On Random Planar Curves and Their Scaling Limits

Planar curves arise naturally as interfaces between two regions of the plane. An important part of statistical physics is the study of lattice models. This thesis is about the interfaces of 2D lattice models. The scaling limit is an infinite system limit which is taken by letting the lattice mesh decrease to zero. At criticality, the scaling limit of an interface is one of the SLE curves (Schramm-Loewner evolution), introduced by Oded Schramm. This family of random curves is parametrized by a real variable, which determines the universality class of the model. The first and the second paper of this thesis study properties of SLEs. They contain two different methods to study the whole SLE curve, which is, in fact, the most interesting object from the statistical physics point of view. These methods are applied to study two symmetries of SLE: reversibility and duality. The first paper uses an algebraic method and a representation of the Virasoro algebra to find common martingales to different processes, and that way, to confirm the symmetries for polynomial expected values of natural SLE data. In the second paper, a recursion is obtained for the same kind of expected values. The recursion is based on stationarity of the law of the whole SLE curve under a SLE induced flow. The third paper deals with one of the most central questions of the field and provides a framework of estimates for describing 2D scaling limits by SLE curves. In particular, it is shown that a weak estimate on the probability of an annulus crossing implies that a random curve arising from a statistical physics model will have scaling limits and those will be well-described by Loewner evolutions with random driving forces.

Integral Transformations of Volterra Gaussian Processes

We study integral representations of Gaussian processes with a pre-specified law in terms of other Gaussian processes. The dissertation consists of an introduction and of four research articles. In the introduction, we provide an overview about Volterra Gaussian processes in general, and fractional Brownian motion in particular. In the first article, we derive a finite interval integral transformation, which changes fractional Brownian motion with a given Hurst index into fractional Brownian motion with an other Hurst index. Based on this transformation, we construct a prelimit which formally converges to an analogous, infinite interval integral transformation. In the second article, we prove this convergence rigorously and show that the infinite interval transformation is a direct consequence of the finite interval transformation. In the third article, we consider general Volterra Gaussian processes. We derive measure-preserving transformations of these processes and their inherently related bridges. Also, as a related result, we obtain a Fourier-Laguerre series expansion for the first Wiener chaos of a Gaussian martingale. In the fourth article, we derive a class of ergodic transformations of self-similar Volterra Gaussian processes.

Whiteness scholarship in early childhood education

This paper explores how whiteness scholarship can support deep engagement with both historical and contemporary forms of whiteness and racism in early childhood education. To this point, the uptake of whiteness scholarship in the field of early childhood has focused predominantly on autobiographical narratives. These narratives recount white educators’ stories of ‘becoming aware’ or ‘unmasking’ their whiteness. In colonising contexts including Australia, New Zealand and Canada, understanding how whiteness operates in different ways and what this means for educational research and practice, can support researchers and educators to identify and describe more fully the impacts of subtle forms of racism in their everyday practices. In this paper, whiteness is explored in a broader sense as: a form of property; an organising principle for institutional behaviours and practices; and as a fluid identity or subject position. These three intersecting elements of whiteness are drawn on to analyse data from a doctoral study about embedding Aboriginal and Torres Strait Islander perspectives in early childhood education curricula in two Australian urban childcare settings. Analysis is focused on how whiteness operated within the research site and research processes, along with the actions, inaction and talk of two educators engaged in embedding work. Findings show that both the researcher and educators reinforced, rather than reduced the impacts of whiteness and racism, despite the best of intentions.

Understanding local processes: Contemplating franchisation

Increasing, there is growing acknowledgement of the importance of franchising within all modern global economies. Despite this, little is understood with regards the actual impact of franchising on local economies. This research aims to reframe the contribution of franchising by considering the process of franchisation. This study employed a mixed-method approach, utilizing critical realism to facilitate an outcomes-based explanation of firm survival. The focus of the study was upon generative mechanisms that were assumed to give rise to particular events from which (pizza) firm survival was enhanced vis-à-vis all other community members. A database of 2440 firms (or in excess of 21,000 company years) combined with archival records, interviews and the researcher’s observations provided the researcher with access to the nature of interaction occurring between firms. It was found that the survival of local firms was influenced positively by the day-to-day actions of franchise operators. However, it is argued that to understand how any such advantage my fall to local independent firms, we need too better appreciate the multitude of local processes related to such industries. This research re-examines several ecological concepts with the view of enabling a clearer investigation of underlying local processes. It also represents an authentic autecological approach to the study of firms.

On a generalized dynamic model of bi-state social interaction processes

A non-linear model, construed as a generalized version of the models put forth earlier for the study of bi-state social interaction processes, is proposed in this study. The feasibility of deriving the dynamics of such processes is demonstrated by establishing equivalence between the non-linear model and a higher order linear model.

A new approach for fixed point smoothing in linear distributed parameter systems

In this paper, we solve the distributed parameter fixed point smoothing problem by formulating it as an extended linear filtering problem and show that these results coincide with those obtained in the literature using the forward innovations method.

