CORDIS Project
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DiAnQuGe explores the quantitative properties of geometric objects through functional and harmonic analysis. It investigates how metric spaces relate to Banach spaces and examines the behavior of voting systems using mathematical modeling, aiming to bridge various fields of analysis.
This project lies at the crossroads of analysis, geometry and probability theory.
DiAnQuGe aims to uncover quantitative properties of geometric objects using techniques from functional analysis, harmonic analysis and probability.
Specifically, it is dedicated to the following directions:How well does a given metric space embed in a Banach space or a space with curvature bounds?In Section 1, I propose to investigate the (in)compatibility of the geometries of finite metrics, including expander-lik…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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