Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 7 of 7 for “"Topological dynamics"”.
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Topological Dynamics On Compact Phase Spaces
… from the fact that the dynamical and many topological properties of $S$ can be translated into properties of its compactification. In Chapter one we will present a brief summary of notations and basic results from topological algebra as well as some basic information on the Stone-\v{C}ech …
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Topological Dynamics of Automorphism Groups of omega-homogeneous Structures via Near Ultrafilters
… spaces and the problem of unique amenability of topological groups. The theory combines tools from set theory, model theory, Ramsey theory, topological dynamics and ergodic theory, and homogeneous structures.
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Dynamical Systems and Matching Symmetry in Beta-Expansions
<p>Symbolic dynamics, and in particular β-expansions, are a ubiquitous tool in studying more complicated dynamical systems. Applications include number theory, fractals, information theory, and data storage.</p> <p>In this thesis we will explore the basics of dynamical systems with a special focus …
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Cantor Minimal Systems and Dimension Groups
… in physical systems. Consequently, traditional dynamics is viewed through the lens of differential and difference equations using notions such as state space, trajectory and attractors. Topological dynamics is a generalization and abstraction of these concepts in the context of topological …
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Coloring problems in combinatorics and descriptive set theory
… of descriptive set theory, with applications to topological dynamics and ergodic theory. This work consists of two parts, each of which is in turn split into a number of chapters. Although the individual chapters are largely independent from each other (with the exception of Chapters 4 and 6, …
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Uniformly rigid homeomorphisms
… mixing. We are particularly interested in the topological analogue of rigidity, called uniform rigidity. A map $T$ defined on a topological space $X$ is called \textit{uniformly rigid} if there exists an increasing sequence of natural numbers $\left( n_m\right)$ such that $\left( …
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Two topics in particle accelerator beams: Vlasov-Maxwell treatment of coherent synchrotron radiation and topological treatment of spin polarization
… part I present results from my studies of the dynamics of spin polarized beams. Here the emphasis is on improvements of the theoretical basis of beam simulations by using topological methods.