["item",{"itemId":"10589","public":"1","featured":"0","xmlns:xsi":"http://www.w3.org/2001/XMLSchema-instance","xsi:schemaLocation":"http://omeka.org/schemas/omeka-xml/v5 http://omeka.org/schemas/omeka-xml/v5/omeka-xml-5-0.xsd","uri":"https://archives.ihes.fr/document/M_90_75.pdf?output=omeka-json","accessDate":"2026-06-25T11:57:13+02:00"},["fileContainer",["file",{"fileId":"6320"},["src","https://archives.ihes.fr/files/original/e8bc3da18e3522d0d1383909f6821c60.pdf"],["authentication","4e1f98c1be4ec8b5042a29e4407d3861"]]],["collection",{"collectionId":"118"},["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"294265"},["text","Sullivan, Dennis"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"294266"},["text","Les prépublications de Dennis Sullivan sont des travaux scientifiques réalisés entre 1974 et 1995 et témoignent de l’interdisciplinarité et des collaborations entre professeurs et chercheurs invités."]]]],["element",{"elementId":"44"},["name","Language"],["description","A language of the resource"],["elementTextContainer",["elementText",{"elementTextId":"294267"},["text","EN"]]]],["element",{"elementId":"38"},["name","Coverage"],["description","The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant"],["elementTextContainer",["elementText",{"elementTextId":"294268"},["text","1974-1995"]]]],["element",{"elementId":"90"},["name","Provenance"],["description","A statement of any changes in ownership and custody of the resource since its creation that are significant for its authenticity, integrity, and interpretation. The statement may include a description of any changes successive custodians made to the resource."],["elementTextContainer",["elementText",{"elementTextId":"294269"},["text","IHES"]]]],["element",{"elementId":"91"},["name","Rights Holder"],["description","A person or organization owning or managing rights over the resource."],["elementTextContainer",["elementText",{"elementTextId":"294270"},["text","IHES"]]]]]]]],["itemType",{"itemTypeId":"1"},["name","Text"],["description","A resource consisting primarily of words for reading (letters, dissertatations, articles, archives). Note that facsimiles or images of texts are still of the genre Text"],["elementContainer",["element",{"elementId":"6"},["name","Local URL"],["description","The URL of the local directory containing all assets of the website"],["elementTextContainer",["elementText",{"elementTextId":"295373"},["text","https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/SULLIVAN/1974-1995/M_90_75/M_90_75.pdf"]]]],["element",{"elementId":"93"},["name","OCR"],["description"],["elementTextContainer",["elementText",{"elementTextId":"295375"},["text","Oui"]]]],["element",{"elementId":"4"},["name","Location"],["description","The location of the interview"],["elementTextContainer",["elementText",{"elementTextId":"295383"},["text","Bures-sur-Yvette"]]]],["element",{"elementId":"95"},["name","Persons Mentioned"],["description"],["elementTextContainer",["elementText",{"elementTextId":"295394"},["text","CANTOR"]],["elementText",{"elementTextId":"295395"},["text","TEICHMULLER"]],["elementText",{"elementTextId":"295396"},["text","KOEBE"]],["elementText",{"elementTextId":"295397"},["text","DENJOY"]],["elementText",{"elementTextId":"295398"},["text","DE MELO"]],["elementText",{"elementTextId":"295399"},["text","VAN STRIEN"]],["elementText",{"elementTextId":"295400"},["text","SWIATEK"]],["elementText",{"elementTextId":"295401"},["text","YOCCOZ"]],["elementText",{"elementTextId":"295402"},["text","ZYGMUND"]],["elementText",{"elementTextId":"295403"},["text","EPSTEIN"]],["elementText",{"elementTextId":"295404"},["text","RIEMANN"]],["elementText",{"elementTextId":"295405"},["text","DOUADY"]],["elementText",{"elementTextId":"295406"},["text","HUBBARD"]],["elementText",{"elementTextId":"295407"},["text","MILNOR"]],["elementText",{"elementTextId":"295408"},["text","THURSTON"]],["elementText",{"elementTextId":"295409"},["text","SHARKOVSKI"]],["elementText",{"elementTextId":"295410"},["text","FEIGENBAUM"]],["elementText",{"elementTextId":"295411"},["text","COULLET"]],["elementText",{"elementTextId":"295412"},["text","TESSER"]],["elementText",{"elementTextId":"295413"},["text","MC