Andres A. Contreras Hip

collaborators

4 papers

math.PR2025

Weak exponential metrics for high-dimensional log-correlated Gaussian fields

Andres A. Contreras Hip, Zijie Zhuang

For log-correlated Gaussian fields on $R^{d}$ with $d \geq 2$ , 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 $H (x, t)$ on the interval $[0, L]$ with Neumann boundary conditions depending on parameters $u, v \geq 0$ (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 $I^¾ \geq 0$ and $d \geq 3$ , the higher-dimensional Liouville first passage percolation (LFPP) is a random metric on $I^µ Z^{d}$ obtained by reweighting each vertex by $e^{Î…

math.AP2025

Channels of Energy for the Linearized Energy Critical Wave Equation in Even Dimensions $N \geq 8$

Andres A. Contreras Hip

We prove an exterior energy estimate for the linearized energy critical wave equation around a multisoliton for even dimensions $N \geq 8.$ This extends previous work of Collot-Duyc…

Weak exponential metrics for high-dimensional log-correlated Gaussian fields

Fluctuation exponents of the open KPZ equation in the maximal current phase

Bounds on the distance exponent for higher-dimensional Liouville first passage percolation

Channels of Energy for the Linearized Energy Critical Wave Equation in Even Dimensions N≥8

Channels of Energy for the Linearized Energy Critical Wave Equation in Even Dimensions $N \geq 8$