Multifractal properties of typical convex functions

Fractal Geometry and Dynamics

19 October 14:00 - 14:50

Zoltan Buczolich - Eötvös Loránd University

With J. Nagy and S. Seuret we have studied multifractal properties of the Hölder spectrum of several different typical/generic (in the sense of Baire) objects: monotone functions, measures, continuous monotone increasing in several variables (MISV) functions. In this talk I will focus on the two most recent developments concerning multifractal Hölder spectrum of convex hulls of typical continuous functions and of typical convex functions defined on the d-dimensional closed unit cube.
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


Maarit Järvenpää


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