MULLEN"]],["elementText",{"elementTextId":"295414"},["text","RAND"]],["elementText",{"elementTextId":"295415"},["text","SULLIVAN"]],["elementText",{"elementTextId":"295416"},["text","LASCOUX"]],["elementText",{"elementTextId":"295417"},["text","SHUB"]],["elementText",{"elementTextId":"295418"},["text","MCMULLEN"]],["elementText",{"elementTextId":"295419"},["text","JULIA"]],["elementText",{"elementTextId":"295420"},["text","KLEIN"]],["elementText",{"elementTextId":"295421"},["text","DE FARIA"]],["elementText",{"elementTextId":"295422"},["text","LANFORD"]],["elementText",{"elementTextId":"295423"},["text","HAUSDORF"]],["elementText",{"elementTextId":"295424"},["text","COLLET"]],["elementText",{"elementTextId":"295425"},["text","CVITANOVIC"]],["elementText",{"elementTextId":"295426"},["text","ECKMANN"]],["elementText",{"elementTextId":"295427"},["text","HERMAN"]],["elementText",{"elementTextId":"295428"},["text","GUCKENHEIMER"]],["elementText",{"elementTextId":"295429"},["text","TANGERMMAN"]],["elementText",{"elementTextId":"295430"},["text","TRESSER"]],["elementText",{"elementTextId":"295431"},["text","JIANG"]],["elementText",{"elementTextId":"295432"},["text","PALUBA"]],["elementText",{"elementTextId":"295433"},["text","POINCARE"]],["elementText",{"elementTextId":"295434"},["text","HOLDER"]],["elementText",{"elementTextId":"295435"},["text","SCHWARZ"]],["elementText",{"elementTextId":"295436"},["text","BELTRAMI"]],["elementText",{"elementTextId":"295437"},["text","GROTSCH"]],["elementText",{"elementTextId":"295438"},["text","HAMILTON"]],["elementText",{"elementTextId":"295439"},["text","LIPSCHITZ"]],["elementText",{"elementTextId":"295440"},["text","THURSTON"]],["elementText",{"elementTextId":"295441"},["text","JULIA"]]]]]],["elementSetContainer",["elementSet",{"elementSetId":"1"},["name","Dublin Core"],["description","The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/."],["elementContainer",["element",{"elementId":"43"},["name","Identifier"],["description","An unambiguous reference to the resource within a given context"],["elementTextContainer",["elementText",{"elementTextId":"295372"},["text","M_90_75.pdf"]]]],["element",{"elementId":"42"},["name","Format"],["description","The file format, physical medium, or dimensions of the resource"],["elementTextContainer",["elementText",{"elementTextId":"295374"},["text","A4"]],["elementText",{"elementTextId":"295385"},["text","25 f."]]]],["element",{"elementId":"50"},["name","Title"],["description","A name given to the resource"],["elementTextContainer",["elementText",{"elementTextId":"295376"},["text","On the Structure of infinitely many dynamical systems nested inside or outside a given one"]]]],["element",{"elementId":"39"},["name","Creator"],["description","An entity primarily responsible for making the resource"],["elementTextContainer",["elementText",{"elementTextId":"295377"},["text","SULLIVAN"]]]],["element",{"elementId":"41"},["name","Description"],["description","An account of the resource"],["elementTextContainer",["elementText",{"elementTextId":"295378"},["text","Abstract : In the content of smooth folding mappings we show bounded return time renormalization is topologically hyperbolic and find the stable and unstable manifolds. The main consequence is the asymptotic geometric rigidity of the Cantor sets defined by the critical orbits. We use the Teichmüller Contraction Principle to prove renormalization contraction in a space of holomorphic dynamical systems that contains the limit set of renormalization."]]]],["element",{"elementId":"49"},["name","Subject"],["description","The topic of the resource"],["elementTextContainer",["elementText",{"elementTextId":"295379"},["text","SYSTEMES DYNAMIQUES"]],["elementText",{"elementTextId":"295380"},["text","RENORMALISATION"]],["elementText",{"elementTextId":"295381"},["text","PHYSIQUE"]]]],["element",{"elementId":"40"},["name","Date"],["description","A point or period of time associated with an event in the lifecycle of the