Seminar

New directions in multifractal analysis

Fractal Geometry and Dynamics

25 October 14:00 - 14:50

Stéphane Jaffard - Université Paris-Est Créteil Val-de-Marne

Multifractal analysis deals with the estimation of the Haudroff dimensions of the sets of points where the pointwise regularity exponent of a function (or a measure) takes a given value. It has both theoretical aspects (the determination of this ``multifractal spectra'' (in deterministic or random settings) having lead to new techniques for computing Hausdorff dimensions) and applied aspects, through the ``multifractal formalism'' which yields an estimate of the multifractal spectrum via quantities which are effectiveley computable for real-life data, and lead to signal or image classification tools. We will show how this subject has recently evolved through the introduction of new regularity exponents and ``second generation exponents'' which give a finer description of the behavior of the function near a singularity.
Organizers
Kenneth J. Falconer
University of St Andrews
Maarit Järvenpää
University of Oulu
Antti Kupiainen
University of Helsinki
Francois Ledrappier
University of Notre Dame
Pertti Mattila
University of Helsinki

Program
Contact

Maarit Järvenpää

maarit.jarvenpaa@oulu.fi

Other
information

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