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math.PR2026
Moments Comparison Inequalities for Critical 2d Stochastic Heat Flow, Polymers and GMC
Ziyang Liu, Zuodi Xie
We employ a Gaussian convex inequality developed in [AC15], [Che26], [Gue22], and [FUMPC26] to establish (one sided) moment comparison inequalities for Gaussian multiplicative chao…
math.PR2026
Extrema of cooling branching Brownian motion and related Gaussian fields
Zuodi Xie
We introduce a family of Gaussian fields with an inhomogeneous cooling variance profile, indexed by , whose covariance is log--log-correlated at and approaches…