Multifractal analysis beyond the Markov case

Fractal Geometry and Dynamics

08 November 15:00 - 15:50

Thomas Jordan - University of Bristol

Joint work with Michal Rams. For an expanding Markov interval map and a continuous function the multifractal analysis of Birkhoff averages is well understood. We will look at extending these results to interval maps which may be neither uniformly expanding or Markov. We will look to what extent the results from the Markov case still hold in this setting, in particular the continuity properties of the spectrum. The main tool we will use is the thermodynamic formalism developed for these types of maps by Hofbauer.
Kenneth 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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