Jumping numbers of a simple complete ideal in a two-dimensional regular local ring

The multiplier ideals of an ideal in a regular local ring form a family of ideals parametrized by non-negative rational numbers. As the rational number increases the corresponding multiplier ideal remains unchanged until at some point it gets strictly smaller. A rational number where this kind of diminishing occurs is called a jumping number of the ideal. In this manuscript we shall give an explicit formula for the jumping numbers of a simple complete ideal in a two dimensional regular local ring. In particular, we obtain a formula for the jumping numbers of an analytically irreducible plane curve. We then show that the jumping numbers determine the equisingularity class of the curve.

Heavy-light mesons on a lattice

Several excited states of Ds and Bs mesons have been discovered in the last six years: BaBar, Cleo and Belle discovered the very narrow states D(s0)*(2317)+- and D(s1)(2460)+- in 2003, and CDF and DO Collaborations reported the observation of two narrow Bs resonances, B(s1)(5830)0 and B*(s2)(5840)0 in 2007. To keep up with experiment, meson excited states should be studied from the theoretical aspect as well. The theory that describes the interaction between quarks and gluons is quantum chromodynamics (QCD). In this thesis the properties of the meson states are studied using the discretized version of the theory - lattice QCD. This allows us to perform QCD calculations from first principles, and "measure" not just energies but also the radial distributions of the states on the lattice. This gives valuable theoretical information on the excited states, as we can extract the energy spectrum of a static-light meson up to D wave states (states with orbital angular momentum L=2). We are thus able to predict where some of the excited meson states should lie. We also pay special attention to the order of the states, to detect possible inverted spin multiplets in the meson spectrum, as predicted by H. Schnitzer in 1978. This inversion is connected to the confining potential of the strong interaction. The lattice simulations can also help us understand the strong interaction better, as the lattice data can be treated as "experimental" data and used in testing potential models. In this thesis an attempt is made to explain the energies and radial distributions in terms of a potential model based on a one-body Dirac equation. The aim is to get more information about the nature of the confining potential, as well as to test how well the one-gluon exchange potential explains the short range part of the interaction.

Lattice density-functional theory on graphene

A density-functional approach on the hexagonal graphene lattice is developed using an exact numerical solution to the Hubbard model as the reference system. Both nearest-neighbour and up to third nearest-neighbour hoppings are considered and exchange-correlation potentials within the local density approximation are parameterized for both variants. The method is used to calculate the ground-state energy and density of graphene flakes and infinite graphene sheet. The results are found to agree with exact diagonalization for small systems, also if local impurities are present. In addition, correct ground-state spin is found in the case of large triangular and bowtie flakes out of the scope of exact diagonalization methods.

“And now to the rest of the trash…” Representations of begging Roma and an ideal society in two Nordic newspapers

Since begging East European Roma became a common view in the streets of larger Nordic cities, vivid discussions about their presence and activities have been carried out in the mass media. This thesis examines the public debates in Finland and Norway through a discursive analysis and comparison of press content from the two countries. The aim of the study is firstly to identify the prominent discourses which construct certain images of the beggars, as well as the elements and internal logics that these discourses are constructed around. But in addition to scrutinizing representations of the Roma, also an opposite perspective is applied. In accordance with the theoretical concept of ‘othering’, debates about ‘them’ are assumed to simultaneously reveal something significant about ‘us’. The second research question is thus what kind of images of the ideal Finnish and Norwegian societies are reflected in the data, and which societal values are salient in these images. The analysis comprises 79 texts printed in the main Finnish and Norwegian quality newspapers; Helsingin Sanomat and Aftenposten. The data consists of news articles, editorials, columns and letters to the editor from a three-month period in the summer of 2010. The analysis was carried out within the theoretical and methodological framework of critical discourse analysis as outlined by Norman Fairclough. A customized nine-step coding scheme was developed in order to reach the most central dimensions of the texts. Seven main discourses were identified; the Deprivation-solidarity, Human rights, Order, Crime, Space and majority reactions, Authority control, and Authority critique discourse. These were grouped into two competing normative stances on what an ideal society looks like; the exclusionary and the inclusionary stance. While the exclusionary stance places the begging Roma within a frame of crime, illegitimate use of public space and threat to the social order, the other advocates an attitude of solidarity and humanitarian values. The analysis points to a dominance of the former, although it is challenged by the latter. The Roma are “individualized” by quoting and/or presenting them by name in a fair part of the Finnish news articles. In Norway, the opposite is true; there the beggars are dominantly presented as anonymous and passive. Overall, the begging Roma are subjected to a double bind as they are faced with simultaneous expectations of activity and passivity. Theories relating to moral panics and ‘the good enemy’ provide for a deepened understanding of the intensity of the debates. Keywords: East European Roma, begging, media, newspapers, Helsingin Sanomat, Aftenposten, critical discourse analysis, Norman Fairclough, othering, ideal society, moral panics, good enemy, double bind, Finland, Norway