Sökning: "topologiska dimension"
Hittade 4 uppsatser innehållade orden topologiska dimension.
1. An Introduction to Symmetry Protected Topological Phases
Kandidat-uppsats, Uppsala universitet/Teoretisk fysikSammanfattning : In this thesis, we aim to display characteristics of symmetry protected topological phases within quantum mechanics (QM). Building on well known aspects of QM, we relate the formalism to basic group representation theory, and review the connection between projective symmetries and protected vacuum degeneracies. LÄS MER
2. Higher Forms and Dimensional Hierarchy in Topological Condensed Matter
Master-uppsats, KTH/FysikSammanfattning : This report discusses higher differential forms with applications in the study of topological phenomena. The integer quantum Hall effect is first discussed, demonstrating a connection between models on a lattice and quantum field theories bridged by a topological invariant, namely the Chern number. LÄS MER
3. Fractal Sets: Dynamical, Dimensional and Topological Properties
Kandidat-uppsats, KTH/Skolan för teknikvetenskap (SCI)Sammanfattning : Fractals is a relatively new mathematical topic which received thorough treatment only starting with 1960's. Fractals can be observed everywhere in nature and in day-to-day life. To give a few examples, common fractals are the spiral cactus, the romanesco broccoli, human brain and the outline of the Swedish map. LÄS MER
4. An exploration of topological properties of high-frequency one-dimensional financial time series data using TDA
Master-uppsats, KTH/Matematisk statistikSammanfattning : Topological data analysis has been shown to provide novel insight in many natural sciences. To our knowledge, the area is however relatively unstudied on financial data. This thesis explores the use of topological data analysis on one dimensional financial time series. LÄS MER