A Touch of Red : Archaeological and Ethnographic Approaches to Interpreting Finnish Rock Paintings

Approximately 125 prehistoric rock paintings have been found in the modern territory of Finland. The paintings were done with red ochre and are almost without exception located on steep lakeshore cliffs associated with ancient water routes. Most of the sites are found in the central and eastern parts of the country, especially on the shores of Lakes Päijänne and Saimaa. Using shore displacement chronology, the art has been dated to ca. 5000 – 1500 BC. It was thus created mainly during the Stone Age and can be associated with the so-called ‘Comb Ware’ cultures of the Subneolithic period. The range of motifs is rather limited, consisting mainly of schematic depictions of stick-figure humans, elks, boats, handprints and geometric signs. Few paintings include any evidence of narrative scenes, making their interpretation a rather difficult task. In Finnish archaeological literature, the paintings have traditionally been associated with ’sympathetic’ hunting magic, or the belief that the ritual shooting of the painted animals would increase hunting luck. Some writers have also suggested totemistic and shamanistic readings of the art. This dissertation is a critical review of the interpretations offered of Finnish rock art and an exploration of the potentials of archaeological and ethnographic research in increasing our knowledge of its meaning. Methods used include ’formal’ approaches such as archaeological excavation, landscape analysis and the application of neuropsychological research to the study of rock art, as well as ethnographically ’informed’ approaches that make use of Saami and Baltic Finnish ethnohistorical sources in interpretation. In conclusion, it is argued that although North European hunter-gatherer rock art is often thought to lie beyond the reach of ‘informed’ knowledge, the exceptional continuity of prehistoric settlement in Finland validates the informed approach in the interpretation of Finnish rock paintings. The art can be confidently associated with shamanism of the kind still practiced by the Saami of Northern Fennoscandia in the historical period. Evidence of similar shamanistic practices, concepts and cosmology are also found in traditional Finnish-Karelian epic poetry. Previous readings of the art based on ‘hunting magic’ and totemism are rejected. Most of the paintings appear to depict experiences of falling into a trance, of shamanic metamorphosis and trance journeys, and of ‘spirit helper’ beings comparable to those employed by the Saami shaman (noaidi). As demonstrated by the results of an excavation at the rock painting of Valkeisaari, the painted cliffs themselves find a close parallel in the Saami cult of the 'sieidi', or sacred cliffs and boulders worshipped as expressing a supernatural power. Like the Saami, the prehistoric inhabitants of the Finnish Lake Region seem to have believed that certain cliffs were ’alive’ and inhabited by the spirit helpers of the shaman. The rock paintings can thus be associated with shamanic vision quests, and the making of ‘art’ with an effort to socialize the other members of the community, especially the ritual specialists, with trance visions. However, the paintings were not merely to be looked at. The red ochre handprints pressed on images of elks, as well as the fact that many paintings appear ’smeared’, indicate that they were also to be touched – perhaps in order to tap into the supernatural potency inherent in the cliff and in the paintings of spirit animals.

Mediated music makers : Constructing author images in popular music

The subject of the thesis is the mediated construction of author images in popular music. In the study, the construction of images is treated as a process in which artists, the media and the members of the audience participate. The notions of presented, mediated and compiled author images are used in explaining the mediation process and the various authorial roles of the agents involved. In order to explore the issue more closely, I analyse the author images of a group of popular music artists representing the genres of rock, pop and electronic dance music. The analysed material consists mostly of written media texts through which the artists authorial roles and creative responsibilities are discussed. Theoretically speaking, the starting points for the examination lie in cultural studies and discourse analysis. Even though author images may be conceived as intertextual constructions, the artist is usually presented as a recognizable figure whose purpose is to give the music its public face. This study does not, then, deal with musical authors as such, but rather with their public images and mediated constructions. Because of the author-based functioning of popular music culture and the idea of the artist s individual creative power, the collective and social processes involved in the making of popular music are often superseded by the belief in a single, originating authorship. In addition to the collective practices of music making, the roles of the media and the marketing machinery complicate attempts to clarify the sharing of authorial contributions. As the case studies demonstrate, the differences between the examined author images are connected with a number of themes ranging from issues of auteurism and stardom to the use of masked imagery and the blending of authorial voices. Also the emergence of new music technologies has affected not only the ways in which music is made, but also how the artist s authorial status and artistic identity is understood. In the study at hand, the author images of auteurs, stars, DJs and sampling artists are discussed alongside such varied topics as collective authorship, evaluative hierarchies, visual promotion and generic conventions. Taken altogether, the examined case studies shed light on the functioning of popular music culture and the ways in which musical authorship is (re)defined.

