Topological properties and fractal analysis of a recurrence network constructed from fractional Brownian motions

Many studies have shown that we can gain additional information on time series by investigating their accompanying complex networks. In this work, we investigate the fundamental topological and fractal properties of recurrence networks constructed from fractional Brownian motions (FBMs). First, our results indicate that the constructed recurrence networks have exponential degree distributions; the average degree exponent 〈λ〉 increases first and then decreases with the increase of Hurst index H of the associated FBMs; the relationship between H and 〈λ〉 can be represented by a cubic polynomial function. We next focus on the motif rank distribution of recurrence networks, so that we can better understand networks at the local structure level. We find the interesting superfamily phenomenon, i.e., the recurrence networks with the same motif rank pattern being grouped into two superfamilies. Last, we numerically analyze the fractal and multifractal properties of recurrence networks. We find that the average fractal dimension 〈dB〉 of recurrence networks decreases with the Hurst index H of the associated FBMs, and their dependence approximately satisfies the linear formula 〈dB〉≈2-H, which means that the fractal dimension of the associated recurrence network is close to that of the graph of the FBM. Moreover, our numerical results of multifractal analysis show that the multifractality exists in these recurrence networks, and the multifractality of these networks becomes stronger at first and then weaker when the Hurst index of the associated time series becomes larger from 0.4 to 0.95. In particular, the recurrence network with the Hurst index H=0.5 possesses the strongest multifractality. In addition, the dependence relationships of the average information dimension 〈D(1)〉 and the average correlation dimension 〈D(2)〉 on the Hurst index H can also be fitted well with linear functions. Our results strongly suggest that the recurrence network inherits the basic characteristic and the fractal nature of the associated FBM series.

Theorising the impacts of digitally mediated social interaction on diasporic identity formation: A case of Chinese diaspora in Australia

With the scope of Chinese diaspora in Australia, this paper theorises the impacts of digitally mediated social interaction on diasporic identity formation in the new media landscape. People’s identity is the outcome of their social interactions with other individuals. In the new media landscape, digital media technologies are changing the way in which people communicate with others. On one hand, space and time are unprecedentedly compressed by media technologies so people can maintain more frequent and instant connections with others than before. On the other hand, the digital media technologies have constructed a virtual social space that might withdraw people from their physical social interactions. As we witness today, our social interactions are increasing digitally mediated, in the forms of posts and comments in social network sites, as well as the messages in social apps. As to the diasporic groups, this new media landscape is presenting a challenge to their identity formation. They physically live in the host countries but still keep close social and cultural connections with their homelands. Facilitated by digital media technologies, they are facing two platforms in which they can practice different identity performances: one is the digitally mediated social network; the other is the physical social network. In the case of Chinese diaspora, the situation is more complex due to the language factor and media censorship in Mainland China, which will be articulated in the main text. This paper aims to fill a gap between media studies and diaspora research. Most of existing research on the relationship between diasporic identity and media primarily focuses on the development of ethnic media institutions, and the production and consumption of ethnic media in the pre-digital media context. However, the process of globalisation and digital media technologies are increasing the homogeneity and hybridity of media content worldwide. In this new context, attributing the formation of different identities to the consumption of media content is arguable to some extent. Therefore, the overlapped area of new media studies and diaspora research still has space deserves further investigation.

Rethinking Culture and Diversity in Early Childhood Preservice Teacher Education: Looking at Teaching and Learning Through an Interdisciplinary Lens

