Daniel Eceizabarrena
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Daniel Eceizabarrena has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Alexandre Boritchev
CNRS UMR 5208, Institut Camille Jordan, University of Lyon, Villeurbanne Cedex, France
1 shared publication - Victor Vilaça da Rocha1 shared publication
Latest Publications
- Open Access
Intermittency of Riemann's non-differentiable function through the fourth-order flatness
Riemann's non-differentiable function is one of the most famous examples of continuous but nowhere differentiable functions, but it has also been shown to be relevant from a physical point of view. Indeed, it satisfies the Frisch-Parisi multifractal formalism, which establishes a relationship with turbulence and implies some intermittent nature. It also plays a surprising role as a physical trajectory in the evolution of regular polygonal vortices that follow the binormal flow. With this motivation, we focus on one more classic tool to measure intermittency, namely the fourth-order flatness, and we refine the results that can be deduced from the multifractal analysis to show that it diverges logarithmically. We approach the problem in two ways: with structure functions in the physical space and with high-pass filters in the Fourier space.
Open AccessIntermittency of Riemann's non-differentiable function through the fourth-order flatness
Riemann's non-differentiable function is one of the most famous examples of continuous but nowhere differentiable functions, but it has also been shown to be relevant from a physical point of view. Indeed, it satisfies the Frisch-Parisi multifractal formalism, which establishes a relationship with turbulence and implies some intermittent nature. It also plays a surprising role as a physical trajectory in the evolution of regular polygonal vortices that follow the binormal flow. With this motivation, we focus on one more classic tool to measure intermittency, namely the fourth-order flatness, and we refine the results that can be deduced from the multifractal analysis to show that it diverges logarithmically. We approach the problem in two ways: with structure functions in the physical space and with high-pass filters in the Fourier space.