<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/M_92_22.pdf">
    <dcterms:title><![CDATA[Fourier transform restriction phenomena for certain lattice subsets and applications to non-linear evolution equations]]></dcterms:title>
    <dcterms:subject><![CDATA[TRANSFORMATIONS DE FOURIER]]></dcterms:subject>
    <dcterms:subject><![CDATA[EQUATIONS NON LINEAIRES]]></dcterms:subject>
    <dcterms:subject><![CDATA[ANALYSE HARMONIQUE]]></dcterms:subject>
    <dcterms:creator><![CDATA[BOURGAIN]]></dcterms:creator>
    <dcterms:source><![CDATA[M/92/22]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[05/1992]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[35 f.]]></dcterms:format>
    <dcterms:language><![CDATA[EN]]></dcterms:language>
    <dcterms:type><![CDATA[TEXTE]]></dcterms:type>
    <dcterms:type><![CDATA[PREPUBLICATION]]></dcterms:type>
    <dcterms:identifier><![CDATA[M_92_22.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1992]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[BOURGAIN]]></dcterms:rightsHolder>
</rdf:Description><rdf:Description rdf:about="https://archives.ihes.fr/document/M_92_62.pdf">
    <dcterms:title><![CDATA[Fourier transform restriction phenomena for certain lattice subsets and applications to non-linear evolution equations (New version)]]></dcterms:title>
    <dcterms:subject><![CDATA[ANALYSE DE FOURIER]]></dcterms:subject>
    <dcterms:subject><![CDATA[EQUATIONS INTEGRALES]]></dcterms:subject>
    <dcterms:subject><![CDATA[EQUATION DE KORTEWEG-DE VRIES]]></dcterms:subject>
    <dcterms:subject><![CDATA[THEOREME DE PICARD]]></dcterms:subject>
    <dcterms:creator><![CDATA[BOURGAIN]]></dcterms:creator>
    <dcterms:source><![CDATA[M/92/62]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[08/1992]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[42 f.]]></dcterms:format>
    <dcterms:language><![CDATA[EN]]></dcterms:language>
    <dcterms:type><![CDATA[TEXTE]]></dcterms:type>
    <dcterms:type><![CDATA[PREPUBLICATION]]></dcterms:type>
    <dcterms:identifier><![CDATA[M_92_62.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1992]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[BOURGAIN]]></dcterms:rightsHolder>
</rdf:Description><rdf:Description rdf:about="https://archives.ihes.fr/document/M_93_29.pdf">
    <dcterms:title><![CDATA[On the Cauchy problem for periodic KDV-type equations]]></dcterms:title>
    <dcterms:subject><![CDATA[PROBLEME DE CAUCHY]]></dcterms:subject>
    <dcterms:subject><![CDATA[EQUATIONS TYPE  DE KORTEWEG-DE VRIES]]></dcterms:subject>
    <dcterms:subject><![CDATA[TRANSFORMATIONS DE FOURIER]]></dcterms:subject>
    <dcterms:subject><![CDATA[OPERATEURS]]></dcterms:subject>
    <dcterms:subject><![CDATA[EQUATIONS AUX DERIVEES PARTIELLES]]></dcterms:subject>
    <dcterms:creator><![CDATA[BOURGAIN]]></dcterms:creator>
    <dcterms:source><![CDATA[M/93/29]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[06/1993]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[27 f.]]></dcterms:format>
    <dcterms:language><![CDATA[EN]]></dcterms:language>
    <dcterms:type><![CDATA[TEXTE]]></dcterms:type>
    <dcterms:type><![CDATA[PREPUBLICATION]]></dcterms:type>
    <dcterms:identifier><![CDATA[M_93_29.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1993]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[BOURGAIN]]></dcterms:rightsHolder>
</rdf:Description><rdf:Description rdf:about="https://archives.ihes.fr/document/P_80_35.pdf">
    <dcterms:title><![CDATA[On the existence of Fegeinbaum&#039;s fixed point]]></dcterms:title>
    <dcterms:subject><![CDATA[RESEAUX CEREBRAUX]]></dcterms:subject>
    <dcterms:subject><![CDATA[PHYSIQUE STATISTIQUE]]></dcterms:subject>
    <dcterms:subject><![CDATA[ANALYSE FONCTIONNELLE]]></dcterms:subject>
    <dcterms:subject><![CDATA[THEORIES NON LINEAIRES]]></dcterms:subject>
    <dcterms:subject><![CDATA[DYNAMIQUE]]></dcterms:subject>
    <dcterms:description><![CDATA[Abstract : We give a proof of the existence of aC2, even solution of Feigenbaum&#039;s functional equation<br />
g(x)=???10g(g(??0x)),g(0) = 1,<br />
whereg is a map of [?1, 1] into itself. It extends to a real analytic function over ?.]]></dcterms:description>
    <dcterms:creator><![CDATA[EPSTEIN]]></dcterms:creator>
    <dcterms:creator><![CDATA[CAMPANINO]]></dcterms:creator>