Kehittävän kuntoutuksen mahdollisuudet. : Tutkimus Aslak -kuntoutuksen työkytkennän ja asiakkuuden rakentumisesta.

The possibilities of developmental rehabilitation. A study on the construction of work relatedness and the customer in Aslak rehabilitation The challenge of work-related rehabilitation is to anticipate the factors threatening work ability and to affect them. The purpose of this study was to analyze how work-related rehabilitation is constructed in practice and what are the challenges and, at the same time, the possibilities of an innovative transformation of rehabilitation when trying to achive this goal. The theoretical basis is cultural-historical activity theory and developmental work research. Based on a historical analysis, I studied rehabilitation activity empirically using the data gathered from one Aslak programme (Aslak = occupationally oriented medical rehabilitation) over two years. I described and analysed the construction of Aslak using ethnographic data and interviews. The data includes audio- and video-recordings of the Aslak course, fieldnotes, documents and other materials used in the course. The study aimed to reveal rehabilitation practices from different perspectives carried out by different stakeholders and participants in the Aslak course. It focused on the Aslak trajectory produced by a multiorganizational subject. I analyzed the rehabilitation activity using the method of ethnographic analysis of infrastructure. The method of analyzing the construction of the object of rehabilititation the customer was a membership categorization analysis (MCD) based on the ethnomethodological research tradition. I analyzed the meanings denoting customers given by different parties during one Aslak process and the relations between the meanings. Based on this analysis, I studied the disturbances, ruptures, and innovations in the rehabilitation activity. The results of the study show that the infrastructure of Aslak has different basic ideas. Aslak is constructed most explicitly on the infrastructure of medical rehabilitation. The second layer has been provided with some tools of identifying and preventing well-defined occupation-specific load factors. However, it has failed to perform a new structure, as Aslak has encountered, at the same time, rapid changes in working life. The study identified some promising markers representing new kinds of work-related rehabilitation ideas, but they proved to be incomplete and fragile. As a consequence of the multilayered infrastructure, the contents of the Aslak course were split into fragmented phases and disconnected themes, which were blocked in by the master idea of medical orientation. Its relationship to work remained weak and obscure. The categorizations of customers in Aslak were manifold and contradictory. According to the results, the possibilities for transforming work-related rehabilitation lie both in changing the orientation to the customer to be more relevant to changing working life and forging the infrastructural innovations related to this change. The results showed that a new work-relatedeness would be difficult but possible to construct. What is needed is the construction of an infrastructure that will support a coherent master idea of work-related rehabilitation over the entire trajectory of a process. A shared idea of a rehabilitation object must be constructed in close collaboration between different stakeholders, such as Kela (the Social Insurance Institution of Finland), occupational health services, work organizations, and rehabilitation institutes. Key words: Aslak rehabilitation, work-related rehabilitation, development of rehabilitation, customer of rehabilitation, developmental work research, analysis of infrastructure, membership category analysis

