Geometric Characterizations for Patterson-Sullivan Measures of Geometrically Finite Kleinian Groups

The main results of this thesis show that a Patterson-Sullivan measure of a non-elementary geometrically finite Kleinian group can always be characterized using geometric covering and packing constructions. This means that if the standard covering and packing constructions are modified in a suitable way, one can use either one of them to construct a geometric measure which is identical to the Patterson-Sullivan measure. The main results generalize and modify results of D. Sullivan which show that one can sometimes use the standard covering construction to construct a suitable geometric measure and sometimes the standard packing construction. Sullivan has shown also that neither or both of the standard constructions can be used to construct the geometric measure in some situations. The main modifications of the standard constructions are based on certain geometric properties of limit sets of Kleinian groups studied first by P. Tukia. These geometric properties describe how closely the limit set of a given Kleinian group resembles euclidean planes or spheres of varying dimension on small scales. The main idea is to express these geometric properties in a quantitative form which can be incorporated into the gauge functions used in the modified covering and packing constructions. Certain estimation results for general conformal measures of Kleinian groups play a crucial role in the proofs of the main results. These estimation results are generalizations and modifications of similar results considered, among others, by B. Stratmann, D. Sullivan, P. Tukia and S. Velani. The modified constructions are in general defined without reference to Kleinian groups, so they or their variants may prove useful in some other contexts in addition to that of Kleinian groups.

Univariate, bivariate, and multivariate methods in corpus-based lexicography : A study of synonymy

In this dissertation, I present an overall methodological framework for studying linguistic alternations, focusing specifically on lexical variation in denoting a single meaning, that is, synonymy. As the practical example, I employ the synonymous set of the four most common Finnish verbs denoting THINK, namely ajatella, miettiä, pohtia and harkita ‘think, reflect, ponder, consider’. As a continuation to previous work, I describe in considerable detail the extension of statistical methods from dichotomous linguistic settings (e.g., Gries 2003; Bresnan et al. 2007) to polytomous ones, that is, concerning more than two possible alternative outcomes. The applied statistical methods are arranged into a succession of stages with increasing complexity, proceeding from univariate via bivariate to multivariate techniques in the end. As the central multivariate method, I argue for the use of polytomous logistic regression and demonstrate its practical implementation to the studied phenomenon, thus extending the work by Bresnan et al. (2007), who applied simple (binary) logistic regression to a dichotomous structural alternation in English. The results of the various statistical analyses confirm that a wide range of contextual features across different categories are indeed associated with the use and selection of the selected think lexemes; however, a substantial part of these features are not exemplified in current Finnish lexicographical descriptions. The multivariate analysis results indicate that the semantic classifications of syntactic argument types are on the average the most distinctive feature category, followed by overall semantic characterizations of the verb chains, and then syntactic argument types alone, with morphological features pertaining to the verb chain and extra-linguistic features relegated to the last position. In terms of overall performance of the multivariate analysis and modeling, the prediction accuracy seems to reach a ceiling at a Recall rate of roughly two-thirds of the sentences in the research corpus. The analysis of these results suggests a limit to what can be explained and determined within the immediate sentential context and applying the conventional descriptive and analytical apparatus based on currently available linguistic theories and models. The results also support Bresnan’s (2007) and others’ (e.g., Bod et al. 2003) probabilistic view of the relationship between linguistic usage and the underlying linguistic system, in which only a minority of linguistic choices are categorical, given the known context – represented as a feature cluster – that can be analytically grasped and identified. Instead, most contexts exhibit degrees of variation as to their outcomes, resulting in proportionate choices over longer stretches of usage in texts or speech.

