## Abstract

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.

Original language | English (US) |
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Article number | P04012 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Volume | 2012 |

Issue number | 4 |

DOIs | |

State | Published - Apr 2012 |

## Keywords

- correlation functions
- matrix models
- random lattices (surfaces)

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Statistics, Probability and Uncertainty