Search for dissertations about: "Iterated Function Systems"

Showing result 1 - 5 of 8 swedish dissertations containing the words Iterated Function Systems.

2. 1. Stable iterated function systems

   Author : Erland Gadde; Hans Wallin; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Hausdorff metric; iterated function system IFS ; attractor; invariant set; address; Hutchinson’s metric; we a k* -topology; IFS with probabilities; invariant measure; the Random Iteration Algorithm;

   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

4. 2. Characterisations of function spaces on fractals

   Author : Mats Bodin; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; function spaces; wavelets; bases; fractals; triangulations; iterated function systems; MATHEMATICS; MATEMATIK;

   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

5. 3. Fixed points, fractals, iterated function systems and generalized support vector machines

   Author : Xiaomin Qi; Sergei Silvestrov; Anatoliy Malyarenko; Daniel Andren; Viktor Abramov; Mälardalens högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; support vector machine; fixed points; iterated function system; variational inequality; Mathematics Applied Mathematics; matematik tillämpad matematik;

   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

6. 4. Approximation of pluricomplex Green functions : A probabilistic approach

   Author : Azza Alghamdi; Maciej Klimek; Kaj Nyström; Anna Zdunik; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; pluricomplex Green function; pluriregular sets; Bernstein-Markov property; Bergman function; nearly orthonormal polynomials; orthogonal polynomials; Monte Carlo simulation; composite Julia sets; Julia sets; iterated function systems; the chaos game.;

   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

7. 5. Random iteration of isometries

   Author : Markus Ådahl; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; iterated function system; isometry; central limit theorem; weak invariance principle; law of the iterated logarithm; random walk; MATEMATIK; MATHEMATICS; MATEMATIK; Mathematics; matematik;

   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