We give a new proof, relying on polynomial inequalities and some aspects of potential theory, of large deviation results for ensembles of random hermitian matrices.
Nous donnons une démonstration nouvelle, s’appuyant sur des inégalités polynomiales et certains aspects de la théorie du potentiel, des résultats de grande déviation pour des ensembles de matrices hermitiennes aléatoires.
@article{AFST_2011_6_20_S2_57_0, author = {Bloom, Thomas}, title = {Voiculescu{\textquoteright}s {Entropy} and {Potential} {Theory}}, journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques}, pages = {57--69}, publisher = {Universit\'e Paul Sabatier, Institut de math\'ematiques}, address = {Toulouse}, volume = {Ser. 6, 20}, number = {S2}, year = {2011}, doi = {10.5802/afst.1305}, zbl = {1241.31002}, mrnumber = {2858167}, language = {en}, url = {http://www.numdam.org/articles/10.5802/afst.1305/} }
TY - JOUR AU - Bloom, Thomas TI - Voiculescu’s Entropy and Potential Theory JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2011 SP - 57 EP - 69 VL - 20 IS - S2 PB - Université Paul Sabatier, Institut de mathématiques PP - Toulouse UR - http://www.numdam.org/articles/10.5802/afst.1305/ DO - 10.5802/afst.1305 LA - en ID - AFST_2011_6_20_S2_57_0 ER -
%0 Journal Article %A Bloom, Thomas %T Voiculescu’s Entropy and Potential Theory %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2011 %P 57-69 %V 20 %N S2 %I Université Paul Sabatier, Institut de mathématiques %C Toulouse %U http://www.numdam.org/articles/10.5802/afst.1305/ %R 10.5802/afst.1305 %G en %F AFST_2011_6_20_S2_57_0
Bloom, Thomas. Voiculescu’s Entropy and Potential Theory. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Numéro Spécial : Actes du colloque Analyse Complexe et Applications en l’honneur de Nguyen Than Van, Volume 20 (2011) no. S2, pp. 57-69. doi : 10.5802/afst.1305. http://www.numdam.org/articles/10.5802/afst.1305/
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