Visual completion in an illusory figure

The visual systems of humans and animals represent physical reality in a modified way, depending on the specific demands that the species in question has for survival. The ability to perceive visual illusions is found in independently evolved visual systems, from honeybees to humans. In humans, the ability emerges early, at the age of four months. Thus the perception of illusion is likely to reflect visual processes of fundamental importance for object perception in natural vision. The experiments reported in this thesis employed various modifications of the Kanizsa triangle, a drawn configuration composed of three black disks with missing sectors on a white background. The sectors appear to form the tips of a triangle. The visual system completes the physically empty area between the disks, generally called inducers, with giving the perception of an illusory triangle. The illusory triangle consists of an illusory surface bounded by illusory contours; the triangle appears brighter than and to lie above the background. If the sectors are coloured, the colour fills the illusory area, a phenomenon known as neon colour spreading . We investigated spatial limitations on the perception of Kanizsa-type illusions and how other stimuli and viewing parameters affected these limitations. We also studied complex configurations thick, bent, mobile and chromatic inducers - to determine whether illusions combining several attributes can be perceived. The results suggest that the visual system is highly effective in completing a percept. The perception of an illusory figure is spatially scale invariant when perceived at threshold. The processing time and the number of fixations modify the percept, making the perception of the illusion more probable in various viewing conditions. Furthermore, the fact that the illusion can be perceived when only one inducer is physically present at any given moment indicates the potential of single inducers. Apparently, modelling illusory figure perception will require a combination of low-level, local processes and higher-level integrative processes. Our studies with stimuli combining several attributes relevant to object perception demonstrate that the perception of an illusory figure is flexible and is maintained also when it contains colour and volume and when shown in movement. All in all, the results confirm the assumed importance of the visual processes related with the perception of illusory figures in everyday viewing. This is indicated by the variety of inducer modifications that can be made without destroying the percept. Furthermore, the illusion can acquire additional attributes from such modifications. Due to individual differences in the perception of illusory figures, universal values for absolute performance are not always meaningful, but stable trends and general relations do exist.

"Valehtelu ei auta, mutta kaikkea ei kannata kertoa." : Kertomatta jättäminen parisuhteen vuorovaikutuskontekstissa

Topic avoidance in romantic relationships has not been researched before in Finnish speech communication research, and this study was expected to increase the understanding of a phenomenon that acquires relatively dramatic attributes in everyday conversation. The aim of this study was to describe topic avoidance based on what was told in the interviews, and to describe the beliefs concerning functional or dysfunctional relational communication that can be interpreted from the interviewees' speech when they talk about topic avoidance. The theoretical reference frame of this study consists of the Communication Privacy Management Theory, relational dialectics, and earlier, mostly American research on topic avoidance. Ten Finnish people aged 22-31, who all had previous experience on one or more marital or common-law relationships were interviewed for this study. Additional material for the study was gathered from the interviewees by using the role playing method to describe interactional events where something essential is left unsaid in the context of romantic relationship. The following values were attributed to functional communication in romantic relationships: openness, equality, honesty, trust and positivity. The dialectical nature of the phenomenon being researched is evident in the way that along with openness, the interviewees talked about excessive openness that should occasionally be avoided in the context of relational communication by leaving things unsaid. Topic avoidance was seen both as a conscious strategic communication for managing privacy, and as an uncontrollable force of nature that at its worst destroys the relationship. When topic avoidance is seen as strategic communication, the choice concerning what is left unsaid is made by weighing the following dimensions asgainst each other: risks/ benefits (for self, relationship), protects/ does not protect (self, partner, relationship), burdens/ does not burden (self, partner, relationship), honesty/ dishonesty, responsibility lies with self/ responsibility does not lie with self. Topic avoidance was acceptable if it was used in order to preserve the relationship, as opposed to gaining power in the relationship or causing insecurity for the partner. The acceptability of topic avoidance varied according to whether it differed from lying or not. When the interviewees talk about topic avoidance, their speech can be interpreted to mean that in spite of uncontrollability, communicative choices can be made in relational communication and that skills concerning communication in romantic relationships can be learned.

Idealähtöistä koulualgebraa : IDEAA-opetusmallin kehittäminen algebran opetukseen peruskoulun 7. luokalla

This research is based on the problems in secondary school algebra I have noticed in my own work as a teacher of mathematics. Algebra does not touch the pupil, it remains knowledge that is not used or tested. Furthermore the performance level in algebra is quite low. This study presents a model for 7th grade algebra instruction in order to make algebra more natural and useful to students. I refer to the instruction model as the Idea-based Algebra (IDEAA). The basic ideas of this IDEAA model are 1) to combine children's own informal mathematics with scientific mathematics ("math math") and 2) to structure algebra content as a "map of big ideas", not as a traditional sequence of powers, polynomials, equations, and word problems. This research project is a kind of design process or design research. As such, this project has three, intertwined goals: research, design and pedagogical practice. I also assume three roles. As a researcher, I want to learn about learning and school algebra, its problems and possibilities. As a designer, I use research in the intervention to develop a shared artefact, the instruction model. In addition, I want to improve the practice through intervention and research. A design research like this is quite challenging. Its goals and means are intertwined and change in the research process. Theory emerges from the inquiry; it is not given a priori. The aim to improve instruction is normative, as one should take into account what "good" means in school algebra. An important part of my study is to work out these paradigmatic questions. The result of the study is threefold. The main result is the instruction model designed in the study. The second result is the theory that is developed of the teaching, learning and algebra. The third result is knowledge of the design process. The instruction model (IDEAA) is connected to four main features of good algebra education: 1) the situationality of learning, 2) learning as knowledge building, in which natural language and intuitive thinking work as "intermediaries", 3) the emergence and diversity of algebra, and 4) the development of high performance skills at any stage of instruction.