Early Childhood Education (ECE) has a long history of building foundations for children to achieve their full potential, enabling parents to participate in the economy while children are cared for, addressing poverty and disadvantage, and building individual, community and societal resources. In so doing, ECE has developed a set of cultural practices and ways of knowing that shape the field and the people who work within it. ECE, consequently, is frequently described as unique and special (Moss, 2006; Penn, 2011). This works to define and distinguish the field while, simultaneously, insulating it from other contexts, professions, and ideas. Recognising this dualism illuminates some of the risks and challenges of operating in an insular and isolated fashion. In the 21st century, there are new challenges for children, families and societies to which ECE must respond if it is to continue to be relevant. One major issue is how ECE contributes to transition towards more sustainable ways of living. Addressing this contemporary social problem is one from which Early Childhood teacher education has been largely absent (Davis & Elliott, 2014), despite the well recognised but often ignored role of education in contributing to sustainability. Because of its complexity, sustainability is sometimes referred to as a ‘wicked problem’ (Rittel & Webber, 1973; Australian Public Service Commission, 2007) requiring alternatives to ‘business as usual’ problem solving approaches. In this chapter, we propose that addressing such problems alongside disciplines other than Education enables the Early Childhood profession to have its eyes opened to new ways of thinking about our work, potentially liberating us from the limitations of our “unique” and idiosyncratic professional cultures. In our chapter, we focus on understandings of culture and diversity, looking to broaden these by exploring the different ‘cultures’ of the specialist fields of ECE and Design (in this project, we worked with students studying Architecture, Industrial Design, Landscape Architecture and Interior Design). We define culture not as it is typically represented, i.e. in relation to ideas and customs of particular ethnic and language groups, but to the ideas and practices of people working in different disciplines and professions. We assert that different specialisms have their own ‘cultural’ practices. Further, we propose that this kind of theoretical work helps us to reconsider ways in which ECE might be reframed and broadened to meet new challenges such as sustainability and as yet unknown future challenges and possibilities. We explore these matters by turning to preservice Early Childhood teacher education (in Australia) as a context in which traditional views of culture and diversity might be reconstructed. We are looking to push our specialist knowledge boundaries and to extend both preservice teachers and academics beyond their comfort zones by engaging in innovative interdisciplinary learning and teaching. We describe a case study of preservice Early Childhood teachers and designers working in collaborative teams, intersecting with a ‘real-world’ business partner. The joint learning task was the design of an early learning centre based on sustainable design principles and in which early Education for Sustainability (EfS) would be embedded Data were collected via focus group and individual interviews with students in ECE and Design. Our findings suggest that interdisciplinary teaching and learning holds considerable potential in dismantling taken-for-granted cultural practices, such that professional roles and identities might be reimagined and reconfigured. We conclude the chapter with provocations challenging the ways in which culture and diversity in the field of ECE might be reconsidered within teacher education.

Critically deconstructing race through a multimodal analysis of iPad Tellagami videos

Drawing on multimodal texts produced by an Indigenous school community in Australia, I apply critical race theory and multimodal analysis (Jewitt, 2011) to decolonise digital heritage practices for Indigenous students. This study focuses on the particular ways in which students’ counter-narratives about race were embedded in multimodal and digital design in the development of a digital cultural heritage (Giaccardi, 2012). Data analysis involved applying multimodal analysis to the students’ Gamis, following social semiotic categories and principles theorised by Kress and Bezemer (2008), and Jewitt (2006, 2011). This includes attending to the following semiotic elements: visual design, movement and gesture, gaze, and recorded speech, and their interrelationships. The analysis also draws on critical race theory to interpret the students’ representations of race. In particular, the multimodal texts were analysed as a site for students’ views of Indigenous oppression in relation to the colonial powers and ownership of the land in Australian history (Ladson-Billings, 2009). Pedagogies that explore counter-narratives of cultural heritage in the official curriculum can encourage students to reframe their own racial identity, while challenging dominant white, historical narratives of colonial conquest, race, and power (Gutierrez, 2008). The children’s multimodal “Gami” videos, created with the iPad application, Tellagami, enabled the students to imagine hybrid, digital social identities and perspectives of Australian history that were tied to their Indigenous cultural heritage (Kamberelis, 2001).

MEG Adaptation resolves the spatiotemporal characteristics of face-sensitive brain responses

An unresolved goal in face perception is to identify brain areas involved in face processing and simultaneously understand the timing of their involvement. Currently, high spatial resolution imaging techniques identify the fusiform gyrus as subserving processing of invariant face features relating to identity. High temporal resolution imaging techniques localize an early latency evoked component—the N/M170—as having a major generator in the fusiform region; however, this evoked component is not believed to be associated with the processing of identity. To resolve this, we used novel magnetoencephalographic beamformer analyses to localize cortical regions in humans spatially with trial-by-trial activity that differentiated faces and objects and to interrogate their functional sensitivity by analyzing the effects of stimulus repetition. This demonstrated a temporal sequence of processing that provides category-level and then item-level invariance. The right fusiform gyrus showed adaptation to faces (not objects) at ∼150 ms after stimulus onset regardless of face identity; however, at the later latency of ∼200–300 ms, this area showed greater adaptation to repeated identity faces than to novel identities. This is consistent with an involvement of the fusiform region in both early and midlatency face-processing operations, with only the latter showing sensitivity to invariant face features relating to identity.

