<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/">
<rdf:Description rdf:about="https://archives.ihes.fr/document/P_87_15.pdf">
    <dcterms:title><![CDATA[Circle mappings]]></dcterms:title>
    <dcterms:subject><![CDATA[CONFERENCES ET CONGRES]]></dcterms:subject>
    <dcterms:subject><![CDATA[CERCLE]]></dcterms:subject>
    <dcterms:subject><![CDATA[CARTOGRAPHIE]]></dcterms:subject>
    <dcterms:subject><![CDATA[SYSTEMES DYNAMIQUES]]></dcterms:subject>
    <dcterms:subject><![CDATA[GROUPE DE RENORMALISATION]]></dcterms:subject>
    <dcterms:creator><![CDATA[LANFORD]]></dcterms:creator>
    <dcterms:source><![CDATA[P/87/15]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[05/1985]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[7 f.]]></dcterms:format>
    <dcterms:language><![CDATA[EN]]></dcterms:language>
    <dcterms:type><![CDATA[TEXTE]]></dcterms:type>
    <dcterms:type><![CDATA[PREPUBLICATION]]></dcterms:type>
    <dcterms:identifier><![CDATA[P_87_15.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1987]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[LANFORD]]></dcterms:rightsHolder>
</rdf:Description><rdf:Description rdf:about="https://archives.ihes.fr/document/P_87_36.pdf">
    <dcterms:title><![CDATA[Fixed points of composition operators]]></dcterms:title>
    <dcterms:subject><![CDATA[TOPOLOGIE]]></dcterms:subject>
    <dcterms:subject><![CDATA[THEOREME DU POINT FIXE]]></dcterms:subject>
    <dcterms:subject><![CDATA[OPERATEURS DE COMPOSITION]]></dcterms:subject>
    <dcterms:description><![CDATA[Abstract : This extended version of lectures given at eht NATO advanced Study Institute on Non-Linear Evolution and Chaotic Phenomena held in June 1987 in Noto (Italy), and directed by G. Gallovotti, A. M. Anile and P. Zweifel, will appear in the proceedings of that institute. It gives a review of the proofs of the existence of fixed points of composition operators (of Feigenbaum&#039;s type) for interval and circle maps obtained by J.-P. Eckmann and the author [E], [EE]. In addition, the fixed-r method is shown to word for all r &gt; 1 in the case of the interval (r characterizez the order of the critical point of solutions) ; the solutions are shown to have inverses univalent in the upper and lower half-planes, and, in the case of the interval, for even integer r, to be polynomial-like in the sense of Douady and Hubbard [DH].]]></dcterms:description>
    <dcterms:creator><![CDATA[EPSTEIN]]></dcterms:creator>
    <dcterms:source><![CDATA[P/87/36]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[09-1987]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[17 f.]]></dcterms:format>
    <dcterms:language><![CDATA[EN]]></dcterms:language>
    <dcterms:type><![CDATA[TEXTE]]></dcterms:type>
    <dcterms:type><![CDATA[PREPUBLICATION]]></dcterms:type>
    <dcterms:identifier><![CDATA[P_87_36.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1987]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[EPSTEIN]]></dcterms:rightsHolder>
</rdf:Description><rdf:Description rdf:about="https://archives.ihes.fr/document/P_88_21.pdf">
    <dcterms:title><![CDATA[Fixed points of composition operators II]]></dcterms:title>
    <dcterms:subject><![CDATA[TOPOLOGIE]]></dcterms:subject>
    <dcterms:subject><![CDATA[THEOREME DU POINT FIXE]]></dcterms:subject>
    <dcterms:subject><![CDATA[OPERATEURS DE COMPOSITION]]></dcterms:subject>
    <dcterms:subject><![CDATA[THEORIE DES POINTS CRITIQUES]]></dcterms:subject>
    <dcterms:description><![CDATA[Abstract : Analytic unicritical fixed points of composition operators of Feigenbaum&#039;s type for inteval and circle maps are shown to exist for every value of r &gt; 1, where r is the order of the critical point.]]></dcterms:description>
    <dcterms:creator><![CDATA[EPSTEIN]]></dcterms:creator>
    <dcterms:source><![CDATA[P/88/21]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[04/1988]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[5 f.]]></dcterms:format>
