The author is a postdoc at the IAS, funded by the Zurich Insurance Company Membership. The pluripotential theoretic approach is inspired by the talks of Boucksom. The author would like to thank S. Sun, S. Donaldson, Y. Jhaveri, C. Mooney and P. Sarnak for discussions, W. Feldman for giving a simple proof to a technical lemma, and the IAS for providing a stimulating research environment.