Jul 6 – 8, 2022
Institut de Mathématiques de Bordeaux
Europe/Paris timezone

Luz Roncal: Wavelet analysis and the Frisch--Parisi formalism for the Schrödinger equation.

Jul 8, 2022, 9:00 AM
Salle de Conférences (Institut de Mathématiques de Bordeaux)

Salle de Conférences

Institut de Mathématiques de Bordeaux

351 cours de la libération 33400 TALENCE


We consider the solution of the Schrödinger equation when the initial datum tends to the Dirac comb. It is known that the fluctuations associated to this equation can be expressed via a simplification of the Riemann non-differentiable function. We prove, using wavelet analysis, that the Frisch--Parisi multifractal formalism holds in this context.

Joint work with Sandeep Kumar, Felipe Ponce-Vanegas, and Luis Vega.

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