Keltaista ja kimaltavaa : kodin ja koulun yhteistyöstä koulun ja kodin yhteyteen

Through this study I aim to portray connections between home and school through the patterns of thought and action shared in everyday life in a certain community. My observations are primarily based upon interviews, writings and artwork by people from home (N=32) and school (N=13) contexts. Through the stories told, I depict the characters and characteristic features of the home-school interaction by generations. According to the material, in the school days of the grandparents the focus was on discipline and order. For the parents, the focus had shifted towards knowledge, while for the pupils today, the focus lies on evaluation, through which the upbringing of the child is steered towards favourable outcomes. Teachers and those people at home hold partially different understandings of home-school interaction, both of its manifested forms and potentials. The forms of contact in use today are largely seen as one-sided. Yearning for openness and regularity is shared by both sides, yet understood differently. Common causes for failure are said to lie in plain human difficulties in communication and social interaction, but deeply rooted traditions regarding forms of contact also cast a shadow on the route to successful co-operation. This study started around the idea, that home-school interaction should be steered towards the ex-change of constructive ideas between both the home and school environments. Combining the dif-ferent views gives to something to build upon. To test this idea, I drafted a practice period, which was implemented in a small pre-school environment in the fall of 1997. My focus of interest in this project was on the handling of ordinary life information in the schools. So I combined individual views, patterns of knowledge and understanding of the world into the process of teaching. Works of art and writings by the informants worked as tools for information processing and as practical forms of building home-school interaction. Experiences from the pre-school environ-ment were later on echoed in constructing home-school interaction in five other schools. In both these projects, the teaching in the school was based on stories, thoughts and performances put to-gether by the parents, grandparents and children at home. During these processes, the material used in this study, consisting of artwork, writings and interviews (N=501), was collected. The data shows that information originating from the home environments was both a motivating and interesting addition to the teaching. There even was a sense of pride when assessing the seeds of knowledge from one’s own roots. In most cases and subjects, the homegrown information content was seamlessly connected to the functions of school and the curriculum. This project initiated thought processes between pupils and teachers, adults, children and parents, teachers and parents, and also between generations. It appeared that many of the subjects covered had not been raised before between the various participant groups. I have a special interest here in visual expression and its various contextual meanings. There art material portrays how content matter and characteristic features of the adult and parent contexts reflect in the works of the children. Another clearly noticeable factor in the art material is the impact of time-related traditions and functions on the means of visual expression. Comparing the visual material to the written material reveals variances of meaning and possibilities between these forms of expression. The visual material appears to be related especially to portraying objects, action and usage. Processing through that making of images was noted to bring back memories of concrete structures, details and also emotions. This process offered the child an intensive social connection with the adults. In some cases, with children and adults alike, this project brought forth an ongoing relation to visual expression. During this study I end up changing the concept to ‘home-school collaboration’. This widely used concept guides and outlines the interaction between schools and homes. In order to broaden the field of possibilities, I choose to use the concept ‘school-home interconnection’. This concept forms better grounds for forming varying impressions and practices when building interactive contexts. This concept places the responsibility of bridging the connection-gap in the schools. Through the experiences and innovations of thought gained from these projects, I form a model of pedagogy that embraces the idea of school-home interconnection and builds on the various impres-sions and expressions contained in it. In this model, school makes use of the experiences, thoughts and conceptions from the home environment. Various forms of expression are used to portray and process this information. This joint evaluation and observation evolves thought patterns both in school and at home. Keywords: percieving, visuality, visual culture, art and text, visual expression, art education, growth in interaction, home-school collaboration, school-home interconnection, school-home interaction model.

