Distortion of Dimension under Quasiconformal Mappings

Quasiconformal mappings are natural generalizations of conformal mappings. They are homeomorphisms with 'bounded distortion' of which there exist several approaches. In this work we study dimension distortion properties of quasiconformal mappings both in the plane and in higher dimensional Euclidean setting. The thesis consists of a summary and three research articles. A basic property of quasiconformal mappings is the local Hölder continuity. It has long been conjectured that this regularity holds at the Sobolev level (Gehring's higher integrabilty conjecture). Optimal regularity would also provide sharp bounds for the distortion of Hausdorff dimension. The higher integrability conjecture was solved in the plane by Astala in 1994 and it is still open in higher dimensions. Thus in the plane we have a precise description how Hausdorff dimension changes under quasiconformal deformations for general sets. The first two articles contribute to two remaining issues in the planar theory. The first one concerns distortion of more special sets, for rectifiable sets we expect improved bounds to hold. The second issue consists of understanding distortion of dimension on a finer level, namely on the level of Hausdorff measures. In the third article we study flatness properties of quasiconformal images of spheres in a quantitative way. These also lead to nontrivial bounds for their Hausdorff dimension even in the n-dimensional case.

Untersuchungen zur Fachsprache der Ökologie und des Umweltschutzes im Deutschen und Finnischen : Bezeichnungsvarianten unter einem geschichtlichen, lexikographischen, morphologischen und linguistisch-pragmatischen Aspekt

The work integrates research in the language and terminology of various fields with lexicography, etymology, semantics, word formation, and pragmatics. Additionally, examination of German and Finnish provides the work with perspective of contrastive linguistics and the translation of texts in specialized fields. The work is an attempt to chart the language, vocabulary, different textual types, and essential communication-connected features of this special field. The study is primary concerned with internal communication within the field of ecology, but it also provides a comparison of the public discussion of environmental issues in Germany and Finland. The work attempts to use textual signs to provide a picture of the literary communication used on the different vertical levels in the central text types within the field. The dictionaries in the fields of environmental issues and ecology for the individual text types are examined primarily from the perspective of their quantity and diversity. One central point of the work is to clarify and collect all of the dictionaries in the field that have been compiled thus far in which German and/or Finnish ware included. Ecology and environmental protection are closely linked not only to each other but also to many other scientific fields. Consequently, the language of the environmental field has acquired an abundance of influences and vocabulary from the language of the special fields close to it as well as from that of politics and various areas of public administration. The work also demonstrates how the popularization of environmental terminology often leads to semantic distortion. Traditionally, scientific texts have used the smallest number of expressions, the purpose of which is to appeal to or influence the behavior of the text recipient. Particularly in Germany, those who support or oppose measures to protect the environment have long been making concerted efforts to represent their own views in the language that they use. When discussing controversial issues competing designations for the same referent or concept are used in accordance with the interest group to which the speaker belongs. One of the objectives of the study is to sensitize recipients of texts to notice the euphemistic expressions that occur in German and Finnish texts dealing with issues that are sensitive from the standpoint of environmental policy. One particular feature of the field is the wealth and large number of variants designating the same entry or concept. The terminological doublets formed by words of foreign origin and their German or Finnish language equivalents are quite typical of the field. Methods of corpus linguistics are used to determine the reasons for the large number of variant designations as well as their functionality.

Theory and Analysis of Classic Heavy Metal Harmony

This thesis explores melodic and harmonic features of heavy metal, and while doing so, explores various methods of music analysis; their applicability and limitations regarding the study of heavy metal music. The study is built on three general hypotheses according to which 1) acoustic characteristics play a significant role for chord constructing in heavy metal, 2) heavy metal has strong ties and similarities with other Western musical styles, and 3) theories and analytical methods of Western art music may be applied to heavy metal. It seems evident that in heavy metal some chord structures appear far more frequently than others. It is suggested here that the fundamental reason for this is the use of guitar distortion effect. Subsequently, theories as to how and under what principles heavy metal is constructed need to be put under discussion; analytical models regarding the classification of consonance and dissonance and chord categorization are here revised to meet the common practices of this music. It is evident that heavy metal is not an isolated style of music; it is seen here as a cultural fusion of various musical styles. Moreover, it is suggested that the theoretical background to the construction of Western music and its analysis can offer invaluable insights to heavy metal. However, the analytical methods need to be reformed to some extent to meet the characteristics of the music. This reformation includes an accommodation of linear and functional theories that has been found rather rarely in music theory and musicology.

