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Kahler-Einstein metrics emerging from free fermions and statistical mechanics
Kahler-Einstein metrics free fermions statistical mechanics
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2010/12/15
We propose a statistical mechanical derivation of Kähler-Einstein1 metrics, i.e. solutions to Einstein’s vacuum field equations in Euclidean sig-nature (with a cosmological constant) on a compact...
A thermodynamical formalism for Monge-Ampere equations, Moser-Trudinger inequalities and Kahler-Einstein metrics
thermodynamical formalism Monge-Ampere equations
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2010/11/23
We develop a variational calculus for a certain free energy functional on the space of all probability measures on a Kahler manifold X. This functional can be seen as a generalization Mabuchi's K-ene...