6 papers
Phase retrieval for Schrödinger evolutions
Ben Pineau, João P. G. Ramos, Mitchell A. Taylor
Consider the one-dimensional Schrödinger evolution where is a real-valued time-dependent potentia…
Stable Phase Retrieval for Spans of Independent Random Variables
Pedro Abdalla, Jaume de Dios Pont, João P. G. Ramos +1
We prove that, after normalization, stable phase retrieval holds over the -spans of independent real-valued centered random variables if and only if all but possibly one…
Gauge transform for the Korteweg-de Vries equation and well-posedness below the -scale
Andreia Chapouto, Simão Correia, João Pedro Ramos
We propose a new formulation of the Korteweg-de Vries equation (KdV) on the real line, via a gauge transform. While KdV and the gauged equation are equivalent for smooth solutions,…
Quantitative stability for the Brascamp-Lieb inequality and moment measures
João Miguel Machado, João P. G. Ramos
We develop a quantitative stability theory for moment measures based on a new sharp uniform stability principle for the Brascamp-Lieb variance inequality in terms of the -dist…
On sharp stable recovery from clipped and folded measurements
Pedro Abdalla, Daniel Freeman, João P. G. Ramos +1
We investigate the stability of vector recovery from random linear measurements which have been either clipped or folded. This is motivated by applications where measurement device…
Improved stability versions of the Prékopa-Leindler inequality
Alessio Figalli, João P. G. Ramos
We consider the problem of stability for the Prékopa-Leindler inequality. Exploiting properties of the transport map between radially decreasing functions and a suitable functional…