par Ferrari, Frank 
;Klevtsov, Semyon ;Zelditch, Steve
Référence Journal of Statistical Mechanics: Theory and Experiment
Publication Publié, 2012-03-27
;Klevtsov, Semyon ;Zelditch, SteveRéférence Journal of Statistical Mechanics: Theory and Experiment
Publication Publié, 2012-03-27
Article révisé par les pairs
| Résumé : | Recently, the authors have proposed a new approach to the theory of random metrics, making an explicit link between probability measures on the space of metrics on a Kähler manifold and random matrix models. We consider simple examples of such models and study the one-and two-point functions of the metric. These geometric correlation functions correspond to new interesting types of matrix model correlators. We provide in particular a detailed study of the Wishart model, where we determine the correlation functions explicitly. We find that the random measure in this model turns out to be concentrated on the background metric in the large N limit. © 2012 IOP Publishing Ltd and SISSA Medialab srl. |