LKB1 tumor suppression in Peutz-Jeghers Syndrome

Kasvainten, ajatellaan syntyvän yksittäisen solun perimän mutaatioista, jonka seurauksena tuon solun kasvu häiriintyy. Ruoansulatuskanavan polyyppien syntyä käytetään usein mallina siitä, miten nämä epiteelisoluun kerääntyvät mutaatiot aiheuttavat asteittain pahenevan kasvuhäiriön. Peutz–Jeghersin oireyhtymä (PJS) on perinnöllinen polypoosisyndrooma, jossa oireita aiheuttavat erityisesti maha-suolikanavan hamartomatoottiset polyypit. Noin puolella PJS potilaista havaitaan mutaatioita LKB1 kasvunrajoite geenissä. Hiirille joilta toinen Lkb1 alleeli on poistettu (Lkb1+/-) kehittyy PJS-tyypin maha-suolikanavan polyyppeja, joissa on epiteelin liikakasvun lisäksi merkittävä sileälihaskomponentti, aivan kuten PJS polyypeissa. Kuten myös muissa ruoansulatuskanavan polypooseissa, sekä PJS että hiirten polyypeissa Cyclo-oxygenaasi-2:n (COX-2) määrä on usein kohonnut. PJS-polyyppien kehittymisen molekulaarinen mekanismi on kuitenkin selvittämättä. Koska vain osa PJS potilaista kantaa LKB1 mutaatioita, mutaatiot jossakin toisessa lokuksessa saattaisivat selittää osan PJS tapauksista. Jotta PJS:n geneettinen tausta selviäisi, seulottiin kolmen LKB1:n kanssa interaktoivan proteiinin (BRG1, STRADα ja MO25α) geenit PJS potilaista joilla ei ole havaittu LKB1 mutaatioita. Yhdessäkään tutkituista geeneistä ei havaittu tautia aiheuttavia mutaatioita. Näiden kolmen geenin pois sulkeminen, ja uusien menetelmien ansiosta kasvanut havaittujen Lkb1 mutaatioden määrä viittaavat LKB1:n olevan useimpien PJS tapausten taustalla. COX-2:n estäjien käyttö on tehokkaasti vähentänyt polyyppien määrää familiaarisessa adenomatoottisessa polypoosissa. Tästä johtuen COX-2:n eston tehokkuutta tutkittiin PJS polypoosissa. PJS-tyypin polypoosin havaittin pienenevän merkittävästi Lkb1+/- hiirissä, joilta oli lisäksi poistettu toinen tai molemmat COX-2:n alleeleista. Lisäksi farmakologinen COX-2:n esto Celecoxib:lla vähensi polypoosia tehokkaasti. Näin ollen COX-2:n eston tehokkuutta tutkittiin seuraavaksi PJS potilaissa. Kuuden kuukauden Celecoxib hoidon jälkeen polypoosin havaittiin vähentyneen merkittävästi osalla potilaista (2/6). Nämä tulokset osoittavat COX-2:n roolin PJS-polyyppien kehityksessä, ja viittaavat COX-2:n eston vähentävän polypoosia. Kasvunrajoitegeenin klassisen määritelmän mukaan kasvaimen kehitys vaatii perinnöllisen mutaation lisäksi geenin toisenkin alleelin mutaation, mutta PJS-polyyppien häiriintyneestä epiteelistä ei kuitenkaan systemaattisesti löydy toista LKB1:n mutaatiota. Havainto johti tutkimukseen, jossa selvitettiin voisiko LKB1:n kasvun rajoitus välittyäkin epäsuorasti tukikudokseksi ajatelluista sileälihassoluista. Tätä tutkittiin kehittämällä poistogeeninen hiirimalli jossa Lkb1 on mutatoitunut vain sileälihassoluissa. Näille hiirille kehittyi polyyppeja, jotka ovat kaikin tavoin PJS-polyyppien kaltaisia. Lkb1:n menettäneiden solujen havaittiin tuottavan vähemmän transformoivaa kasvutekijä beetaa (TGFß), joka aiheutti solujen välisen viestinnän heikentymisen ja mahdollisesti viereisten epiteelisolujen liikakasvun. Vastaava häiriö havaittiin myös PJS-potilaiden polyypeissa, mikä viittaa siihen, että potilaillakin sileälihassolujen häiriö on polyyppien taustalla. Havainto suuntaa täten hoitokohteiden etsintää ja osoittaa että LKB1 toimii kasvunrajoittajana epätyypillisellä tavalla pitäen naapurisolujen kasvun kurissa.