Shooting from the Wild Zone : A Study of the Chicana Art Photographers Laura Aguilar, Celia Álvarez Muñoz, Delilah Montoya, and Kathy Vargas

The dissertation analyzes and elaborates upon the changing map of U.S. ethno-racial formation from the vantage point of North American Studies, multi-disciplinary cultural studies, and the criticism of visual culture. The focus is on four contemporary Mexican American (Chicana) women photographers, whose art production is discussed, on the one hand, in the context of the Euro-American history of photographic genres and, on the other hand, in the context of so-called decolonizing cultural and academic discourses produced by Mexican Americans themselves. The manuscript consists of two parts. Part I outlines the theoretical and methodological domain of the study, positioning it in the interstices of American studies, European postmodern criticism, postcolonial feminist theory, and the theories of visual culture, particularly of art photography. In addition, the main issues and paradigms of Chicano Studies (Mexican American ethnic studies) are introduced. Part II consists of seven essays, each of which discusses rather independently a particular photographic work or a series of photographs, formulating and defending arguments about their meaning, position in the history of photographic genres, and their cultural and socio-political significance. The study closes with a discussion about ethno-racial identity formation and the role of Chicana photography therein - in embodying and reproducing new subjectivities, alternative categories of knowledge, and open ended historical narratives. It is argued that, symbolically, the "Wild Zone" of gendered and race-specific knowledge becomes associated with the body of the mother, a recurrent image in Chicana art works under discussion. Embedded in this image, the construction of an alternative notion of a family thus articulates the parameters of a matrifocal ethno-racial community unified by the proliferation of differences rather than by conformities typical of nationalistic ideologies. While focusing on art photography, the study as a whole simultaneously constructs, from a European vantage point, a "thick" description of Mexican American history, identities, communities, cultural practices, and self-representations about which very little is known in Finland.

Foucault, Weber, neoliberalism and the politics of governmentality

This paper argues that Michel Foucault’s lectures that form The Birth of Biopolitics owe a considerable debt to the thought of Max Weber, particularly in their analysis of how different socio-legal regimes shape distinctive national forms of capitalist economies, and the role that is played by social and economic institutions in the shaping of individual identities. This is in contrast to a common interpretation of Foucault’s account of neoliberalism, which synthesizes his work into neo-Marxist notions of hegemony and capitalist domination. It also identifies Foucault’s approach to neoliberalism as an exploratory one, which considers insights into how a particular relationship between ideas and institutional practices may help in imagining socialist forms of government practice.

Mapinduzi Daima – Revolution Forever : Using the 1964 Revolution in Nationalistic Political Discourses in Zanzibar

