Sökning: "laplacian"
Visar resultat 1 - 5 av 34 avhandlingar innehållade ordet laplacian.
1. A Study of Smooth Functions and Differential Equations on Fractals
Sammanfattning : In 1989 Jun Kigami made an analytic construction of a Laplacian on the Sierpiński gasket, a construction that he extended to post critically finite fractals. Since then, this field has evolved into a proper theory of analysis on fractals. The new results obtained in this thesis are all in the setting of Kigami's theory. LÄS MER
2. Selected Topics in Mathematical Modelling: Machine Learning and Tugs-of-War
Sammanfattning : This thesis concerns selected topics in mathematical modelling, namely in machine learning and stochastic games called tugs-of-war. It consists of four scientific articles. The first and second are about machine learning topics, while the third and fourth articles are about tug-of-war games. LÄS MER
3. On path integral localization and the Laplacian
Sammanfattning : In this thesis, we develop path integral localization methods that are familiar from topological field theory: the integral over the infinite dimensional integration domain depends only on local data around some finite dimensional subdomain.We introduce a new localization principle that unifies BRST localization, the non-Abelian localization principle and the conformal generalization of the Duistermaat-Heckman integration formula. LÄS MER
4. Boundary behaviour of eigenfunctions for the hyperbolic Laplacian
Sammanfattning : .... LÄS MER
5. Spectral estimates for the magnetic Schrödinger operator and the Heisenberg Laplacian
Sammanfattning : I denna avhandling, som omfattar fyra forskningsartiklar, betraktas två operatorer inom den matematiska fysiken. De båda tidigare artiklarna innehåller resultat för Schrödingeroperatorn med Aharonov-Bohm-magnetfält. LÄS MER