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"This book is based on a course called 'Fractal Geometry' which has been taught in the School of Mathematics at Georgia Institute of Technology for two years. 'Fractals Everywhere' teaches the tools, methods, and theory of deterministic geometry. Ti is useful for describing spec…
Inleiding op het gebied van deze meetkundige figuren, door de ontdekker
Geometric algebra
by Artin, Emil
fromInterscience tracts in pure and applied mathematics
0
Type: Book
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…
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 …