Abstract
This note provides an alternative probabilistic approach to the theory in dimension 2. The key idea is to study the concentration phenomenon of martingales associated to polynomials of Gaussian variables. This is based on an adaptation of the work of Lacoin-Rhodes-Vargas [3] on the quantum Mabuchi K-energy.
Funding Statement
This work was supported by the ERC grant QFPROBA, No.741487.
Acknowledgments
The author is indebted to Christophe Garban, Rémi Rhodes and Vincent Vargas for communicating the idea. We are grateful for the referees’ numerous comments that helped to improve the article.
Citation
Yichao Huang. "Another probabilistic construction of ." Electron. Commun. Probab. 26 1 - 13, 2021. https://doi.org/10.1214/21-ECP389
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