Colloquium – Detection and characterization of chirps and oscillating singularities in datas: October 31, 2024
October 31, 2024 (Thursday), 4:10 p.m.
Stephane Jaffard- University Paris Est Creteil
Many types of signals display a very oscillatory behavior in the neighborhood of singularities. It is for example the case for gravitational waves, fully developed turbulence, or brain data. A major issue is to detect such behaviors (referred to as “oscillating singularities” or “chirps”) which are the signature of important physical phenomena. We will show how a multivariate multifractal analysis based on wavelet methods allows to meet these challenges.