Organizational competencies and dynamic Accounting Information System capability: Impact on AIS processes and firm performance

Accounting information systems (AIS) capture and process accounting data and provide valuable information for decision-makers. However, in a rapidly changing environment, continual management of the AIS is necessary for organizations to optimise performance outcomes. We suggest that building a dynamic AIS capability enables accounting process and organizational performance. Using the dynamic capabilities framework (Teece 2007) we propose that a dynamic AIS capability can be developed through the synergy of three competencies: a flexible AIS, having a complementary business intelligence system and accounting professionals with IT technical competency. Using survey data, we find evidence of a positive association between a dynamic AIS capability, accounting process performance, and overall firm performance. The results suggest that developing a dynamic AIS resource can add value to an organization. This study provides guidance for organizations looking to leverage the performance outcomes of their AIS environment.

Critical point phenomena in the electrical resistivity of binary liquid systems: Cs2 + CH3CN and CS2 + CH3NO2

Electrical resistance measurements are reported on the binary liquid mixtures CS2 + CH3CN and CS2 + CH3NO2 with special reference to the critical region. Impurity conduction seems to be the dominant mechanism for charge transport. For the liquid mixture filled at the critical composition, the resistance of the system aboveT c follows the relationR=R c−A(T−T c) b withb=0·6±0·1. BelowT c the conductivities of the two phases obey a relation σ2−σ1=B(T c−T)β with β=0·34±0·02, the exponent of the transport coefficient being the same as the exponent of the order parameter, an equilibrium property.

Kertomuksia kirkon työntekijäksi kasvamisesta : Kirkon nuorisotyötä opiskelevien spiritualiteetin ja ammatillisen identiteetin muotoutuminen

The aim of the study was to analyse Church Youth Work Leader students different processes of developing their spirituality and professional identity. The study was carried out in connection with the church-orientated education at the Diaconia University of Applied Sciences (Diak). The method of the study was narrative analysis. The data consisted of stories written (N=46) and told (N=10) by students, that were collected over three years in two units of Diak. The data was analysed in two ways: first with categorical-content analysis, and then with holistic-content analysis and holistic-form reading in order to establish the comprehensive views of complete narratives. The theoretical starting-point was to regard spirituality widely, including religion and faith. In the first data analysis, this theory was focused so that spirituality was namely Christian spirituality including personal faith and worship, membership in the Christian community and persons values and ideas about the meaning of life. The results of the investigation were presented in five model narratives. The story of a social care worker represents the process of a student orientating to social work. In this story spirituality manifested as a part of social and personal identity but not as a part of professional identity. The vocation for helping people led the student to social care work. In the story of a counselor, students good connection to their home parish took a central role. They had good experiences working as young Christian volunteers, and during their studies this volunteer role became professional role. Spirituality was strongly joined to professional identity. The story of an educator represents a vocation for spiritual work and youth work in the church. In this story students also had good connections to their home parishes. Spirituality manifested as a part of personal, social and professional identity. In the story of a spiritual worker or preacher, each person s spiritual vocation was remarkable. Spirituality was extremely individual and it defined the personal, social and professional identity. Spiritual devotion caused a change in students orientation from the church to social services. The story of a searcher tells about a student who is still looking for her or his own profession. The focus of the story was on personal growth and considering one s values and the meaning of life. Spirituality was manifested in personal identity. The results indicate that the practical placements in the second academic year have an important effect on students professional orientation and professional identity. The connection to the local parish has also significant meaning for students spiritual formation and development into church professions.

Standardization efforts: The relationship between knowledge dimensions, search processes and innovation outcomes

We explore how a standardization effort (i.e., when a firm pursues standards to further innovation) involves different search processes for knowledge and innovation outcomes. Using an inductive case study of Vanke, a leading Chinese property developer, we show how varying degrees of knowledge complexity and codification combine to produce a typology of four types of search process: active, integrative, decentralized and passive, resulting in four types of innovation outcome: modular, radical, incremental and architectural. We argue that when the standardization effort in a firm involves highly codified knowledge, incremental and architectural innovation outcomes are fostered, while modular and radical innovations are hindered. We discuss how standardization efforts can result in a second-order innovation capability, and conclude by calling for comparative research in other settings to understand how standardization efforts can be suited to different types of search process in different industry contexts.

A preliminary investigation into technology and processes facilitating the assurance of learning

This paper reports on the outcomes from a preliminary evaluation of technologies and processes intended to support the Assurance of Learning initiative in the business faculty of an Australian university. The study investigated how existing institutional information systems and operational processes could be used to support direct measures of student learning and the attainment of intended learning goals. The levels at which learning outcomes had been attained were extracted from the University Learning Management System (LMS), based on rubric data for three assessments in two units. Spreadsheets were used to link rubric criteria to the learning goals associated with the assessments as identified in a previous curriculum mapping exercise, and to aggregate the outcomes. Recommendations arising from this preliminary study are made to inform a more comprehensive pilot based on this approach, and manage the quality of student learning experiences in the context of existing processes and reporting structures.