O papel das medidas de complexidade tem se tornado cada vez mais claro na extensão da compreensão que se tem sobre sistemas complexos. Todavia, apesar do grande número de medidas propostas para capturar tais características em sistemas clássicos, para sistemas quânticos somente vê-se extensões da complexidade algorítmica de Kolmogorov. Assim, propõe-se neste trabalho a extensão de três medidas de complexidade pelo uso do ferramental da teoria da informação quântica para torná-las capazes de compreender a quantificação da complexidade de estados quânticos. Resultados mostram que alguns fenômenos observados em sistemas complexos clássicos estão presentes em estados bipartite e tripartite de qubits e estão intimamente ligados com a presença de entrelaçamento nos mesmos. Tanto comprovação de conceitos já conhecidos como indícios de novos fenômenos foram observados, ambos com possíveis aplicações tecnológicas. / The role of complexity measures has become increasingly clear on the extent of understanding we have of complex systems. However, despite the large number of measures proposed to capture these characteristics in classical systems, to quantum systems there are only extensions of the Kolmogorov\'s algorithmic complexity. Thus, this work proposes the extension of three measures of complexity by using the tools of quantum information theory to make them able to understand the quantification of the complexity of quantum states. Results show that some phenomena observed in classical complex systems are present in bipartite and tripartite states of qubits and are closely linked with the presence of entanglement in them. Both proof of known concepts as signs of new phenomena were observed, with possible technological applications.

Realizou-se em estudo de múltiplos casos com o objetivo de entender como determinadas características organizacionais, baseadas em características de sistemas dinâmicos não-lineares eficazes explicadas pela Teoria da Complexidade, guardam algum tipo de relacionamento com a eficácia das organizações que as possuem e desenvolvem. Os focos do trabalho são os Sistemas de Gestão da Qualidade certificados conforme as normas ISO 9001/2. A escolha teve como motivações a possibilidade de maior controle dos efeitos dos fatores ambientais sobre os resultados de pesquisa e a transparência destes sistemas para o pesquisador. Um dos maiores desafios foi desenvolver, na revisão bibliográfica, uma interpretação da Teoria da Complexidade sob a ótica das ciências sociais, em especial da Administração. O referencial teórico consolidado através desta interpretação foi colocado à prova e foram encontrados diversos indícios de que a Teoria da Complexidade pode ser uma explicação coerente da dinâmica dos sistemas organizacionais. Mais importante ainda, não foi encontrada nenhuma evidência clara de que não o seja. Encontrar alguma racionalidade no atual ambiente de negócios é um grande desafio. Por outro lado, para poder decidir e agir, o administrador precisa de um modelo mental que lhe permita se integrar nesta realidade de forma consciente e autônoma. Este trabalho procurou mostrar que a Complexidade pode ser uma alternativa para a compreensão da dinâmica dos sistemas organizacionais e, desta forma, contribuir para a construção deste modelo mental. / A multiple case study was made with the objective of understanding how specific organizational characteristics, based on non-linear dynamic systems characteristics explained by the Complexity Theory, hold any relation with the effectiveness of the organizations that carry and develop these characteristics. The focuses of this work are Quality Management Systems certified by the ISO 9001/2 norms. The motivation of this choice where the possibility of greater control over the effects of environmental factors and the transparency of these systems for the researcher. One of the greater challenges where to develop, at the bibliographical review, an interpretation of the Complexity Theory under the view of the social sciences, especially of Management. The theoretical referee consolidated trough this interpretation was put to test and where found several clues that the Complexity Theory can be a coherent explanation of the dynamic of organizational systems. More important yet, no clear evidence was found that it is not. To find any rationality at the present business environment is a great challenge. However, to be able to decide and to act, the manager needs a mental model that allows him to integrate in this reality in a conscious and autonomous form. This work tried to show that Complexity can be an alternative for the understanding of the dynamics of organizational systems and, consequently, to contribute for the construction of this mental model.

Over the past two decades, holistic and systemic approaches to second language development have begun to draw the attention of scholars in the field of SLA. These studies are primarily informed by complexity theory, which emerged from the general systems theory. General systems theory, however, has another important theoretical offshoot in social sciences, namely autopoietic systems theory. An investigation of conceptual tools drawn from the latter theory has been absent in the field of second language education. This paper seeks to explore how systemic thinking has improved the field’s understanding of the complexity of the L2 development. It then explores the possibilities for incorporating autopoietic systems theory into complexity thinking to better understand the dynamics of L2 development at personal and social levels. Finally, it will highlight two insights from a systemic analysis of language development in L2 classroom groupings. These insights build on each other to describe L2 development from a systemic perspective. By exploring and bringing together these theoretical perspectives, this paper hopes to shed light on how complexity theory can provide a systemic description of L2 development.

