Entropie des mesures semi-classiques en dimension 2
Séminaire Équations aux dérivées partielles (Polytechnique) (2009-2010), Talk no. 9, 13 p.

On étudie les propriétés asymptotiques des fonctions propres du laplacien sur des surfaces riemanniennes compactes et lisses de type Anosov (par exemple à courbure strictement négative). Précisément, on répond à une question d’Anantharaman et Nonnenmacher [4] en montrant que l’entropie de Kolmogorov-Sinai d’une mesure semi-classique μ pour le flot géodésique g t est bornée inférieurement par la moitié de la borne de Ruelle.

@article{SEDP_2009-2010____A9_0,
     author = {Rivi\`ere, Gabriel},
     title = {Entropie des mesures semi-classiques en dimension $2$},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique)},
     publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {2009-2010},
     note = {talk:9},
     language = {fr},
     url = {http://www.numdam.org/item/SEDP_2009-2010____A9_0}
}
Rivière, Gabriel. Entropie des mesures semi-classiques en dimension $2$. Séminaire Équations aux dérivées partielles (Polytechnique) (2009-2010), Talk no. 9, 13 p. http://www.numdam.org/item/SEDP_2009-2010____A9_0/

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