Search for dissertations about: "Iterated Function Systems"
Showing result 1 - 5 of 8 swedish dissertations containing the words Iterated Function Systems.
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1. Stable iterated function systems
Abstract : The purpose of this thesis is to generalize the growing theory of iterated function systems (IFSs). Earlier, hyperbolic IFSs with finitely many functions have been studied extensively. Also, hyperbolic IFSs with infinitely many functions have been studied. In this thesis, more general IFSs are studied. READ MORE
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2. Characterisations of function spaces on fractals
Abstract : This thesis consists of three papers, all of them on the topic of function spaces on fractals.The papers summarised in this thesis are:Paper I Mats Bodin, Wavelets and function spaces on Mauldin-Williams fractals, Research Report in Mathematics No. 7, Umeå University, 2005. READ MORE
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3. Fixed points, fractals, iterated function systems and generalized support vector machines
Abstract : In this thesis, fixed point theory is used to construct a fractal type sets and to solve data classification problem. Fixed point method, which is a beautiful mixture of analysis, topology, and geometry has been revealed as a very powerful and important tool in the study of nonlinear phenomena. READ MORE
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4. Approximation of pluricomplex Green functions : A probabilistic approach
Abstract : This PhD thesis focuses on probabilistic methods of approximation of pluricomplex Green functions and is based on four papers.The thesis begins with a general introduction to the use of pluricomplex Green functions in multidimensional complex analysis and a review of their main properties. READ MORE
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5. Random iteration of isometries
Abstract : This thesis consists of four papers, all concerning random iteration of isometries. The papers are:I. Ambroladze A, Ådahl M, Random iteration of isometries in unbounded metric spaces. Nonlinearity 16 (2003) 1107-1117. READ MORE