Why study multifractal spectra?


Morters, P., 2009. Why study multifractal spectra? In: Blath, J., Morters, P. and Scheutzow, M., eds. Trends in Stochastic Analysis: A Festschrift in Honour of Heinrich v. Weizsäcker.Vol. 353. Cambridge University Press, pp. 99-120. (The London Mathematical Society Lecture Notes Series 353)

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We show by three simple examples how multifractal spectra can enrich our understanding of stochastic processes. The first example concerns the problem of describing the speed of fragmentation in a stick-breaking process, the second concerns the nature of a phase transition in a simple model of statistical mechanics, and the third example discusses the speed of emergence in Kingman’s coalescent.


Item Type Book Sections
CreatorsMorters, P.
EditorsBlath, J., Morters, P. and Scheutzow, M.
DepartmentsFaculty of Science > Mathematical Sciences
Research Centres
Centre for Mathematical Biology
ID Code26626


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