<div>This study explores historical syntactic changes within a complex network framework focusing on the development of the German verb <i>werden</i> (to become) and the emergence of the related passive and future periphrases. The data are collected from a corpus of Middle and Early New High German texts and the analysis of the instances is carried out in two different stages. The first stage focuses on the frequency of the verb <i>werden</i> and the elements that co-occurred with it throughout Middle and Early New High German. The second stage investigates the same instances through a complex network framework by applying descriptive statistics to uncover the features of the Middle and Early New High German networks that have been created with the occurrences of<i> werden</i> found in the corpus.</div><div><br></div><div><div>The results of the analysis show that <i>werden</i> experienced an increase in the type of connections it was able to establish throughout the centuries. Such a process is known in the literature as preferential attachment. This suggests that linguistic networks, and specifically, syntactic networks, are also subjected to processes that are common among non-linguistic networks.</div></div>

Thesis advisor: Patrick J. McQuillan / In a time of increasing accountability, school leaders are besieged with challenges to improve student performance (Cosner & Jones, 2016; Day et al., 2016), build teacher capacity (Beteille et al., 2012; Miller, 2013), and develop a coherent school vision (Finnigan & Stewart, 2009; Hitt & Tucker, 2016) to better meet the needs of increasingly diverse student populations. Unsurprisingly, the stress of these and other challenges has led to a marked increase in principal turnover in recent decades (Snodgrass Rangel, 2018). These conditions necessitate an understanding of how schools navigate transitions in leadership and the impact changes in leadership can have on a school’s ability to meet ever evolving challenges. Analyzing data from a seven-year study using a comparative case study approach (Bartlett & Vavrus, 2017), this paper considers the experiences of three different schools as a single Catholic school principal transitions between the school sites. Drawing on complexity thinking (Goldstein et al., 2011; Lichtenstein & Plowman, 2009), this study explores the extent to which the principal was able to impact each school’s readiness for change through the interconnected processes of distributing authority, creating a common school vision, and fostering trust. / Thesis (PhD) — Boston College, 2022. / Submitted to: Boston College. Lynch School of Education. / Discipline: Teacher Education, Special Education, Curriculum and Instruction.

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This dissertation examines the nexus of complexity theory and peace education and its implications for developing educational praxis that engages with the demands of global complexity. In this thesis, I argue that as societies become more globalized and complex (global complexity) there is an onus upon education to adapt its methods so people can understand the workings of these processes better and further develop the ethical and creative resources needed for responding to system dynamics effectively. My central thesis is that the most appropriate way to do this is to use methods that are congruent with the subject matter of global complexity¿that is to align ones pedagogy with one¿s subject area. This dissertation therefore investigates the situated and contingent responses of peace educators working in the field to the challenges and opportunities that arise when attempting to adapt to local/global dynamics. It utilizes ethnography, narrative inquiry, and autoethnography and draws its data from interviews with over 50 educators in India, Japan, and the US. This research demonstrates that when engaging with global complexity, peace educators adapt both their ontological understanding and methodological orientation in ways congruent at times with the insights of complexity theory. While this understanding can be at odds with mass educational methodologies, this tension also is a touchstone for peace educator¿s creative formulation of novel praxis in response to the demands of global complexity. This dissertation thus examines some of the possibilities for learning within complex knowledge production systems and highlights the need for further research into the dynamics and processes at play within global educational ¿networks.¿

Relationships, according to national and international research, play a crucial role in the promotion of holistic well-being in school communities. However, the central role of relationships in school communities is not fully appreciated in the South African context. Concurrently, a gap in research on the promotion of relational well-being in South African school communities exists. The importance of addressing this shortcoming is especially evident when viewing recent research literature and media reports on dysfunctional behaviour in school communities, such as violence, bullying, child abuse, inappropriate sexual behaviour, and alcohol and substance abuse. These dysfunctional behaviours indicate the extent to which relational well-being is currently compromised in South African school communities. This study intends to address the abovementioned gap in knowledge regarding the promotion of relational well-being in school communities. The aim was obtained by involving a group of postgraduate students, enrolled for a Master’s or Doctoral programme with a focus on relational well-being, and who work in school environments in various capacities and contexts. The research was informed by a combination of theoretical lenses that offer a holistic, multi-dimensional, strength-based approach to the understanding of relational well-being, and acknowledge the complexity of relationships. A qualitative phenomenological research design was applied using the World Café method, to facilitate a space within which these students could reflect on the promotion of relational well-being in school communities. A total of 29 participants, selected by means of purposive and convenience sampling, were involved in a World Café event, and twenty of these participants completed an open-ended questionnaire, developed with the aim of crystallising the data obtained from the World Café. Thematic analysis of the data was conducted and four main themes were identified: Firstly, the participants reflected on the complex, integrated nature of the process of promoting relational well-being, from an eco-systemic perspective. Based on this understanding, they viewed members of the school community as inseparably integrated and bi-directionally influencing one another, as also indicated by complex dynamic interactive systems theorists. They also mentioned that certain environmental influences could impair relational well-being. Secondly, they reflected on the promotion of relational well-being as a collaborative and inclusive process that involves all the members of the school community and requires all of them to take responsibility. The teachers’ and school managements’ role as leaders in facilitating the process was specifically highlighted, although the parents/caretakers were also seen as bearing a responsibility in this regard. Therefore, home-school collaboration was emphasised. Thirdly, they reflected on the challenges relating to the promotion of relational well-being in school communities. These challenges encompassed the need to equip and support teachers and parents to be able to promote relational well-being, addressing the imbalanced focus on academics and achievement in schools at the expense of relationships, and the need to promote relational well-being more proactively by addressing the way in which limited time and large class sizes jeopardise relational well-being. Lastly, perceived key elements of interrelatedness for the promotion of relational well-being in school communities were highlighted. These key elements include respectful engagements, acceptance of one another, positive communication based on trust, a sense of belonging or connectedness, and care and support. In view of the findings of the study, recommendations are made to the Department of Education as well as to school management teams. Finally, recommendations regarding future research are offered. / MA (Psychology), North-West University, Potchefstroom Campus, 2014

