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Another probabilistic construction of ${\Phi}^{2n}$ in dimension 2

Probability 2020-03-30 v1 Mathematical Physics math.MP

Abstract

The main input of this note is to provide an alternative probabilistic approach to the Φ2n{\Phi}^{2n} theory in dimension 2, based on concentration phenomenon of martingales associated to polynomials of Gaussian variables. This is based on an adaptation of the work of Lacoin-Rhodes-Vargas, in which exponential potentials associated to quantum Mabuchi K-energy are studied.

Cite

@article{arxiv.2003.12535,
  title  = {Another probabilistic construction of ${\Phi}^{2n}$ in dimension 2},
  author = {Yichao Huang},
  journal= {arXiv preprint arXiv:2003.12535},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T14:29:36.472Z