Aritmetiikasta algebraan : Muutoksia osaamisessa peruskoulun päättöluokalla 20 vuoden aikana

From Arithmetic to Algebra. Changes in the skills in comprehensive school over 20 years. In recent decades we have emphasized the understanding of calculation in mathematics teaching. Many studies have found that better understanding helps to apply skills in new conditions and that the ability to think on an abstract level increases the transfer to new contexts. In my research I take into consideration competence as a matrix where content is in a horizontal line and levels of thinking are in a vertical line. The know-how is intellectual and strategic flexibility and understanding. The resources and limitations of memory have their effects on learning in different ways in different phases. Therefore both flexible conceptual thinking and automatization must be considered in learning. The research questions that I examine are what kind of changes have occurred in mathematical skills in comprehensive school over the last 20 years and what kind of conceptual thinking is demonstrated by students in this decade. The study consists of two parts. The first part is a statistical analysis of the mathematical skills and their changes over the last 20 years in comprehensive school. In the test the pupils did not use calculators. The second part is a qualitative analysis of the conceptual thinking of pupils in comprehensive school in this decade. The study shows significant differences in algebra and in some parts of arithmetic. The largest differences were detected in the calculation skills of fractions. In the 1980s two out of three pupils were able to complete tasks with fractions, but in the 2000s only one out of three pupils were able to do the same tasks. Also remarkable is that out of the students who could complete the tasks with fractions, only one out of three pupils was on the conceptual level in his/her thinking. This means that about 10% of pupils are able to understand the algebraic expression, which has the same isomorphic structure as the arithmetical expression. This finding is important because the ability to think innovatively is created when learning the basic concepts. Keywords: arithmetic, algebra, competence

Keitä huonokuuloiset oikein ovat? : Lähtökohtia huonokuuloisten sosiaalisten identiteettien tutkimukselle

To be hard-of-hearing (HOH) isn t only a hearing-related phenomenon. Some HOH people identify themselves with the majority population, where as others identify themselves with culturally Deaf or with other HOH people. This results in three different kinds of groups. The original aim of this study was to interview HOH people in order to discover the social identities of these three groups. It turned out, however, that there are only few studies exploring this subject. It was therefore first necessary to develop sustainable and suitable starting points for the examination of the information produced by the interviews. In other words, the construction of the theoretical and conceptual frame of reference became the objective of this study. It is, on one hand, the personal experiences of the researcher s mingling with different kinds of HOH people and with culturally Deaf and, on the other, the literature concerning identities that lie in the background of this study. The analysis concentrated on the studies of identities in general and on the previous works dealing with the identities of the HOH people as well as on other studies with reference to HOH people. The choice between mainstream education and special education is one of the main factors affecting the development of the identity. Yet, it became apparent that identifying with the relevant reference group (majority population, culturally Deaf or other HOH people) had an even greater influence than the school. The hard of hearing define themselves differently and take different views on being HOH, depending on their social relations, their values and on their communicative and cultural features. The conclusion is that HOH people should be examined as different groups, not as one group, since they differ clearly from each other.

