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math.PR2025
Weak exponential metrics for high-dimensional log-correlated Gaussian fields
Andres A. Contreras Hip, Zijie Zhuang
For log-correlated Gaussian fields on with , Ding-Gwynne-Zhuang (2023) established the existence of subsequential limits of exponential metrics obtained fr…
math.PR2025
Fluctuation exponents of the open KPZ equation in the maximal current phase
Andres A. Contreras Hip, Sayan Das, Antonios Zitridis
We consider the open KPZ equation on the interval with Neumann boundary conditions depending on parameters (the so-called maximal current phase). For $L…
math.PR2025
Bounds on the distance exponent for higher-dimensional Liouville first passage percolation
Andres A. Contreras Hip, Zijie Zhuang
For and , the higher-dimensional Liouville first passage percolation (LFPP) is a random metric on obtained by reweighting each vertex by $e^{ξh_…