79 citations · 558 across the 28 of their papers we have counts for
3 papers · 2 filters
Gravitational Actions in Two Dimensions and the Mabuchi Functional
Frank Ferrari, Semyon Klevtsov, Steve Zelditch
The Mabuchi energy is an interesting geometric functional on the space of Kähler metrics that plays a crucial rôle in the study of the geometry of Kähler manifolds. We show that th…
Random Geometry, Quantum Gravity and the Kähler Potential
Frank Ferrari, Semyon Klevtsov, Steve Zelditch
We propose a new method to define theories of random geometries, using an explicit and simple map between metrics and large hermitian matrices. We outline some of the many possible…
Random Kähler Metrics
Frank Ferrari, Semyon Klevtsov, Steve Zelditch
The purpose of this article is to propose a new method to define and calculate path integrals over metrics on a Kähler manifold. The main idea is to use finite dimensional spaces o…