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Stable Manifold for the Critical Non-Linear Wave Equation: A Fourier Theory Approach

Related publications (31)

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Elsevier2024

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We prove a sharp quantitative version of the Faber–Krahn inequality for the short-time Fourier transform (STFT). To do so, we consider a deficit which measures by how much the STFT of a function fails to be optimally concentrated on an arbitrary set of pos ...

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A Spectral Ansatz for The Long-Time Homogenization of The Wave Equation

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Consider the wave equation with heterogeneous coefficients in the homogenization regime. At large times, the wave interacts in a nontrivial way with the heterogeneities, giving rise to effective dispersive effects. The main achievement of the present wor ...

Ecole Polytechnique2024

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EPFL2024

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EPFL2024

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ELSEVIER SCIENCE INC2023

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Zenodo2023

The diachronic development of Debussy’s musical style: a corpus study with Discrete Fourier Transform

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Claude Debussy’s personal style is typically characterised as a departure from earlier diatonic tonality, including a greater variety of pitch-class materials organised in fragmented yet coherent compositions. Exploiting the music-theoretical interpretabil ...

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American Physical Society2023

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EPFL2023