Tuesday, April 24, 2012

1112.4382 (Frank Ferrari et al.)

Simple matrix models for random Bergman metrics    [PDF]

Frank Ferrari, Semyon Klevtsov, Steve Zelditch
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 Kahler manifold and random matrix models. We consider simple examples of such models and compute the one and two-point functions of the metric. These geometric correlation functions correspond to new interesting types of matrix model correlators. We study a large class of examples and provide in particular a detailed study of the Wishart model.
View original: http://arxiv.org/abs/1112.4382

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