Sökning: "finite order invariant"
Visar resultat 1 - 5 av 24 avhandlingar innehållade orden finite order invariant.
1. Deductive Program Analysis with First-Order Theorem Provers
Sammanfattning : Software is ubiquitous in nearly all aspects of human life, including safety-critical activities. It is therefore crucial to analyze programs and provide strong guarantees that they perform as expected. LÄS MER
2. 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
3. Constructions in higher-dimensional Auslander-Reiten theory
Sammanfattning : This thesis consists of an introduction and five research articles about representation theory of algebras.Papers I and II focus on the tensor product of algebras from the point of view of higher-dimensional Auslander-Reiten theory. In Paper I we consider the tensor product Λ of two algebras which are n- respectively m-representation finite. LÄS MER
4. Singular Ginzburg-Landau Vortices
Sammanfattning : In this thesis we study the critical Ginzburg-Landau action, defined on fields in the plane which are allowed to have a finite number of singularities. We show that a topological invariant, the degree, can be defined under the assumption of finite action only. LÄS MER
5. Model reduction for diffusion systems
Sammanfattning : Diffusion phenomena has been studied with a lot of interest, for a long time, due to its historical and practical significance. In the recent days it has thrown a lot of interest among control engineers, as more and more practical systems, varying from stock markets to environmental pollution, have been observed to involve diffusion. LÄS MER