This Master's thesis examines two opposite nationalistic discourses on the revolution of Zanzibar. Chama cha Mapinduzi (CCM), the party in power since the 1964 revolution defends its revolutionary and "African" heritage in the current multi-party system. New nationalists, including among others the main opposition party Civic United Front (CUF), question both the 1964 revolution and the post-revolution period and blame CCM for empty promises, corruption and ethnic discrimination. This study analyzes the role of a significant historical event in the creation of nationalistic ideology and national identity. The 1964 revolution forms the nucleus of various debates related to the history of Zanzibar: slavery, colonialism, racial discrimination and political violence. Representations of these Social constructivist principles form the basis of this study, and central concepts in the theoretical framework are nationalism, national identity, ethnicity and race. I use critical discourse analysis as my research method, lean on the work by Teun A. van Dijk and Norman Fairclough as the most significant researchers in this field. I examine particularly the ways in which linguistic methods, such as stereotypes and metaphors are used to form in- and out-groups ("us" vs. "others"). My material, both in Swahili and English, was collected mainly in Tanzania in the fall of 2007 and from online sources in the spring of 2009. It includes publications by the Zanzibari government between the years of 1964-2000 (12), official speeches for the Revolution Day or the Union Day (12), articles from Tanzanian newspapers from the 1990s until the year of 2009 (15), memoirs and political pamphlets (10), blog posts and opinion pieces from four different websites (8), and interviews or personal communication in Zanzibar, Dar es Salaam and Uppsala (8). Nationalistic rhetoric often creates enemy images by using binary good-bad oppositions. Both discourses in this study build identities on the basis of "otherness" and exclusion, with the intent of emphasizing the particularity of the own group and excluding "evilness" outside the own reference group. These opposite views on the 1964 revolution as the main axis of the history of Zanzibar build different portraits of the nation and Zanzibari-ness (Uzanzibari). CCM still relies on the pre-revolutionary enemy images of Arabs as selfish rulers and cruel slave traders. For CCM, Zanzibar is primarily an "African" nation and a part of Tanzania which is threatened by "Arabs", the outsiders. In contrast, the new nationalists stress the long history of Zanzibar as multi-racial, cosmopolitan and formerly independent country which has its own, separate culture and identity from mainland Tanzanians. Heshima, honour/respect, one of the basic values of Swahili culture, occupies a central role in both discourses: the main party emphasizes that the revolution returned "heshima" to the Zanzibari Africans after centuries of humiliation, whereas the new nationalists claim that ever since the revolution all "non-Africans" have been humiliated and lost their "heshima". According to the new nationalists, true Zanzibari values which include tolerance and harmony between different "races" were lost when the "foreign" revolutionaries arrived from the mainland. Consequently, they see the 1964 revolution as Tanganyikan colonialism which began with the help of Western countries, and maintain that this "colonialism" still continues in the violent multi-party elections.

The Unable Individual : The Actantial Analyses of Three Chinese Films and Discussion on Their Representations of the Individual’s Position in Contemporary Chinese Society

The thesis studies three contemporary Chinese films, Incense (Xianghuo 2003), Beijing Bicycle (Shiqi sui de danche, 2001), and South of the Clouds (Yun de nanfang, 2004). The aim of the thesis is to find out how these films represent the individual, his relationships with others, and his possibilities in society. The films all portray a male individual setting out to pursue a goal, facing one obstacle after the other in the process, and in the end failing to achieve his goal. The other characters in the films are also primarily either unable or unwilling to help the lead character. In the thesis these features of the films are analysed by applying A.J. Greimas’s structuralist semiotic theory about the actantial structure of discourses. The questions about the individual’s position are answered by defining which instances in the films actually represent the actantial positions of the sender, receiver, subject, object, helper and opponent. The results of the actantial analyses of the three films are further discussed in the light of theories regarding individualization. The focus is on the theories of Ulrich Beck, Elisabeth Beck-Gernsheim and Zygmunt Bauman, who see a development towards individualization in societies following the disintegration of traditional social structures. For the most part, these theories do seem to be applicable to the films’ representations of the individual’s position, especially regarding the increased responsibility of the individual. For example, the position of the family is represented as either insignificant or negative in all of the films, which fits with the description of the individualized society, contradicting the idea of traditional Chinese society. On the other hand, the identities and goals of the characters in the films are not represented as fragmented in the way the theories would suggest.

Mesh-free approximations via the error reproducing kernel method and applications to nonlinear systems developing shocks

Error estimates for the error reproducing kernel method (ERKM) are provided. The ERKM is a mesh-free functional approximation scheme [A. Shaw, D. Roy, A NURBS-based error reproducing kernel method with applications in solid mechanics, Computational Mechanics (2006), to appear (available online)], wherein a targeted function and its derivatives are first approximated via non-uniform rational B-splines (NURBS) basis function. Errors in the NURBS approximation are then reproduced via a family of non-NURBS basis functions, constructed using a polynomial reproduction condition, and added to the NURBS approximation of the function obtained in the first step. In addition to the derivation of error estimates, convergence studies are undertaken for a couple of test boundary value problems with known exact solutions. The ERKM is next applied to a one-dimensional Burgers equation where, time evolution leads to a breakdown of the continuous solution and the appearance of a shock. Many available mesh-free schemes appear to be unable to capture this shock without numerical instability. However, given that any desired order of continuity is achievable through NURBS approximations, the ERKM can even accurately approximate functions with discontinuous derivatives. Moreover, due to the variation diminishing property of NURBS, it has advantages in representing sharp changes in gradients. This paper is focused on demonstrating this ability of ERKM via some numerical examples. Comparisons of some of the results with those via the standard form of the reproducing kernel particle method (RKPM) demonstrate the relative numerical advantages and accuracy of the ERKM.

