Wavelet methods for the multifractal analysis of random signals and fields
Cancelled
Event details
| Date | 04.09.2014 |
| Hour | 14:00 |
| Speaker | Prof. Stéphane Jaffard, Université Paris-Est Créteil |
| Location | |
| Category | Conferences - Seminars |
Multifractal analysis was introduced by physicists with the purpose of using global regularity indices in order to study the intimate structure of fully developed turbulence. A later motivation was to explain the results observed as the signature of the presence of pointwise singularities of different "strengths'" in the data.
The heuristic arguments relating global and pointwise regularity which were introduced for that purpose proved extremely powerful inside mathematics, supplying unifying concepts with a surprisingly wide range of applications: Large classes of functions arising in harmonic analysis, or stochastic processes have been revisited using this approach, and were shown to display fractal sets of singularities of varying fractal dimensions.
Bio: Since September 1995: Professor at UPEC University (Paris-Est Créteil Val de Marne)
June 2007 - June 2010: President of the French Mathematical Society (SMF)
2000-2005: Member of IUF (Institut Universitaire de France)
1992-1994: Head of the CERMA laboratory (Centre d'Enseignement et de Recherche en Mathématiques Appliquées) of ENPC (École Nationale des Ponts et Chaussées)
1992: Defense of Habilitation
1990-1992: Full time researcher at École Nationale des Ponts et Chaussées
1989-1990: Member of the Institute for Advanced Study (Princeton)
1986-1989: PhD at École Polytechnique: "Construction and properties of wavelet bases, remarks on exact controlability"
The heuristic arguments relating global and pointwise regularity which were introduced for that purpose proved extremely powerful inside mathematics, supplying unifying concepts with a surprisingly wide range of applications: Large classes of functions arising in harmonic analysis, or stochastic processes have been revisited using this approach, and were shown to display fractal sets of singularities of varying fractal dimensions.
Bio: Since September 1995: Professor at UPEC University (Paris-Est Créteil Val de Marne)
June 2007 - June 2010: President of the French Mathematical Society (SMF)
2000-2005: Member of IUF (Institut Universitaire de France)
1992-1994: Head of the CERMA laboratory (Centre d'Enseignement et de Recherche en Mathématiques Appliquées) of ENPC (École Nationale des Ponts et Chaussées)
1992: Defense of Habilitation
1990-1992: Full time researcher at École Nationale des Ponts et Chaussées
1989-1990: Member of the Institute for Advanced Study (Princeton)
1986-1989: PhD at École Polytechnique: "Construction and properties of wavelet bases, remarks on exact controlability"
Practical information
- General public
- Free
Organizer
- Fageot Julien <[email protected]>
Contact
- Fageot Julien <[email protected]>