João P. G. Ramos

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20242026

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3 papers · 1 filter

math.FA2026

Stable Phase Retrieval for Spans of Independent Random Variables

Pedro Abdalla, Jaume de Dios Pont, João P. G. Ramos +1

We prove that, after $L^{2}$ normalization, stable phase retrieval holds over the $L^{2}$ -spans of independent real-valued centered random variables if and only if all but possibly one…

math.FA2025

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 $L^{1}$ -dist…

math.FA2024

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…