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Level: MSci, MSc
Title: Multifractals
Supervisor:

Prof. Christian Beck
Research Area: Dynamical Systems and Statistical Physics
Description:

For fractal systems there is not only a single fractal dimension but an entire set of dimension functions, the Renyi dimensions. These can be used to characterize fractals in a more general way, given a probability measure on the fractal support. One often speaks of 'multifractals' in this context. The project is to review these concepts, and calculate examples of the dimension spectrum for some simple example systems.
Further Reading:
  • C. Beck, F. Schloegl, Thermodynamics of chaotic systems. Cambridge Univ. Press, 1993.
Key Modules:

MTH6107 Chaos and Fractals

 
Other Information:
Current Availability: Yes