Essays about: "Hausdorff dimension"
Showing result 1 - 5 of 6 essays containing the words Hausdorff dimension.
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1. A geometric approach to calculating the limit set of eigenvalues for banded Toeplitz matrices
University essay from Lunds universitet/Matematik LTHAbstract : This thesis is about the limiting eigenvalue distribution of n × n Toeplitz matrices as n → ∞. The two classical questions we want to answer are: what is the limit set of the eigenvalues, and what is the limiting distribution of the eigenvalues. Our main result is a new approach to calculate the limit set Λ(b) for a Laurent polynomial b, i.e. READ MORE
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2. Fractal Sets: Dynamical, Dimensional and Topological Properties
University essay from KTH/Skolan för teknikvetenskap (SCI)Abstract : Fractals is a relatively new mathematical topic which received thorough treatment only starting with 1960's. Fractals can be observed everywhere in nature and in day-to-day life. To give a few examples, common fractals are the spiral cactus, the romanesco broccoli, human brain and the outline of the Swedish map. READ MORE
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3. Worm simulation of Hausdorff dimension of critical loop fluctuations
University essay from KTH/FysikAbstract : .... READ MORE
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4. Lebesgue points, Hölder continuity and Sobolev functions
University essay from Matematiska institutionenAbstract : This paper deals with Lebesgue points and studies properties of the set of Lebesgue points for various classes of functions. We consider continuous functions, L1 functions and Sobolev functions. In the case of uniformly continuous functions and Hölder continuous functions we develop a characterization in terms of Lebesgue points. READ MORE
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5. Fractal Geometry, Graph and Tree Constructions
University essay from Institutionen för matematik och matematisk statistikAbstract : In the 18th and 19th centuries the branch of mathematics that would later be known as fractal geometry was developed. It was the ideas of Benoˆıt Mandelbrot that made the area expand so rapidly as it has done recently, and since the publication of his works there have for fractals, and most commonly the estimation of the fractal dimension, been found uses in the most diverse applications. READ MORE