<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://omeka.ihes.fr/document/P_77_15.pdf">
    <dcterms:title><![CDATA[Invariants polynomiaux des groupes de symétrie moléculaire et cristallographique]]></dcterms:title>
    <dcterms:subject><![CDATA[INVARIANTS]]></dcterms:subject>
    <dcterms:subject><![CDATA[POLYNOMES]]></dcterms:subject>
    <dcterms:subject><![CDATA[SYMETRIE MOLECULAIRE]]></dcterms:subject>
    <dcterms:subject><![CDATA[CRISTALLOGRAPHIE]]></dcterms:subject>
    <dcterms:subject><![CDATA[MATHEMATIQUES]]></dcterms:subject>
    <dcterms:creator><![CDATA[MICHEL]]></dcterms:creator>
    <dcterms:source><![CDATA[P/77/15]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[01/1977]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[12 f.]]></dcterms:format>
    <dcterms:language><![CDATA[FR]]></dcterms:language>
    <dcterms:type><![CDATA[TEXTE]]></dcterms:type>
    <dcterms:type><![CDATA[PREPUBLICATION]]></dcterms:type>
    <dcterms:identifier><![CDATA[P_77_15.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1977]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[MICHEL]]></dcterms:rightsHolder>
</rdf:Description><rdf:Description rdf:about="https://omeka.ihes.fr/document/P_77_187.pdf">
    <dcterms:title><![CDATA[Application of Morse theory to the symmetry breaking in the Landau theory of second order phase transition]]></dcterms:title>
    <dcterms:subject><![CDATA[THEORIE DE LANDAU]]></dcterms:subject>
    <dcterms:subject><![CDATA[TRANSITIONS DE PHASES]]></dcterms:subject>
    <dcterms:subject><![CDATA[ENSEMBLES DE POINTS]]></dcterms:subject>
    <dcterms:subject><![CDATA[ANALYSE VECTORIELLE]]></dcterms:subject>
    <dcterms:subject><![CDATA[SYMETRIE BRISEE]]></dcterms:subject>
    <dcterms:subject><![CDATA[THEORIE DE MORSE]]></dcterms:subject>
    <dcterms:description><![CDATA[Abstract : We treat here the case of all irreps (irreducible representations) on the reals of the 32 point groups. For each point group these irreps are irreps with wave vector k = 0 of the corresponding space groups. Landau model of second order phase transition can be applied to those irreps with no third degree invariants : one has to look for minima of a bounded below fourth degree polynomial which is not minimum<br />
at the origin, and determine the little groups (= isotropy groups) of these minima ; they are the subgroups into which the symmetry can be broken in the transition. By an efficient strategy we reduce the study of the 153 equivalence classes of irreps to few cases (6). Moreover we do not need to study the minima of invariant polynomials,we simply apply Morse theory to find the possible little groups of minima. ]]></dcterms:description>
    <dcterms:creator><![CDATA[MICHEL]]></dcterms:creator>
    <dcterms:creator><![CDATA[MOZRZYMAS]]></dcterms:creator>
    <dcterms:source><![CDATA[P/77/187]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[09/1977]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[12 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_187.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1977]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[MICHEL]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[MOZRZYMAS]]></dcterms:rightsHolder>
</rdf:Description><rdf:Description rdf:about="https://omeka.ihes.fr/document/P_80_37.pdf">
    <dcterms:title><![CDATA[The Description of the symmetry of physical states and spontaneous symmetry breaking]]></dcterms:title>
    <dcterms:subject><![CDATA[SYMETRIE]]></dcterms:subject>
    <dcterms:subject><![CDATA[SYMETRIE BRISEE]]></dcterms:subject>
    <dcterms:subject><![CDATA[MATIERE CONDENSEE]]></dcterms:subject>
    <dcterms:description><![CDATA[Lecture given on September 1st, 1980 at the Colloque Pierre Curie sur La Symetrie et les ruptures de sypétrie en phyisque de la matière condensée]]></dcterms:description>
    <dcterms:creator><![CDATA[MICHEL]]></dcterms:creator>
    <dcterms:source><![CDATA[P/80/37]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[10/1980]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[9 f.]]></dcterms:format>
