297820203"],"related_works":["https://openalex.org/W126238052","https://openalex.org/W2953059741","https://openalex.org/W2951834733","https://openalex.org/W1782544383","https://openalex.org/W4298231342","https://openalex.org/W104314157","https://openalex.org/W6802963","https://openalex.org/W4379230301","https://openalex.org/W1964286703","https://openalex.org/W2169866437"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}