Sökning: "topological maps"
Visar resultat 1 - 5 av 21 avhandlingar innehållade orden topological maps.
1. Geometric and Topological Phases with Applications to Quantum Computation
Sammanfattning : Quantum phenomena related to geometric and topological phases are investigated. The first results presented are theoretical extensions of these phases and related effects. Also experimental proposals to measure some of the described effects are outlined. LÄS MER
2. Renormalization of Lorenz Maps
Sammanfattning : This thesis is a study of the renormalization operator on Lorenz αmaps with a critical point. Lorenz maps arise naturally as first-return maps for three-dimensional geometric Lorenz flows. Renormalization is a tool for analyzing the microscopic geometry of dynamical systems undergoing a phase transition. LÄS MER
3. Indoor Navigation for Mobile Robots : Control and Representations
Sammanfattning : This thesis deals with various aspects of indoor navigationfor mobile robots. For a system that moves around in ahousehold or office environment,two major problems must betackled. First, an appropriate control scheme has to bedesigned in order to navigate the platform. Second, the form ofrepresentations of the environment must be chosen. LÄS MER
4. Making Maps and Keeping Logs : Quantum Gravity from Classical Viewpoints
Sammanfattning : This thesis explores three different aspects of quantum gravity. First we study D3-brane black holes in Calabi-Yau compactifications of type IIB string theory. Using the OSV conjecture and a relation between topological strings and matrix models we show that some black holes have a matrix model description. LÄS MER
5. Homotopy Theory and TDA with a View Towards Category Theory
Sammanfattning : This thesis contains three papers. Paper A and Paper B deal with homotopy theory and Paper C deals with Topological Data Analysis. All three papers are written from a categorical point of view.In Paper A we construct categories of short hammocks and show that their weak homotopy type is that of mapping spaces. LÄS MER