Empire, Tourism, Nostalgia: Joseph Brodsky and Travel Writing

Joseph Brodsky, one of the most influential Russian intellectuals of the late Soviet period, was born in Leningrad in 1940, emigrated to the United States in 1972, received the Nobel Prize for Literature in 1987, and died in New York City in 1996. Brodsky was one of the leading public figures of Soviet emigration in the Cold War period, and his role as a model for the constructing of Russian cultural identities in the last years of the Soviet Union was, and still is, extremely important. One of Joseph Brodsky’s great contributions to Russian culture of the latter half of the twentieth century is the wide geographical scope of his poetic and prose works. Brodsky was not a travel writer, but he was a traveling writer who wrote a considerable number of poems and essays which relate to his trips and travels in the Soviet empire and outside it. Travel writing offered for Brodsky a discursive space for negotiating his own transculturation, while it also offered him a discursive space for making powerful statements about displacement, culture, history and geography, time and space—all major themes of his poetry. In this study of Joseph Brodsky’s travel writing I focus on his travel texts in poetry and prose, which relate to his post-1972 trips to Mexico, Brazil, Turkey, and Venice. Questions of empire, tourism, and nostalgia are foregrounded in one way or another in Brodsky’s travel writing performed in emigration. I explore these concepts through the study of tropes, strategies of identity construction, and the politics of representation. The theoretical premises of my work draw on the literary and cultural criticism which has evolved around the study of travel and travel writing in recent years. These approaches have gained much from the scholarly experience provided by postcolonial critique. Shifting the focus away from the concept of exile, the traditional framework for scholarly discussions of Brodsky’s works, I propose to review Brodsky’s travel poetry and prose as a response not only to his exilic condition but to the postmodern and postcolonial landscape, which initially shaped the writing of these texts. Discussing Brodsky’s travel writing in this context offers previously unexplored perspectives for analyzing the geopolitical, philosophical, and linguistic premises of his poetic imagination. By situating Brodsky’s travel writing in the geopolitical landscape of postcolonial postmodernity, I attempt to show how Brodsky’s engagement with his contemporary cultural practices in the West was incorporated into his Russian-language travel poetry and prose and how this engagement thus contributed to these texts’ status as exceptional and unique literary events within late Soviet Russian cultural practices.

Approximate solutions of Fredholm integral equations of the second kind

This note is concerned with the problem of determining approximate solutions of Fredholm integral equations of the second kind. Approximating the solution of a given integral equation by means of a polynomial, an over-determined system of linear algebraic equations is obtained involving the unknown coefficients, which is finally solved by using the least-squares method. Several examples are examined in detail. (c) 2009 Elsevier Inc. All rights reserved.

Turning the Kaleidoscope - (E)FL Educational Experience and Inquiry as Auto/biography

