Andres A. Contreras Hip

activity

20192025

most citedClassifying Signals Under a Finite Abelian Group Action: The Finite Dimensional Setting

1 citations · 1 across the 7 of their papers we have counts for

collaborators

9 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 $ξ \geq 0$ and $d \geq 3$ , the higher-dimensional Liouville first passage percolation (LFPP) is a random metric on $ε Z^{d}$ obtained by reweighting each vertex by $e^{ξh_…

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…

math.PR2024

Gaussian curvature on random planar maps and Liouville quantum gravity

Andres Contreras Hip, Ewain Gwynne

We investigate the notion of curvature in the context of Liouville quantum gravity (LQG) surfaces. We define the Gaussian curvature for LQG, which we conjecture is the scaling limi…

math.PR2023

A support theorem for exponential metrics of log-correlated Gaussian fields in arbitrary dimension

Andres A. Contreras Hip, Ewain Gwynne

Let $h$ be a log-correlated Gaussian field on $R^{d}$ , let $γ \in (0, 2 d),$ let $μ_{h}$ be the $γ$ -Gaussian multiplicative chaos measure, and let $D_{h}$ be an exponential metric a…

math.AP2020

On the $L^{2}$ stability of shock waves for finite-entropy solutions of Burgers

Andres A. Contreras Hip, Xavier Lamy

We prove $L^{2}$ stability estimates for entropic shocks among weak, possibly \emph{non-entropic}, solutions of scalar conservation laws $\partial_{t} u + \partial_{x} f (u) = 0$ with strictl…

math.FA2019★ 1 cited

Classifying Signals Under a Finite Abelian Group Action: The Finite Dimensional Setting

Jameson Cahill, Andres Contreras, Andres Contreras Hip

Let $G$ be a finite group acting on $C^{N}$ . We study the problem of identifyng the class in $C^{N} / G$ of a given signal: this encompasses several types of problems…

math.FA2019

Complete set of translation invariant measurements with Lipschitz bounds

Jameson Cahill, Andres Contreras, Andres Contreras Hip

In image and audio signal classification, a major problem is to build stable representations that are invariant under rigid motions and, more generally, to small diffeomorphisms. T…

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

Gaussian curvature on random planar maps and Liouville quantum gravity

A support theorem for exponential metrics of log-correlated Gaussian fields in arbitrary dimension

On the L2 stability of shock waves for finite-entropy solutions of Burgers

Classifying Signals Under a Finite Abelian Group Action: The Finite Dimensional Setting

Complete set of translation invariant measurements with Lipschitz bounds

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

On the $L^{2}$ stability of shock waves for finite-entropy solutions of Burgers