Composition operators on vector-valued BMOA and related function spaces

A composition operator is a linear operator between spaces of analytic or harmonic functions on the unit disk, which precomposes a function with a fixed self-map of the disk. A fundamental problem is to relate properties of a composition operator to the function-theoretic properties of the self-map. During the recent decades these operators have been very actively studied in connection with various function spaces. The study of composition operators lies in the intersection of two central fields of mathematical analysis; function theory and operator theory. This thesis consists of four research articles and an overview. In the first three articles the weak compactness of composition operators is studied on certain vector-valued function spaces. A vector-valued function takes its values in some complex Banach space. In the first and third article sufficient conditions are given for a composition operator to be weakly compact on different versions of vector-valued BMOA spaces. In the second article characterizations are given for the weak compactness of a composition operator on harmonic Hardy spaces and spaces of Cauchy transforms, provided the functions take values in a reflexive Banach space. Composition operators are also considered on certain weak versions of the above function spaces. In addition, the relationship of different vector-valued function spaces is analyzed. In the fourth article weighted composition operators are studied on the scalar-valued BMOA space and its subspace VMOA. A weighted composition operator is obtained by first applying a composition operator and then a pointwise multiplier. A complete characterization is given for the boundedness and compactness of a weighted composition operator on BMOA and VMOA. Moreover, the essential norm of a weighted composition operator on VMOA is estimated. These results generalize many previously known results about composition operators and pointwise multipliers on these spaces.

High-quality polar UV measurements : scientific analyses and transfer of the irradiance scale

The Earth's ecosystems are protected from the dangerous part of the solar ultraviolet (UV) radiation by stratospheric ozone, which absorbs most of the harmful UV wavelengths. Severe depletion of stratospheric ozone has been observed in the Antarctic region, and to a lesser extent in the Arctic and midlatitudes. Concern about the effects of increasing UV radiation on human beings and the natural environment has led to ground based monitoring of UV radiation. In order to achieve high-quality UV time series for scientific analyses, proper quality control (QC) and quality assurance (QA) procedures have to be followed. In this work, practices of QC and QA are developed for Brewer spectroradiometers and NILU-UV multifilter radiometers, which measure in the Arctic and Antarctic regions, respectively. These practices are applicable to other UV instruments as well. The spectral features and the effect of different factors affecting UV radiation were studied for the spectral UV time series at Sodankylä. The QA of the Finnish Meteorological Institute's (FMI) two Brewer spectroradiometers included daily maintenance, laboratory characterizations, the calculation of long-term spectral responsivity, data processing and quality assessment. New methods for the cosine correction, the temperature correction and the calculation of long-term changes of spectral responsivity were developed. Reconstructed UV irradiances were used as a QA tool for spectroradiometer data. The actual cosine correction factor was found to vary between 1.08-1.12 and 1.08-1.13. The temperature characterization showed a linear temperature dependence between the instrument's internal temperature and the photon counts per cycle. Both Brewers have participated in international spectroradiometer comparisons and have shown good stability. The differences between the Brewers and the portable reference spectroradiometer QASUME have been within 5% during 2002-2010. The features of the spectral UV radiation time series at Sodankylä were analysed for the time period 1990-2001. No statistically significant long-term changes in UV irradiances were found, and the results were strongly dependent on the time period studied. Ozone was the dominant factor affecting UV radiation during the springtime, whereas clouds played a more important role during the summertime. During this work, the Antarctic NILU-UV multifilter radiometer network was established by the Instituto Nacional de Meteorogía (INM) as a joint Spanish-Argentinian-Finnish cooperation project. As part of this work, the QC/QA practices of the network were developed. They included training of the operators, daily maintenance, regular lamp tests and solar comparisons with the travelling reference instrument. Drifts of up to 35% in the sensitivity of the channels of the NILU-UV multifilter radiometers were found during the first four years of operation. This work emphasized the importance of proper QC/QA, including regular lamp tests, for the multifilter radiometers also. The effect of the drifts were corrected by a method scaling the site NILU-UV channels to those of the travelling reference NILU-UV. After correction, the mean ratios of erythemally-weighted UV dose rates measured during solar comparisons between the reference NILU-UV and the site NILU-UVs were 1.007±0.011 and 1.012±0.012 for Ushuaia and Marambio, respectively, when the solar zenith angle varied up to 80°. Solar comparisons between the NILU-UVs and spectroradiometers showed a ±5% difference near local noon time, which can be seen as proof of successful QC/QA procedures and transfer of irradiance scales. This work also showed that UV measurements made in the Arctic and Antarctic can be comparable with each other.

