Fractals

Türkiye’den Sedad Hakkı Eldem ve Hindistan’dan Balkrishna Vithaldas Doshi, ülkelerindeki çağdaş mimarlık tarihinin en etkili mimarlarından sayılmaktadır. Bu iki mimar, bölgesel (regional) mimariyi kendi modern mimarilerini formüle etmek için ilham kaynağı olarak almıştır ve yeni…

In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained. Firstly, starting with Connes' spectral triple for a non-empty compact totally disconnected subset E of {R} with no isolate…

In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number of notions from fractal geometry, in particular, dimensions, measure properties and iterated functions systems. We give a review of existing work on self-affine sets. We then devel…

This thesis concerns an active research area within fractal geometry. In the first part, in Chapters 2 and 3, for directed graph iterated function systems (IFSs) defined on ℝ, we prove that a class of 2-vertex directed graph IFSs have attractors that cannot be the attractors of …