    <dcterms:language><![CDATA[EN]]></dcterms:language>
    <dcterms:type><![CDATA[TEXTE]]></dcterms:type>
    <dcterms:type><![CDATA[PREPUBLICATION]]></dcterms:type>
    <dcterms:identifier><![CDATA[P_88_21.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1988]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[EPSTEIN]]></dcterms:rightsHolder>
</rdf:Description><rdf:Description rdf:about="https://archives.ihes.fr/document/P_01_27.pdf">
    <dcterms:title><![CDATA[Noncommutative Field Theory]]></dcterms:title>
    <dcterms:subject><![CDATA[THEORIE QUANTIQUE DES CHAMPS]]></dcterms:subject>
    <dcterms:subject><![CDATA[ESPACE-TEMPS]]></dcterms:subject>
    <dcterms:subject><![CDATA[CINEMATIQUE]]></dcterms:subject>
    <dcterms:subject><![CDATA[MODELES DES CORDES VIBRANTES]]></dcterms:subject>
    <dcterms:subject><![CDATA[SOLITONS]]></dcterms:subject>
    <dcterms:subject><![CDATA[INSTANTONS]]></dcterms:subject>
    <dcterms:description><![CDATA[Abstract : We review the generalization of field theory to space-time with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states. In the last few years they have been studied intensively, and many qualitatively new phenomena have been discovered, both on the classical and quantum level. <br />
To appear in Reviews of Modern Physics.]]></dcterms:description>
    <dcterms:creator><![CDATA[NEKRASOV]]></dcterms:creator>
    <dcterms:creator><![CDATA[DOUGLAS]]></dcterms:creator>
    <dcterms:source><![CDATA[P/01/27]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[06/2001]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[31 f.]]></dcterms:format>
    <dcterms:language><![CDATA[EN]]></dcterms:language>
    <dcterms:type><![CDATA[TEXTE]]></dcterms:type>
    <dcterms:type><![CDATA[PREPUBLICATION]]></dcterms:type>
    <dcterms:identifier><![CDATA[P_01_27.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[2001]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[NEKRASOV]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[DOUGLAS]]></dcterms:rightsHolder>
</rdf:Description><rdf:Description rdf:about="https://archives.ihes.fr/document/P_86_29.pdf">
    <dcterms:title><![CDATA[On the Existence of fixed points of the composition operator for circle maps]]></dcterms:title>
    <dcterms:subject><![CDATA[RESEAUX CEREBRAUX]]></dcterms:subject>
    <dcterms:subject><![CDATA[PHYSIQUE STATISTIQUE]]></dcterms:subject>
    <dcterms:subject><![CDATA[SYSTEMES COMPLEXES]]></dcterms:subject>
    <dcterms:subject><![CDATA[THEORIES NON LINEAIRES]]></dcterms:subject>
    <dcterms:subject><![CDATA[DYNAMIQUE]]></dcterms:subject>
    <dcterms:subject><![CDATA[INFORMATIQUE QUANTIQUE]]></dcterms:subject>
    <dcterms:description><![CDATA[Abstract : In the theory of circle maps with golden ratio rotation number formulated by Feigenbaum, Kadanoff, and Shenker [FKS], and by Ostlund, Rand, Sethna, and Siggia [ORSS], a central role is played by fixed points of a certain composition operator in map space. We define a common setting for the problem of proving the existence of these fixed points and of those occurring in the theory of maps of the interval. We give a proof of the existence of the fixed points for a wide range of the parameters on which they depend.]]></dcterms:description>
    <dcterms:creator><![CDATA[EPSTEIN]]></dcterms:creator>
    <dcterms:creator><![CDATA[ECKMANN]]></dcterms:creator>
    <dcterms:source><![CDATA[P/86/29]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[05/1986]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[13 f.]]></dcterms:format>
    <dcterms:language><![CDATA[EN]]></dcterms:language>
    <dcterms:type><![CDATA[TEXTE]]></dcterms:type>
    <dcterms:type><![CDATA[PREPUBLICATION]]></dcterms:type>
    <dcterms:identifier><![CDATA[P_86_29.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1986]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[EPSTEIN]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[ECKMANN]]></dcterms:rightsHolder>
</rdf:Description></rdf:RDF>