témavezető: Bárány Balázs
helyszín (magyar oldal): Department of Stochastics helyszín rövidítés: BME
A kutatási téma leírása:
Benoit Mandelbrot described the fractal sets as "irregular and fragmented patterns around us". Such fractal sets can be constructed using iterated function systems. The main purpose of the project is to study the geometric properties of the attractors of IFSs consisting of non-conformal mappings, like Hausdorff- and Tricot-dimension and measure, the dimension of shrinking target subsets, and multifractal analysis.
The task of the PhD student is first to get a deep understanding of the existing results of the field and then make significant progress. The prospective student will be part of our very strong Dynamical Systems research group.
előírt nyelvtudás: angol további elvárások: ergodic theory, measure theory, probability theory
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