Birth-death processes with mass annihilation and state-dependent immigration

A birth-death process is subject to mass annihilation at rate β with subsequent mass immigration occurring into state j at rateα j . This structure enables the process to jump from one sector of state space to another one (via state 0) with transition rate independent of population size. First, we highlight the difficulties encountered when using standard techniques to construct both time-dependent and equilibrium probabilities. Then we show how to overcome such analytic difficulties by means of a tool developed in Chen and Renshaw (1990, 1993b); this approach is applicable to many processes whose underlying generator on E\{0} has known probability structure. Here we demonstrate the technique through application to the linear birth-death generator on which is superimposed an annihilation/immigration process.

An ontological characterization of time-series and state-sequences for data mining

Time-series and sequences are important patterns in data mining. Based on an ontology of time-elements, this paper presents a formal characterization of time-series and state-sequences, where a state denotes a collection of data whose validation is dependent on time. While a time-series is formalized as a vector of time-elements temporally ordered one after another, a state-sequence is denoted as a list of states correspondingly ordered by a time-series. In general, a time-series and a state-sequence can be incomplete in various ways. This leads to the distinction between complete and incomplete time-series, and between complete and incomplete state-sequences, which allows the expression of both absolute and relative temporal knowledge in data mining.

Postcolonial futures: postcolonial literature and the Obama moment

In an analysis of President Obama's Acceptance Speech, this article argues that postcolonial theory is now being re-formulated for a global, transnational sensibility.

Literature and the shaman: Jung, trauma stories and new origin stories in The Lion, the witch and the wardrobe by C.S. Lewis

The paper first considers the role of Jungian ideas in relation to academic disciplines and to literary studies in particular. Jung is a significant resource in negotiating developments in literary theory because of his characteristic treatment of the ‘other’. The paper then looks at The Lion, the Witch and the Wardrobe (1950) by C.S. Lewis whose own construction of archetypes is very close to Jung’s. By drawing upon new post-Jungian work from Jerome Bernstein’s Living in the Borderland (2005), the novel is revealed to be intimately concerned with narratives of trauma and of origin. Indeed, a Jungian and post-Jungian approach is able to situate the text both within nature and in the historical traumas of war as well as the personal traumas of subjectivity. Where Bernstein connects his work to the postcolonial ethos of the modern Navajo shaman, this new weaving of literary and cultural theory points to the residue of shamanism within the arts of the West. [From the Publisher]

Postcolonial futures: postcolonial literature and the Obama moment

Since the late 1970s the western academy has encouraged the development of postcolonial literary theory and the formulation of a postcolonial literary canon existing outside the prescriptive narratives of the ‘mother’ country and empire. Having lost faith in the binary oppositions underpinning such narratives, we turned to alternative fictions that contested the construction of the ‘other’, the world divided between the ‘West and the Rest’. The publication of Edward Said’s Orientalism in 1978 marked the beginning of the discipline now known as postcolonial studies with its new ways of understanding ‘the west’s’ relationship with ‘the east’ and, by extension, all the former colonies of empire. Despite these radical origins, however, postcolonialism’s more recent emphasis on the psychological and its affirmation of the hybrid text and self has, for many, served to obscure real economic social realities that have very little to do with the magical or wondrous textual expression of a postcolonial identity. This paper considers problems associated with defining the postcolonial and proposes that, in a literary context, we broaden its meaning to include texts traditionally outside the category of postcolonial literature. To extend the meaning of postcolonial is timely as we are now witnessing its relocation from ‘margin’ to ‘centre’ with the election of Barack Obama. This moment may be seen as a disruption of conventional understandings of what constitutes postcolonial literature, essentially as oppositional discourse that could only define itself as peripheral to, or ‘post’, metropolitan and economic concerns. [From the Author]

Discourse and soul: Jung, literature, science and tragedy as mythical writing

This paper will propose that literature and science, far from being discrete spheres of cultural activity, are, in fact, the cultural expressions of interlocking myths. They therefore overlap and even take each other’s places, as examination of the ‘science’ of C.G. Jung and the ‘art’ of a writer such as John Cowper Powys, will show. ‘Dis-course’, I argue, is the material aspect of the mythical structuring of psychic experience. In the work of Jung and Powys, discourse is the articulation of the soul in the world that spans personal, social, natural and cosmic space. [From the Author]