Essays about: "topologiska dimension"

Found 4 essays containing the words topologiska dimension.

  1. 1. An Introduction to Symmetry Protected Topological Phases

    University essay from Uppsala universitet/Teoretisk fysik

    Author : David Petrovic; [2023]
    Keywords : ;

    Abstract : 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. READ MORE

  3. 2. Higher Forms and Dimensional Hierarchy in Topological Condensed Matter

    University essay from KTH/Fysik

    Author : Yashar Honarmandi; [2022]
    Keywords : Theoretical physics; topological quantum matter; parametrized systems; Berry phase; higher Berry curvature; effective field theory; topological action; topological insulators; dimensional hierarchy; Teoretisk fysik; topologisk kvantmateria; parametriserade system; Berryfas; högre Berrykrökning; effektiv fältteori; topologisk verkan; topologiska isolatorer; dimensionshierarki;

    Abstract : 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. READ MORE

  4. 3. Fractal Sets: Dynamical, Dimensional and Topological Properties

    University essay from KTH/Skolan för teknikvetenskap (SCI)

    Author : Nancy Wang; [2018]
    Keywords : logistic function; Cantor set; generalised Cantor Set; fat Cantor set; fractals; fractal dimension; von Koch snowflake; Sierpinski arrowhead curve; Sierpinski carpet; Menger sponge; topological dimension; box dimension; exterior measure; Hausdorff measure; Hausdorff dimension; logistisk funktion; Cantormängd; fet Cantormängd; generaliserade Cantormängd; fraktaler‚; bråktalsdimension; Kochsnöfling; Sierpinskismatta; Sierpinskispilspetskurva; Mengers tvättsvamp; topologiska dimension; lådräkningsdimension; yttre mått; Hausdorffmått; Hausdorffdimension;

    Abstract : 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. READ MORE

  5. 4. An exploration of topological properties of high-frequency one-dimensional financial time series data using TDA

    University essay from KTH/Matematisk statistik

    Author : Patrick Truong; [2017]
    Keywords : ;

    Abstract : 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. READ MORE