    <dcterms:language><![CDATA[EN]]></dcterms:language>
    <dcterms:language><![CDATA[FR]]></dcterms:language>
    <dcterms:type><![CDATA[TEXTE]]></dcterms:type>
    <dcterms:type><![CDATA[PREPUBLICATION]]></dcterms:type>
    <dcterms:identifier><![CDATA[P_80_37.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1980]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[MICHEL]]></dcterms:rightsHolder>
</rdf:Description><rdf:Description rdf:about="https://omeka.ihes.fr/document/P_81_58.pdf">
    <dcterms:title><![CDATA[Symmetry in condensed matter physics]]></dcterms:title>
    <dcterms:subject><![CDATA[SYMETRIE]]></dcterms:subject>
    <dcterms:subject><![CDATA[MATIERE CONDENSEE]]></dcterms:subject>
    <dcterms:creator><![CDATA[MICHEL]]></dcterms:creator>
    <dcterms:source><![CDATA[P/81/58]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[11/1981]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[8 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_81_58.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1981]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[MICHEL]]></dcterms:rightsHolder>
</rdf:Description><rdf:Description rdf:about="https://omeka.ihes.fr/document/P_83_21.pdf">
    <dcterms:title><![CDATA[Landau theory of second order phase transitions and invariant theory]]></dcterms:title>
    <dcterms:subject><![CDATA[INVARIANTS]]></dcterms:subject>
    <dcterms:subject><![CDATA[POLYNOMES]]></dcterms:subject>
    <dcterms:subject><![CDATA[THEORIE DE LANDAU]]></dcterms:subject>
    <dcterms:subject><![CDATA[TRANSITIONS DE PHASES]]></dcterms:subject>
    <dcterms:description><![CDATA[Abstract : We give some basic concepts on group actions and theorems in invariant theory useful for the contrcution and the study of Landau polynomials. We apply them to the study of the isotropy groups of extrema of Landau polynomials. We explain some technique for finding new extrema from old ones and we state some recent results concerning Landau theory of second order phase transitions.]]></dcterms:description>
    <dcterms:creator><![CDATA[MICHEL]]></dcterms:creator>
    <dcterms:source><![CDATA[P/83/21]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[03/1983]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[9 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_83_21.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1983]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[MICHEL]]></dcterms:rightsHolder>
</rdf:Description><rdf:Description rdf:about="https://omeka.ihes.fr/document/P_70_X036.pdf">
    <dcterms:title><![CDATA[On the Nature of turbulence]]></dcterms:title>
    <dcterms:subject><![CDATA[RESEAUX]]></dcterms:subject>
    <dcterms:subject><![CDATA[PHYSIQUE STATISTIQUE]]></dcterms:subject>
    <dcterms:subject><![CDATA[SYSTEMES COMPLEXES]]></dcterms:subject>
    <dcterms:subject><![CDATA[SYSTEMES DYNAMIQUES]]></dcterms:subject>
    <dcterms:subject><![CDATA[INFORMATIQUE QUANTIQUE]]></dcterms:subject>
    <dcterms:subject><![CDATA[SYSTEMES NON LINEAIRES]]></dcterms:subject>
    <dcterms:description><![CDATA[Abstract : A mechanism for the genetration of turbulence and related phenomena in dissipative systems is proposed.]]></dcterms:description>
    <dcterms:creator><![CDATA[RUELLE]]></dcterms:creator>
    <dcterms:creator><![CDATA[TAKENS]]></dcterms:creator>
    <dcterms:source><![CDATA[P/70/X036]]></dcterms:source>
    <dcterms:publisher><![CDATA[IHES]]></dcterms:publisher>
    <dcterms:date><![CDATA[05/1970]]></dcterms:date>
    <dcterms:format><![CDATA[A4]]></dcterms:format>
    <dcterms:format><![CDATA[16 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_70_X036.pdf]]></dcterms:identifier>
    <dcterms:coverage><![CDATA[1970]]></dcterms:coverage>
    <dcterms:provenance><![CDATA[IHES]]></dcterms:provenance>
    <dcterms:rightsHolder><![CDATA[IHES]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[RUELLE]]></dcterms:rightsHolder>
    <dcterms:rightsHolder><![CDATA[TAKENS]]></dcterms:rightsHolder>
</rdf:Description></rdf:RDF>
