3 papers
math.PR2026
Royen's proof of the Gaussian correlation inequality as a supersymmetric dimensional reduction
Yichao Huang
We revisit Royen's proof of the Gaussian correlation inequality from a supersymmetric point of view. Many key elements in Royen's proof of this inequality have natural geometric in…
math.PR2023
Random analytic functions via Gaussian multiplicative chaos
Yichao Huang, Eero Saksman
We define a random analytic function on the unit disc by letting a Gaussian multiplicative measure to be one of its Clark measures. We show that is almost surely a Blaschke…
math.PR2023
Moment bounds for Gaussian multiplicative chaos with higher-dimensional singularities
Yichao Huang
We determine the exact threshold of the extended Seiberg bound for the existence of correlation functions in the boundary Liouville conformal field theory in the unit disk. In prob…