CORDIS Project
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This project investigates the Fourier transform of fractal measures generated by non-linear dynamics across various dimensions. It aims to develop a comprehensive theory that characterizes Fourier decay rates, with applications in harmonic analysis and Diophantine approximation.
This MSCA project studies the Fourier transform of dynamically defined fractal measures.
Determining whether the Fourier transform decays to zero, and if so then at what rate, provides important information about the measure.
There has been an explosion of interest in this topic in the past few years, spurred by a wealth of applications:
Fourier decay is connected to a wide range of problems from harmonic analysis, Diophantine approximation, additive combinatorics, and quantum chaos.
Up to now,…
JYVASKYLAN YLIOPISTO
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