Viitotut elämät : Kuurojen nuorten aikuisten kokemuksia viittomakielisestä elämästä Suomessa

The goal of the study is to build an image of deafness and of the lives of the deaf from their own per-spectives. The lives of deaf sign language users are analysed through the concept of identity. The start-ing point for the study is the idea that identities are moulded and structured in action and interaction and are, therefore, continuous processes. The terminology and ideas used in the present study are mostly based on Erving Goffman s (1971, 1986) work in which he sees identity as a representation of self. Via our language and our actions we build and present an image of ourselves to others and to ourselves alike. The research aims at answering the following questions concerning the lives of deaf sign language users: how do deaf people build an image of themselves as deaf people, what kind of meanings does deafness acquire in their lives, and what opportunities do they have to be perceived by others as they feel they are, i.e. to present their true self . In order to answer these questions, the narratives provided by eighteen deaf young adults, aged 25 35, in narrative interviews carried out in sign language, have been analysed. The methodology used is that of a data-based, qualitative analysis and narrative analy-sis. The study follows the lines of prior qualitative research carried out in the field of sociology of health and in the study of everyday life. The subjects are divided into three groups according to the linguistic environment dominant in the family: 1) a deaf child in a deaf family, 2) a deaf child in a hearing family using sign language, and 3) a deaf child in a hearing family where sign language was not used. The childhood family has great significance in the way a child constructs his or her identity as a deaf person. The process of construct-ing an identity in the first group can be defined as being automatic or inherited, in the second group the process can be described as being a collective/joint identity-building process, whereas in the third group the process is ambivalent and delayed. The opportunities the deaf have in building their identi-ties as deaf people have been examined through the concept of a collective story reservoir. Research shows that the deaf have, at least partly, a different collective story reservoir that they can rely on from the one the hearing have. Interaction with other deaf people and access to the collective story reservoir is important, because it enables the deaf to form an idea of their own deafness and the life of a deaf person. Three different ways of understanding deafness can be conceptualized from the narratives of the inter-viewed deaf people. In the outdated counter-narrative and the reductive narrative of deafness as an abnormality, the subjects are not capable of seeing themselves as forming part of the narratives or identifying themselves with the ways the deaf are depicted. Yet, the characterizations prevalent in them are the ones that the deaf constantly come across in their day-to-day lives. The narrative through which the subjects depict themselves and their lives can be defined as a pluralistic narrative. The plu-ralistic narrative consists of three elements: the coexistence of the world of the deaf and that of the hearing, the orientation to sign language, and the replacement of local networks with global networks. Although modern Finnish society and its varied social services and subsidy systems enable the realiza-tion of the kind of life described in the pluralistic narrative, the issues of power and inequality still frequently emerge in the narratives in which the deaf young adults described themselves and their lives. Two kinds of power mechanisms can be perceived in the descriptions: belittling and excluding power. These considerably diminish the opportunities of sign language users to create the kind of life that would reflect their personalities while limiting the chances for presenting the self to others.

Global, Local and Vector-Valued Tb Theorems on Non-Homogeneous Metric Spaces

Various Tb theorems play a key role in the modern harmonic analysis. They provide characterizations for the boundedness of Calderón-Zygmund type singular integral operators. The general philosophy is that to conclude the boundedness of an operator T on some function space, one needs only to test it on some suitable function b. The main object of this dissertation is to prove very general Tb theorems. The dissertation consists of four research articles and an introductory part. The framework is general with respect to the domain (a metric space), the measure (an upper doubling measure) and the range (a UMD Banach space). Moreover, the used testing conditions are weak. In the first article a (global) Tb theorem on non-homogeneous metric spaces is proved. One of the main technical components is the construction of a randomization procedure for the metric dyadic cubes. The difficulty lies in the fact that metric spaces do not, in general, have a translation group. Also, the measures considered are more general than in the existing literature. This generality is genuinely important for some applications, including the result of Volberg and Wick concerning the characterization of measures for which the analytic Besov-Sobolev space embeds continuously into the space of square integrable functions. In the second article a vector-valued extension of the main result of the first article is considered. This theorem is a new contribution to the vector-valued literature, since previously such general domains and measures were not allowed. The third article deals with local Tb theorems both in the homogeneous and non-homogeneous situations. A modified version of the general non-homogeneous proof technique of Nazarov, Treil and Volberg is extended to cover the case of upper doubling measures. This technique is also used in the homogeneous setting to prove local Tb theorems with weak testing conditions introduced by Auscher, Hofmann, Muscalu, Tao and Thiele. This gives a completely new and direct proof of such results utilizing the full force of non-homogeneous analysis. The final article has to do with sharp weighted theory for maximal truncations of Calderón-Zygmund operators. This includes a reduction to certain Sawyer-type testing conditions, which are in the spirit of Tb theorems and thus of the dissertation. The article extends the sharp bounds previously known only for untruncated operators, and also proves sharp weak type results, which are new even for untruncated operators. New techniques are introduced to overcome the difficulties introduced by the non-linearity of maximal truncations.