Description
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.