resource"],["elementTextContainer",["elementText",{"elementTextId":"295382"},["text","09/1990"]]]],["element",{"elementId":"51"},["name","Type"],["description","The nature or genre of the resource"],["elementTextContainer",["elementText",{"elementTextId":"295384"},["text","TEXTE"]],["elementText",{"elementTextId":"295393"},["text","PREPUBLICATION"]]]],["element",{"elementId":"48"},["name","Source"],["description","A related resource from which the described resource is derived"],["elementTextContainer",["elementText",{"elementTextId":"295386"},["text","M/90/75"]]]],["element",{"elementId":"45"},["name","Publisher"],["description","An entity responsible for making the resource available"],["elementTextContainer",["elementText",{"elementTextId":"295387"},["text","IHES"]]]],["element",{"elementId":"90"},["name","Provenance"],["description","A statement of any changes in ownership and custody of the resource since its creation that are significant for its authenticity, integrity, and interpretation. The statement may include a description of any changes successive custodians made to the resource."],["elementTextContainer",["elementText",{"elementTextId":"295388"},["text","IHES"]]]],["element",{"elementId":"44"},["name","Language"],["description","A language of the resource"],["elementTextContainer",["elementText",{"elementTextId":"295389"},["text","EN"]]]],["element",{"elementId":"38"},["name","Coverage"],["description","The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant"],["elementTextContainer",["elementText",{"elementTextId":"295390"},["text","1990"]]]],["element",{"elementId":"91"},["name","Rights Holder"],["description","A person or organization owning or managing rights over the resource."],["elementTextContainer",["elementText",{"elementTextId":"295391"},["text","IHES"]],["elementText",{"elementTextId":"295392"},["text","SULLIVAN"]]]]]]],["tagContainer",["tag",{"tagId":"1142"},["name","1990"]],["tag",{"tagId":"6430"},["name","BELTRAMI"]],["tag",{"tagId":"7237"},["name","CANTOR"]],["tag",{"tagId":"1550"},["name","COLLET"]],["tag",{"tagId":"1644"},["name","COULLET"]],["tag",{"tagId":"4112"},["name","CVITANOVIC"]],["tag",{"tagId":"9902"},["name","DE FARIA"]],["tag",{"tagId":"951"},["name","DE MELO"]],["tag",{"tagId":"5769"},["name","DENJOY"]],["tag",{"tagId":"1581"},["name","DOUADY"]],["tag",{"tagId":"516"},["name","ECKMANN"]],["tag",{"tagId":"40"},["name","EN"]],["tag",{"tagId":"445"},["name","EPSTEIN"]],["tag",{"tagId":"812"},["name","FEIGENBAUM"]],["tag",{"tagId":"9905"},["name","GROTSCH"]],["tag",{"tagId":"2125"},["name","GUCKENHEIMER"]],["tag",{"tagId":"3680"},["name","HAMILTON"]],["tag",{"tagId":"7284"},["name","HAUSDORF"]],["tag",{"tagId":"829"},["name","HERMAN"]],["tag",{"tagId":"7292"},["name","HOLDER"]],["tag",{"tagId":"3819"},["name","HUBBARD"]],["tag",{"tagId":"3079"},["name","JIANG"]],["tag",{"tagId":"3402"},["name","JULIA"]],["tag",{"tagId":"146"},["name","KLEIN"]],["tag",{"tagId":"9898"},["name","KOEBE"]],["tag",{"tagId":"464"},["name","LANFORD"]],["tag",{"tagId":"619"},["name","LASCOUX"]],["tag",{"tagId":"7347"},["name","LIPSCHITZ"]],["tag",{"tagId":"1016"},["name","MC MULLEN"]],["tag",{"tagId":"3951"},["name","MCMULLEN"]],["tag",{"tagId":"1210"},["name","MILNOR"]],["tag",{"tagId":"9904"},["name","PALUBA"]],["tag",{"tagId":"118"},["name","PHYSIQUE"]],["tag",{"tagId":"1079"},["name","POINCARE"]],["tag",{"tagId":"886"},["name","PREPUBLICATION"]],["tag",{"tagId":"3098"},["name","RAND"]],["tag",{"tagId":"7803"},["name","RENORMALISATION"]],["tag",{"tagId":"144"},["name","RIEMANN"]],["tag",{"tagId":"3142"},["name","SCHWARZ"]],["tag",{"tagId":"9901"},["name","SHARKOVSKI"]],["tag",{"tagId":"2126"},["name","SHUB"]],["tag",{"tagId":"155"},["name","SULLIVAN"]],["tag",{"tagId":"4357"},["name","SWIATEK"]],["tag",{"tagId":"2446"},["name","SYSTEMES DYNAMIQUES"]],["tag",{"tagId":"9903"},["name","TANGERMMAN"]],["tag",{"tagId":"5286"},["name","TEICHMULLER"]],["tag",{"tagId":"9899"},["name","TESSER"]],["tag",{"tagId":"1131"},["name","THURSTON"]],["tag",{"tagId":"519"},["name","TRESSER"]],["tag",{"tagId":"9900"},["name","VAN STRIEN"]],["tag",{"tagId":"1205"},["name","YOCCOZ"]],["tag",{"tagId":"2728"},["name","ZYGMUND"]]]]