CORDIS Project
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This project investigates fundamental questions in geometric analysis using techniques from harmonic analysis and geometric measure theory. It focuses on harmonic and caloric measures, rectifiability, and free boundary problems, aiming to establish new bounds and understand connections in these mathematical areas.
This project aims to solve several long standing questions in geometric analysis by combining techniques from harmonic analysis, geometric measure theory, and free boundary problems.
These questions deal with harmonic measure and caloric measure, square functions and rectifiability, and some related free boundary problems. A common feature is that their study involves multiscale methods from Littlewood-Paley theory and quantitative rectifiability.
Harmonic measure is a basic tool for the solutio…
UNIVERSITAT AUTONOMA DE BARCELONA
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