    <dcterms:source><![CDATA[P/80/35]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[1980]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[38 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_80_35.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1980]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[EPSTEIN]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[CAMPANINO]]></dcterms:rightsHolder>
</rdf:Description><rdf:Description rdf:about="https://archives.ihes.fr/document/P_85_55.pdf">
    <dcterms:title><![CDATA[News proofs of the existence of the Feigenbaum functions]]></dcterms:title>
    <dcterms:subject><![CDATA[EQUATIONS FONCTIONNELLES]]></dcterms:subject>
    <dcterms:subject><![CDATA[SYSTEMES DYNAMIQUES]]></dcterms:subject>
    <dcterms:description><![CDATA[Abstract : A new proof of the existence of analytic, unimodal soutions of the Cvitanovic-Feigenbaum functional equation ?g (x) = -g(g-?x)), g(x) ? 1-const. |x| r at 0, walid for all ? in (0,1), is given, and the existence of the Eckmann-Wittwer functions [8] is recovered. The method also provides the existence of solutions for certain given values of r, and in particular, for r=2, a proof requiring no computer.]]></dcterms:description>
    <dcterms:creator><![CDATA[EPSTEIN]]></dcterms:creator>
    <dcterms:source><![CDATA[P/85/55]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[10/1985]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[22 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_85_55.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1985]]></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_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: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_00_25.pdf">
    <dcterms:title><![CDATA[Existence and properties of p-tupling fixed points]]></dcterms:title>
    <dcterms:subject><![CDATA[RENORMALISATION]]></dcterms:subject>
    <dcterms:subject><![CDATA[CARTOGRAPHIE]]></dcterms:subject>
    <dcterms:subject><![CDATA[THEOREME DU POINT FIXE]]></dcterms:subject>
    <dcterms:description><![CDATA[Abstract : We prove the existence of fixed points of p-tupling renormalization operators for interval and circle mappings having a critical point of arbitrary real degree r &gt; 1. Some properties of the resulting maps are studied: analyticity, univalence, behavior as r tends to infinity.]]></dcterms:description>
    <dcterms:creator><![CDATA[EPSTEIN]]></dcterms:creator>
    <dcterms:source><![CDATA[P/00/25]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[03/2000]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[19 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_00_25.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[2000]]></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/M_84_39.pdf">
    <dcterms:title><![CDATA[A Shorter proof of the existence of the Feigenbaum fixed point]]></dcterms:title>
    <dcterms:subject><![CDATA[TOPOLOGIE]]></dcterms:subject>
    <dcterms:subject><![CDATA[OPERATEURS NON LINAIRES]]></dcterms:subject>
    <dcterms:subject><![CDATA[DEMONSTRATION]]></dcterms:subject>
    <dcterms:subject><![CDATA[THEOREME DU POINT FIXE]]></dcterms:subject>
    <dcterms:creator><![CDATA[LANFORD]]></dcterms:creator>
    <dcterms:source><![CDATA[M/84/39]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[08/1984]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[11 f.]]></dcterms:format>
    <dcterms:language><![CDATA[EN]]></dcterms:language>
    <dcterms:type><![CDATA[TEXTE]]></dcterms:type>
    <dcterms:type><![CDATA[PREPUBLICATION]]></dcterms:type>
    <dcterms:identifier><![CDATA[M_84_39.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1984]]></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_77_193.pdf">
    <dcterms:title><![CDATA[Analiticity properties of the characteristic exponents of random matrix products]]></dcterms:title>
    <dcterms:subject><![CDATA[EXPOSANTS]]></dcterms:subject>
    <dcterms:subject><![CDATA[MATRICES]]></dcterms:subject>
    <dcterms:creator><![CDATA[RUELLE]]></dcterms:creator>
    <dcterms:source><![CDATA[P/77/193]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[11/1977]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[11 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_77_193.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1977]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[RUELLE]]></dcterms:rightsHolder>
</rdf:Description></rdf:RDF>
