In this thesis we provide a detailed analysis of the power penalty method for American options using the theory of viscosity solutions. The method is a recent improvement of the classical penalty method, and in the thesis ...

It is an open problem whether the isomorphism class of a finite p-group is determined by its group ring over a field of characteristic p. In this thesis we present the theory of Jennings, which gives invariants of the group ...

I will try to define a non-trivial stochastic process on the Sierpinski gasket by looking at the limit of stochastic processes on approximating graphs of cells of the Sierpinski gasket. I start by looking more closely on ...

In this paper we will prove Clifford chain theorem for general lines in the plane by using real cross ratio lemma. We will then discuss the Clifford chain theorem for degenerate lines and will obtain 6 types of Clifford ...

A study of the action propagation in excitable cardiac cells. In this thesis we look at different mathematical models for simulating the biophysiological phenomena of wave propagation and fibrillation. Furthermore, we ...