Relationships, according to national and international research, play a crucial role in the promotion of holistic well-being in school communities. However, the central role of relationships in school communities is not fully appreciated in the South African context. Concurrently, a gap in research on the promotion of relational well-being in South African school communities exists. The importance of addressing this shortcoming is especially evident when viewing recent research literature and media reports on dysfunctional behaviour in school communities, such as violence, bullying, child abuse, inappropriate sexual behaviour, and alcohol and substance abuse. These dysfunctional behaviours indicate the extent to which relational well-being is currently compromised in South African school communities. This study intends to address the abovementioned gap in knowledge regarding the promotion of relational well-being in school communities. The aim was obtained by involving a group of postgraduate students, enrolled for a Master’s or Doctoral programme with a focus on relational well-being, and who work in school environments in various capacities and contexts. The research was informed by a combination of theoretical lenses that offer a holistic, multi-dimensional, strength-based approach to the understanding of relational well-being, and acknowledge the complexity of relationships. A qualitative phenomenological research design was applied using the World Café method, to facilitate a space within which these students could reflect on the promotion of relational well-being in school communities. A total of 29 participants, selected by means of purposive and convenience sampling, were involved in a World Café event, and twenty of these participants completed an open-ended questionnaire, developed with the aim of crystallising the data obtained from the World Café. Thematic analysis of the data was conducted and four main themes were identified: Firstly, the participants reflected on the complex, integrated nature of the process of promoting relational well-being, from an eco-systemic perspective. Based on this understanding, they viewed members of the school community as inseparably integrated and bi-directionally influencing one another, as also indicated by complex dynamic interactive systems theorists. They also mentioned that certain environmental influences could impair relational well-being. Secondly, they reflected on the promotion of relational well-being as a collaborative and inclusive process that involves all the members of the school community and requires all of them to take responsibility. The teachers’ and school managements’ role as leaders in facilitating the process was specifically highlighted, although the parents/caretakers were also seen as bearing a responsibility in this regard. Therefore, home-school collaboration was emphasised. Thirdly, they reflected on the challenges relating to the promotion of relational well-being in school communities. These challenges encompassed the need to equip and support teachers and parents to be able to promote relational well-being, addressing the imbalanced focus on academics and achievement in schools at the expense of relationships, and the need to promote relational well-being more proactively by addressing the way in which limited time and large class sizes jeopardise relational well-being. Lastly, perceived key elements of interrelatedness for the promotion of relational well-being in school communities were highlighted. These key elements include respectful engagements, acceptance of one another, positive communication based on trust, a sense of belonging or connectedness, and care and support. In view of the findings of the study, recommendations are made to the Department of Education as well as to school management teams. Finally, recommendations regarding future research are offered. / MA (Psychology), North-West University, Potchefstroom Campus, 2014

Conduct an exploratory study on operationally focussed managers within a South African company, using both quantitative and qualitative analysis, to determine the correlation between the required and actual levels of complexity and time-span of control at specific hierarchical levels / Organisational design needs to be in line with capabilities of the individual-inrole. The structure of an organization directly impacts the overall effectiveness and ultimately the success of such an organization and the number of layers required in any given hierarchy is a product of the organization’s mission (Jaques, 1989). Stratified Systems Theory (Jaques, 1989) defines work in seven strata based on a basis of decision-making complexity. The research presented here identifies a specific organisation’s current level of work based on complexity and the time-span of decision-making. Research was done in one specific geographical region of a company operating in the Supply Chain and Logistics industry in South Africa. Qualitative data collection was done by means of interviews with a defined sample group that provided an adequate cross-section of the main functions of the business, however, the sampling technique used may not provide results representative of the entire population. ii The Brunel Institute for Organisation and Social Studies’ (BIOSS) Matrix of Working Relationships was used as main basis for reporting results. The research indicates that the organisation is presently, according to Jaques Stratified Systems Theory (Jaques, 1989), operating at one level below their intended level that will allow them to effectively meet their longterm strategic objectives. The report identifies shortcomings in terms of the current capabilities of the individual-in-role and the actual work requirements, setting a foundation for further analysis of individual capabilities for effective organisational design. / Graduate School of Business Leadership / MBL