Northern challanges for profitable production of quality naked oat

Naked oat (Avena sativa f.sp. nuda L.) is the highest quality cereal in northern growing conditions. However the cultivation area of naked oat is remarkably small. Major challenges for naked oat production are to observe its nakedness. The caryopsis of naked oat is sensitive to mechanical damage at harvest, especially at high grain moisture content. The greater the grain moisture content of naked oat at harvest, the more loses of germination capacity was caused by threshing. For producing high quality naked oat seed, it is recommended that harvesting be done at as low grain moisture content as possible. However, if this is not possible, better germination can be ensure with gentle harvest by reducing the cylinder speed. In spite of conventional oat s excellent fat and amino acid composition in animal feed use, as far as nutritional value is concerned, the total energy yield of oat is weaker than other cereals because of the hulls. Also with naked oat the dehulling is not complete, while hull content on different cultivars mostly varied between one to six percent. In addition to genotype, environmental conditions markedly control the expression of nakedness. Thresher settings had only limited effects on hull content. The function of hulls is to protect the groat, but this was confirmed only for Finnish, small grain, cultivar Lisbeth. The oat kernel is generally covered with fine silky hairs termed trichomes. The trichomes of naked oat are partly lost during threshing and handling of grains. Trichomes can cause itchiness in those handling the grains and also accumulate and form fine dust and can block-up machinery. The cultivars differed considerably in pubescence. Some thresher settings, including increased cylinder speed, slightly increased grain polishing such that grains had some areas completely free of trichomes. Adjusting thresher settings was generally not an efficient means of solving the problems associated with naked oat trichomes. The main differences in cultivation costs between naked and conventional oat lie in the amount of seeds required and the drying costs. The main differences affecting the economic result lie in market prices, yield level and feed value. The results indicate that naked oat is financially more profitable than conventional oat, when the crop is sold at a specific price at all yield levels and when the crop is used as feed at highest yield level. At lower yield levels, conventional oat is, in spite of its lower feed value, the more profitable option for feed use. Dehulled oat did not achieve the same economic result as naked oat, as the cost of dehulling, including the hull waste, was considerable. According to this study naked oat can be cultivated successfully under northern conditions, when taking into consideration the soft, naked grain through cultivation chain.

Topological Quantum Computation - An Analysis of an Anyon Model Based on Quantum Double Symmetries

There exists various suggestions for building a functional and a fault-tolerant large-scale quantum computer. Topological quantum computation is a more exotic suggestion, which makes use of the properties of quasiparticles manifest only in certain two-dimensional systems. These so called anyons exhibit topological degrees of freedom, which, in principle, can be used to execute quantum computation with intrinsic fault-tolerance. This feature is the main incentive to study topological quantum computation. The objective of this thesis is to provide an accessible introduction to the theory. In this thesis one has considered the theory of anyons arising in two-dimensional quantum mechanical systems, which are described by gauge theories based on so called quantum double symmetries. The quasiparticles are shown to exhibit interactions and carry quantum numbers, which are both of topological nature. Particularly, it is found that the addition of the quantum numbers is not unique, but that the fusion of the quasiparticles is described by a non-trivial fusion algebra. It is discussed how this property can be used to encode quantum information in a manner which is intrinsically protected from decoherence and how one could, in principle, perform quantum computation by braiding the quasiparticles. As an example of the presented general discussion, the particle spectrum and the fusion algebra of an anyon model based on the gauge group S_3 are explicitly derived. The fusion algebra is found to branch into multiple proper subalgebras and the simplest one of them is chosen as a model for an illustrative demonstration. The different steps of a topological quantum computation are outlined and the computational power of the model is assessed. It turns out that the chosen model is not universal for quantum computation. However, because the objective was a demonstration of the theory with explicit calculations, none of the other more complicated fusion subalgebras were considered. Studying their applicability for quantum computation could be a topic of further research.

Syntheses and Self-Assembling Characteristics of Amphiphilic Star Diblock Copolymers

Uusien polymeeripohjaisten teknologioiden ja materiaalien myötä räätälöityjen polymeerien tarve on kasvanut. Viime vuosituhannen lopussa kehitetyt kontrolloidut polymerointimenetelmät ovat avanneet uusia mahdollisuuksia paitsi monimutkaisten polymeerien synteesiin, myös itsejärjestyvyyteen perustuvien funktionaalisten nanorakenteiden suunnitteluun ja valmistukseen. Nämä voivat jäljitellä luonnossa esiintyviä rakenteita, joita muodostavat esimerkiksi lipidit ja proteiinit. Itsejärjestyvät molekyylit ovat usein amfifiilisiä eli ne koostuvat hydrofiilisistä ja hydrofobisista osista ja polymeereissä nämä osat voivat olla omina lohkoinaan, jolloin puhutaan amfifiilisistä lohko- tai blokkikopolymeereistä. Riippuen järjestyneiden rakenteiden koostumuksesta ja muodosta, amfifiilisiä blokkikopolymeerejä on tutkittu tai jo käytetty nanoteknologiassa, elastomeereissä, voiteluaineissa, pinta-aktiivisina aineina, lääkkeenannostelussa, maaleissa, sekä elektroniikka-, kosmetiikka- ja elintarviketeollisuudessa. Tavallisimmin käytetyt amfifiiliset blokkikopolymeerit ovat olleet lineaarisia, mutta viime aikoina tutkimus on suuntautunut kohti monimutkaisempia rakenteita. Tällaisia ovat esimerkiksi tähtipolymeerit. Tähtimäisissä polymeereissä miselleille tyypillinen ydin-kuori-rakenne säilyy hyvin alhaisissakin polymeerikonsentraatioissa, koska polymeeriketjut ovat kiinni toisissaan yhdessä pisteessä. Siten ne ovat erityisen kiinnostavia tutkimuskohteita erilaisten hydrofobisten orgaanisten yhdisteiden sitomiseksi ja vapauttamiseksi. Tässä työssä on tarkasteltu amfifiilisten tähtipolymeerien itsejärjestymistä vesiliuoksissa sekä kokeellisesti ja tietokonesimulaatioin. Työ koostuu kahdesta osasta: tähtipolymeerien synteesistä makrosyklisillä initiaattoreilla ja amfifiilisten tähtimäisten blokkikopolymeerien ominaisuuksien tutkimisesta.