Groteski suomalaisessa kirjallisuudessa : Neljä tapaustutkimusta

The grotesque in Finnish literature. Four case studies The topic of the dissertation is the grotesque in Finnish literature. The dissertation is twofold. Firstly, it focuses on the genre tradition of the grotesque, especially its other main branch, which has been named, following in Bakhtin s footsteps, subjective ( chamber ) grotesque, to be distinguished from carnivalistic ( public square ) grotesque. Secondly, the dissertation analyses and interprets four fictional literary works within the context of the grotesque genre, constructed on the basis of previous research and literature. These works are the novel Rakastunut rampa (1922) by Joel Lehtonen, the novel Prins Efflam (1953, transl. into Finnish as Kalastajakylän prinssi) by Sally Salminen, the short story Orjien kasvattaja (1965) by Juhani Peltonen, and the novel Veljeni Sebastian (1985) by Annika Idström. What connects these stirring novels, representing early or full modernism, is the supposition that they belong to the tradition of the subjective grotesque, not only due to occasional details, but also in a more comprehensive manner. The premises are that genre is a significant part of the work and that reading a novel in the context of the genre tradition adds something essential to the interpretation of individual texts and reveals meanings that might otherwise go unnoticed. The main characteristic of the grotesque is breaking the norm. This is accomplished through different means: degradation, distortion, inversion, combination, exaggeration and multiplication. The most significant strategy for breaking the norm is incongruence: the grotesque combines conflicting or mutually exclusive categories and elements on different levels. Simultaneously, the grotesque unravels categorisations and questions our way of perceiving the world. The grotesque not only poses a threat to one s identity, but can also pose a threat to the cognitive process. An analysis of the fictional works is presented as case studies of each chosen work as a whole. The analysis is based on the method of close reading, which draws on both classical and postclassical narratology, and the analysis and interpretation are expanded within the genre tradition of the grotesque. The grotesque is also analysed in terms of its relationship to the neighbouring categories and genre traditions, such as the tragic, the sublime, the horror story and the coming-of-age story. This dissertation shows how the grotesque is constructed repeatedly on deviations from the norm as well as on incongruence, also in the works analysed, and how it stratifies in these novels on and between different levels, such as the story, text, narration, composition and the world of the novels. In all the works analysed, the grotesque reduces and subverts. Again and again it reveals different sides of humanity stripped of idealisation and glorification. The dissertation reveals that Finnish literature is not a solitary island, even regarding the grotesque, for it continues and offers variations of the common tradition of grotesque literature, and likewise draws on grotesque visual arts. This dissertation is the first monograph in Finnish literature research focusing on the subjective grotesque.

Essays on Economic Integration and Labour Demand

This dissertation consists of an introductory section and three essays investigating the effects of economic integration on labour demand by using theoretical models and by empirical analysis. The essays adopt an intra-industry trade approach to specify a theoretical framework of estimation for determining the effects of economic integration on employment. In all the essays the empirical aim is to explore the labour demand consequences of European integration. The first essay analyzes how labour-demand elasticities with own price have changed during the process of economic integration. As a theoretical result, intensified trade competition increases labour-demand elasticity, whereas better advantage of economies of scale decreases labour-demand elasticity by decreasing the elasticity of substitution between differentiated products. Furthermore, if integration gives rise to an increase in input-substitutability and/or outsourcing activities, labour demand will become more elastic. Using data from the manufacturing sector from 1975 to 2002, the empirical results provide support for the hypothesis that European integration has contributed to increased elasticities of total labour demand in Finland. The second essay analyzes how economic integration affects the impact of welfare poli-cies on employment. The essay considers the viability of financing the public sector, i.e. public consumption and social security expenses, by general labour taxation in an economy which has become more integrated into international product markets. The theoretical results of the second essay indicate that, as increased trade competition crowds out better economies of scale, it becomes more costly to maintain welfare systems financed by labour taxation. Using data from European countries for the years 1975 to 2004, the empirical results provide inconsistent evidence for the hypothesis that economic integration has contributed to the distortion effects of welfare policies on employment. The third essay analyzes the impact of profit sharing on employment as a way to introduce wage flexibility into the process of economic integration. The results of the essay suggest that, in theory, the effects of economic integration on the impact of profit sharing on employment clearly depend on a trade-off between intensified competition and better advantage of economies of scale. If product market competition increases, the ability of profit sharing to improve employment through economic integration increases with moderated wages. While, the economic integration associating with market power in turn decrease the possibilities of profit sharing with higher wages to improve employment. Using data from the manufacturing sector for the years 1996 to 2004, the empirical results show that profit-sharing has a positive impact on employment during the process of European integration, but can have ambiguous effects on the stability of employment in Finland.

How Kings are Made, How Kingship Changes : A Study of Ritual and Ritual Change in Pre-Colonial Owamboland, Namibia

