Discrete-time topological dynamics, complex Hadamard matrices, and oblique-incidence ion bombardment
The topics covered in this dissertation are not unified under a single mathematical discipline. However, the questions posed and the partial solutions to problems of interest were heavily influenced by ideas from dynamical systems, mathematical experimentation, and simulation. Thus, the chapters in this document are unified by a common flavor which bridges several mathematical and scientific disciplines. The first chapter introduces a new notion of orbit density applicable to discrete-time dynamical systems on a topological phase space, called the linear limit density of an orbit. For a fixed ...
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