Conformal Field Theory Methods for Variants of Schramm-Loewner Evolutions

This thesis consists of an introduction, four research articles and an appendix. The thesis studies relations between two different approaches to continuum limit of models of two dimensional statistical mechanics at criticality. The approach of conformal field theory (CFT) could be thought of as the algebraic classification of some basic objects in these models. It has been succesfully used by physicists since 1980's. The other approach, Schramm-Loewner evolutions (SLEs), is a recently introduced set of mathematical methods to study random curves or interfaces occurring in the continuum limit of the models. The first and second included articles argue on basis of statistical mechanics what would be a plausible relation between SLEs and conformal field theory. The first article studies multiple SLEs, several random curves simultaneously in a domain. The proposed definition is compatible with a natural commutation requirement suggested by Dubédat. The curves of multiple SLE may form different topological configurations, ``pure geometries''. We conjecture a relation between the topological configurations and CFT concepts of conformal blocks and operator product expansions. Example applications of multiple SLEs include crossing probabilities for percolation and Ising model. The second article studies SLE variants that represent models with boundary conditions implemented by primary fields. The most well known of these, SLE(kappa, rho), is shown to be simple in terms of the Coulomb gas formalism of CFT. In the third article the space of local martingales for variants of SLE is shown to carry a representation of Virasoro algebra. Finding this structure is guided by the relation of SLEs and CFTs in general, but the result is established in a straightforward fashion. This article, too, emphasizes multiple SLEs and proposes a possible way of treating pure geometries in terms of Coulomb gas. The fourth article states results of applications of the Virasoro structure to the open questions of SLE reversibility and duality. Proofs of the stated results are provided in the appendix. The objective is an indirect computation of certain polynomial expected values. Provided that these expected values exist, in generic cases they are shown to possess the desired properties, thus giving support for both reversibility and duality.

Luonnollisten lukujen joukon määriteltävyys funktioalgebroissa

Let X be a topological space and K the real algebra of the reals, the complex numbers, the quaternions, or the octonions. The functions form X to K form an algebra T(X,K) with pointwise addition and multiplication. We study first-order definability of the constant function set N' corresponding to the set of the naturals in certain subalgebras of T(X,K). In the vocabulary the symbols Constant, +, *, 0', and 1' are used, where Constant denotes the predicate defining the constants, and 0' and 1' denote the constant functions with values 0 and 1 respectively. The most important result is the following. Let X be a topological space, K the real algebra of the reals, the compelex numbers, the quaternions, or the octonions, and R a subalgebra of the algebra of all functions from X to K containing all constants. Then N' is definable in , if at least one of the following conditions is true. (1) The algebra R is a subalgebra of the algebra of all continuous functions containing a piecewise open mapping from X to K. (2) The space X is sigma-compact, and R is a subalgebra of the algebra of all continuous functions containing a function whose range contains a nonempty open set of K. (3) The algebra K is the set of reals or the complex numbers, and R contains a piecewise open mapping from X to K and does not contain an everywhere unbounded function. (4) The algebra R contains a piecewise open mapping from X to the set of the reals and function whose range contains a nonempty open subset of K. Furthermore R does not contain an everywhere unbounded function.