This book is a study on learning, teaching/counselling, and research on the two. My quest has been to find a pedagogically-motivated way of researching learning and teaching interaction, and in particular counselling, in an autonomous language-learning environment. I have tried to develop a method that would make room for lived experience, meaning-making and narrating, because in my view these all characterise learning encounters between language learners and counsellors, and learners and their peers. Lived experience as a source of meaning, telling and co-telling becomes especially significant when we try to listen to the diverse personal and academic voices of the past as expressed in autobiographical narratives. I have aimed at researching various ALMS dialogues (Autonomous Learning Modules, University of Helsinki Language Centre English course and programme), and autobiographical narratives within them, in a way that shows respect for the participants, and that is relevant, reflective and, most importantly, self-reflexive. My interest has been in autobiographical telling in (E)FL [(English as a) foreign language], both in students first-person written texts on their language- learning histories and in the sharing of stories between learners and a counsellor. I have turned to narrative inquiry in my quest and have written the thesis as an experiential narrative. In particular, I have studied learners and counsellors in one and the same story, as characters in one narrative, in an attempt to avoid the impression that I am telling yet another separate, anecdotal story, retrospectively. Through narrative, I have shed light on the subjective dimensions of language learning and experience, and have come closer to understanding the emotional aspects of learning encounters. I have questioned and rejected a distanced and objective approach to describing learning and teaching/counselling. I have argued for a holistic and experiential approach to (E)FL encounters in which there is a need to see emotion and cognition as intertwined, and thus to appreciate learners and counsellors emotionally-charged experiences as integral to their identities. I have also argued for a way of describing such encounters as they are situated in history, time, autobiography, and the learning context. I have turned my gaze on various constellations of lived experience: the data was collected on various occasions and in various settings during one course and consists of videotaped group sessions, individual counselling sessions between students and their group counsellor, biographic narrative interviews with myself, open-ended personally-inspired reflection texts written by the students about their language-learning histories, and student logs and diaries. I do not consider data collection an unproblematic occasion, or innocent practice, and I defend the integrity of the research process. Research writing cannot be separated from narrative field work and analysing and interpreting the data. The foci in my work have turned to be the following: 1) describing ALMS encounters and specifying their narrative aspects; 2) reconceptualising learner and teacher autonomy in ALMS and in (E)FL; 2) developing (E)FL methodologically through a teacher-researcher s identity work; 4) research writing as a dialogical narrative process, and the thesis as an experiential narrative. Identity and writing as inquiry, and the deeply narrative and autobiographical nature of the (E)FL teaching/counselling/researching have come to the fore in this research. Research writing as a relational activity and its implications for situated ways of knowing and knowledge turned out to be important foci. I have also focussed on the context-bound and local teacher knowledge and ways of knowing about being a teacher, and I have argued for personal ways of knowing about, and learning and studying foreign languages. I discuss research as auto/biography: as a practising counsellor I use my own life and (E)FL experience to understand and interpret the stories of the research participants even though I was not involved in their course work. The supposedly static binaries of learner/teacher, and also learner autonomy/teacher autonomy, are thus brought into the discussion. I have highlighted the infinite variability and ever-changing nature of learning and teaching English, but the book is also of relevance to foreign language education in general.

What counts as English in the internationalised Australian university: Implications for teaching and learning

English is currently ascendant as the language of globalisation, evident in its mediation of interactions and transactions worldwide. For many international students, completion of a degree in English means significant credentialing and increased job prospects. Australian universities are the third largest English-speaking destination for overseas students behind the United States and the United Kingdom. International students comprise one-fifth of the total Australian university population, with 80% coming from Asian countries (ABS, 2010). In this competitive higher education market, English has been identified as a valued ‘good’. Indeed, universities have been critiqued for relentlessly reproducing the “hegemony and homogeneity of English” (Marginson, 2006, p. 37) in order to sustain their advantage in the education market. For international students, English is the gatekeeper to enrolment, the medium of instruction and the mediator of academic success. For these reasons, English is not benign, yet it remains largely taken-for-granted in the mainstream university context. This paper problematises the naturalness of English and reports on a study of an Australian Master of Education course in which English was a focus. The study investigated representations of English as they were articulated across a chain of texts including the university strategic plan, course assessment criteria, student assignments, lecturer feedback, and interviews. Critical Discourse Analysis (CDA) and Foucault’s work on discourse enabled understandings of how a particular English is formed through an apparatus of specifications, exclusionary thresholds, strategies for maintenance (and disruption), and privileged concepts and speaking positions. The findings indicate that English has hegemonic status within the Australian university, with material consequences for students whose proficiency falls outside the thresholds of accepted English practice. Central to the constitution of what counts as English is the relationship of equivalence between standard written English and successful academic writing. International students’ representations of English indicate a discourse that impacts on identities and practices and preoccupies them considerably as they negotiate language and task demands. For the lecturer, there is strategic manoeuvring within the institutional regulative regime to support students’ English language needs using adapted assessment practices, explicit teaching of academic genres and scaffolded classroom interaction. The paper concludes with the implications for university teaching and learning.