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.
Results
Showing 1 to 20 of 73 for “"Cantor"”.
-
Continued Radicals and Cantor Sets
… formation of sets homeomorphic to the ternary Cantor set by continued radicals. We determine properties of bridges and gaps and calculate the thickness of the Cantor set. From this we apply information from continued fractions to continued radicals to obtain new results. We also consider the …
-
Optimale Quantisierung verallgemeinerter Cantor-Verteilungen
Für verallgemeinerte Cantor-Verteilungen, die im Eindimensionalen mittels klassischer Wischkonstruktion bzw. in höheren Dimensionen über iterierte Funktionensysteme definiert werden, wird das Problem der optimalen Quantisierung unter bestimmten Voraussetzungen vollständig gelöst. Es werden die …
-
Cantor Minimal Systems and Dimension Groups
… orbit equivalence of minimal Z^d-actions on a Cantor set. The range of such dimension groups for d>1 is still an open question. It appears as if symbolic dynamical systems may be a fruitful approach to this question. In this work, the relationship is explored between Cantor minimal systems, …
-
The noncommutative geometry of ultrametric cantor sets
… of a manifold is created for an ultrametric Cantor set using the techniques of Noncommutative Geometry. In particular, a spectral triple is created that can recover much of the fractal geometry of the original Cantor set. It is shown that this spectral triple can recover the metric, the upper …
-
Strange Attractors of Uniform Flows (Cantor Set, Solenoid)
… of an orbitally stable attractor is a Cantor set, then first return map is found to be conjugate to an irrational rotation on a certain compact abelian group. New examples are constructed of orbitally stable attractors of uniform C('(INFIN)) flows whose cross-sections have uncountably …
-
Geometry of Fractal Squares
This paper will examine analogues of Cantor sets, called fractal squares, and some of the geometric ways in which fractal squares raise issues not raised by Cantor sets. Also discussed will be a technique using directed graphs to prove bilipschitz equivalence of two fractal squares.
-
Strong Orbit Equivalence and Residuality
… consider notions of equivalence between minimal Cantor systems, in particular strong orbit equivalence. By constructing the systems, we show that there exist two nonisomorphic substitution systems that are both Kakutani equivalent and strongly orbit equivalent. We go on to define a metric on a …
-
From canter to cantor: Negotiating constraints, and the perceptions of elitism in serious leisure pursuits : The experiences of a high performing athlete and artist
Everyone experiences leisure differently but, for people who excel in a chosen field, a hobby can become a serious goal-oriented leisure pursuit. Many talented people, however, fail to reach their leisure goals due to constraints. This study explored individual life experiences of serious leisure …
-
Dynamics of Cubic Rational Maps Under Certain Constraints on Critical Points
… maps; that is, they are either connected or a Cantor set. In contrast to the quadratic case, the Julia sets of rational maps of of degree ≥ 3 have more variations. In this project, we study the Julia sets of cubic rational maps under some constraints. We first extend the Julia set dichotomy to …
-
O eu e o outro : Dr. Jekyll vs Mr. Hyde : David Bowie vs Ziggy Stardust
… alter-ego Ziggy Stardust. O caminho traçado pelo cantor nesta fase da sua carreira artística pode ser comparado com o de Dr. Jekyll, personagem principal da obra literária de Robert Louis Stevenson, The Strange Case of Dr. Jekyll and Mr. Hyde. O médico e o cantor desenvolveram alter-egos que, numa …
-
General Factoring Algorithms for Polynomials over Finite Fields
… and one probabilistic algorithm due to David Cantor and Hans Zassenhaus. While some authors present versions of the algorithms that can only factor polynomials of a certain form, the algorithms we give are able to factor any polynomial over any finite field. Hence, the algorithms we give are …
-
The diffraction of monsters from complex apertures
… a multi-scale character, such as a pre-fractal Cantor set (that is, a diffraction grating modelled onany finite iteration of the Cantor set). Previous related studies have been concerned predominantly with regimes wherein the outgoing waves are observed in the far field (that is, at large …
-
Dynamics of Polish groups
… show that the group of all homeomorphisms of the Cantor set H(2^N) has ample generics, that is, we show that for every m the diagonal conjugacy action g\cdot (h_1, h_2,...,h_m) = (gh_1g^{-1}, gh_2g^{-1},..., gh_mg^{-1}) of H(2^N) on H(2^N)^m has a comeager orbit. This answers a question of Kechris …
-
Novel ultrasonic transducers and array designs using self-similar fractal geometries
… Sierpinski Gasket, Sierpinski Carpet, Cantor Set and Cantor Tartan. The fractal composite devices were realised as either 1-3 connectivity or 2-2 connectivity configurations and compared with their corresponding equivalent conventional composite counterpart. Finite element modelling was …
-
Metric entropies of various function spaces
… 2, and spaces of smooth functions on certain Cantor-like subsets of (0, 1).
-
Computability and Fractal Dimension
… first realized by Lutz (2000). Working in the Cantor space of all infinite binary sequences, we study the theory of Hausdorff and other dimensions for individual sequences. After giving an overview over the classical theory of fractal dimension in Cantor space, we develop the theory of …
-
Continued Radicals
… be (a) an interval, and (b) homeomorphic to the Cantor set.
Page 1 of 4