This study discusses the legitimacy basis of political power and its changes in historical African societies. It starts from Luc de Heusch s tenet that political power required a legitimacy basis of a spiritual kind, often formulated as sacred kingship. In ancient and pre-literate societies such kings were held to be responsible for the fertility of man, land and cattle. The king was a paradoxical figure, symbolising society, but standing above it, while simultaneously being its victim by being ritually killed at old age. This was also how Owambo sacred kings were conceived. De Heusch suggested that African kings derived their power over fertility from having been made sacred monsters in the rituals of installation. With the example of Owambo kingship, this study argues that the transgressive and monstrous aspect is only one of several dimension of a king s sacredness and brings out the nurturing and symbolically female aspect, identified but not analysed further by de Heusch. In the Owambo kingly installation a king-elect was made sacred, and part of it was that a link was ritually created to the early owners of the land. Their consent made it possible for the king to promote fertility and to appropriate power emblems needed for ruling. In the kingdom of Ondonga the early owners of the land were the spirits of early Bushman inhabitants and those of an early kingly clan, both neglected in public memory. The sacred dimension of kingship was further augmented when kings manipulated and appropriated rain rituals and initiation rituals, both of which were related to fertility. The study argues that even though there were aspects of the sacred monster in Owambo kingship, its manifestation was, in part, a distortion of the reciprocal aspect of kingship that was expressed in the homage paid to various ancestor spirits. A change in succession practices from ritual regicide to political assassination took place concomitant with the introduction of firearms, and this broke the sacrificial aspect of sacred kingship paving the way for a more predatory form of kingship while the sacred status of the king was retained.

Inference on Cointegration in Vector Autoregressive Models (summary section only)

In the thesis we consider inference for cointegration in vector autoregressive (VAR) models. The thesis consists of an introduction and four papers. The first paper proposes a new test for cointegration in VAR models that is directly based on the eigenvalues of the least squares (LS) estimate of the autoregressive matrix. In the second paper we compare a small sample correction for the likelihood ratio (LR) test of cointegrating rank and the bootstrap. The simulation experiments show that the bootstrap works very well in practice and dominates the correction factor. The tests are applied to international stock prices data, and the .nite sample performance of the tests are investigated by simulating the data. The third paper studies the demand for money in Sweden 1970—2000 using the I(2) model. In the fourth paper we re-examine the evidence of cointegration between international stock prices. The paper shows that some of the previous empirical results can be explained by the small-sample bias and size distortion of Johansen’s LR tests for cointegration. In all papers we work with two data sets. The first data set is a Swedish money demand data set with observations on the money stock, the consumer price index, gross domestic product (GDP), the short-term interest rate and the long-term interest rate. The data are quarterly and the sample period is 1970(1)—2000(1). The second data set consists of month-end stock market index observations for Finland, France, Germany, Sweden, the United Kingdom and the United States from 1980(1) to 1997(2). Both data sets are typical of the sample sizes encountered in economic data, and the applications illustrate the usefulness of the models and tests discussed in the thesis.

Bootstrapping the Error Correction Model Cointegration Test

This paper is concerned with using the bootstrap to obtain improved critical values for the error correction model (ECM) cointegration test in dynamic models. In the paper we investigate the effects of dynamic specification on the size and power of the ECM cointegration test with bootstrap critical values. The results from a Monte Carlo study show that the size of the bootstrap ECM cointegration test is close to the nominal significance level. We find that overspecification of the lag length results in a loss of power. Underspecification of the lag length results in size distortion. The performance of the bootstrap ECM cointegration test deteriorates if the correct lag length is not used in the ECM. The bootstrap ECM cointegration test is therefore not robust to model misspecification.

News Media, Crime and Fear of Violence

Finland witnessed a surge in crime news reporting during the 1990s. At the same time, there was a significant rise in the levels of fear of crime reported by surveys. This research examines whether and how the two phenomena: news media and fear of violence were associated with each other. The dissertation consists of five sub-studies and a summary article. The first sub-study is a review of crime reporting trends in Finland, in which I have reviewed prior research and used existing Finnish datasets on media contents and crime news media exposure. The second study examines the association between crime media consumption and fear of crime when personal and vicarious victimization experiences have been held constant. Apart from analyzing the impact of crime news consumption on fear, media effects on general social trust are analyzed in the third sub-study. In the fourth sub-study I have analyzed the contents of the Finnish Poliisi-TV programme and compared the consistency of the picture of violent crime between official data sources and the programme. In the fifth and final sub-study, the victim narratives of Poliisi-TV s violence news contents have been analyzed. The research provides a series of results which are unprecedented in Finland. First, it observes that as in many other countries, the quantity of crime news supply has increased quite markedly in Finland. Second, it verifies that exposure to crime news is related to being worried about violent victimization and avoidance behaviour. Third, it documents that exposure to TV crime reality-programming is associated with reduced social trust among Finnish adolescents. Fourth, the analysis of Poliisi-TV shows that it transmits a distorted view of crime when contrasted with primary data sources on crime, but that this distortion is not as big as could be expected from international research findings and epochal theories of sociology. Fifth, the portrayals of violence victims in Poliisi-TV do not fit the traditional ideal types of victims that are usually seen to dominate crime media. The fact that the victims of violence in Poliisi-TV are ordinary people represents a wider development of the changing significance of the crime victim in Finland. The research concludes that although the media most likely did have an effect on the rising public fears in the 1990s, the mechanism was not as straight forward as has often been claimed. It is likely that there are other factors in the fear-media equation that are affecting both fear levels and crime reporting and that these factors are interactive in nature. Finally, the research calls for a re-orientation of media criminology and suggests more emphasis on the positive implications of crime in the media. Keywords: crime, media, fear of crime, violence, victimization, news