Existence, uniqueness and constructions for stochastically monotone Q-processes

The key problems in discussing duality and monotonicity for continuous-time Markov chains are to find conditions for existence and uniqueness and then to construct corresponding processes in terms of infinitesimal characteristics, i.e., q-matrices. Such problems are solved in this paper under the assumption that the given q-matrix is conservative. Some general properties of stochastically monotone Q-process ( Q is not necessarily conservative) are also discussed.

[Review] M. Feistauer, J. Felcman, I. Straskbraba, Mathematical and Computational Methods for Compressible Flow, Oxford Science Publication, Oxford, ISBN 0198505884, 2004 (535pp.)

The growth of computer power allows the solution of complex problems related to compressible flow, which is an important class of problems in modern day CFD. Over the last 15 years or so, many review works on CFD have been published. This book concerns both mathematical and numerical methods for compressible flow. In particular, it provides a clear cut introduction as well as in depth treatment of modern numerical methods in CFD. This book is organised in two parts. The first part consists of Chapters 1 and 2, and is mainly devoted to theoretical discussions and results. Chapter 1 concerns fundamental physical concepts and theoretical results in gas dynamics. Chapter 2 describes the basic mathematical theory of compressible flow using the inviscid Euler equations and the viscous Navier–Stokes equations. Existence and uniqueness results are also included. The second part consists of modern numerical methods for the Euler and Navier–Stokes equations. Chapter 3 is devoted entirely to the finite volume method for the numerical solution of the Euler equations and covers fundamental concepts such as order of numerical schemes, stability and high-order schemes. The finite volume method is illustrated for 1-D as well as multidimensional Euler equations. Chapter 4 covers the theory of the finite element method and its application to compressible flow. A section is devoted to the combined finite volume–finite element method, and its background theory is also included. Throughout the book numerous examples have been included to demonstrate the numerical methods. The book provides a good insight into the numerical schemes, theoretical analysis, and validation of test problems. It is a very useful reference for applied mathematicians, numerical analysts, and practice engineers. It is also an important reference for postgraduate researchers in the field of scientific computing and CFD.

Stochastic monotonicity and duality for continuous time Markov chains with general q-Matrix

The key problems in discussing stochastic monotonicity and duality for continuous time Markov chains are to give the criteria for existence and uniqueness and to construct the associated monotone processes in terms of their infinitesimal q -matrices. In their recent paper, Chen and Zhang [6] discussed these problems under the condition that the given q-matrix Q is conservative. The aim of this paper is to generalize their results to a more general case, i.e., the given q-matrix Q is not necessarily conservative. New problems arise 'in removing the conservative assumption. The existence and uniqueness criteria for this general case are given in this paper. Another important problem, the construction of all stochastically monotone Q-processes, is also considered.

C. G. Jung and literary theory: the challenge from fiction

C.G. Jung and Literary Theory remedies a significant omission in literary studies by doing for Jung and poststructuralist literary theories what has been done extensively for Freud, Lacan and post-Freudian psychoanalysis. This work represents a complete departure from traditional Jungian literary criticism. Instead, radically new Jungian literary theories are developed of deconstruction, feminist theory, gender and psyche, the body and sexuality, spirituality, postcolonialism, historicism and reader-response. As well as linking Jung to the work of Derrida, Kristeva and Irigaray, the book traces contentious occult, cultural and political narratives in Jung's career. It contains a chapter on Jung and fascism in a literary context. [From the Publisher]

Research supervision and psychotherapeutic theory: bridging the research-practice-gap

Research supervision in the field of counselling and psychotherapy is a fruitful area for investigation in view of the fact that the research supervisory relationship is powerful and highly charged, whether consciously acknowledged or not. Researchers trained as counsellors and psychotherapists possess the skills to facilitate the emergence of, and work creatively with, impasses and crises, both in the research itself and the supervisory relationship, as a result of their training and experience in dealing with crisis and catharsis in clinical work. This paper will demonstrate these points using a case vignette from my work as a supervisor of research dissertations undertaken by students on a Masters in Therapeutic Counselling course. Drawing on narrative analysis, clinical supervision theory and discursive analysis it will look at the strengths and weaknesses of a 'psychotherapeutic' approach to research supervision.

Existence, recurrence and equilibrium properties of Markov branching processes with instantaneous immigration

Attention has recently focussed on stochastic population processes that can undergo total annihilation followed by immigration into state j at rate αj. The investigation of such models, called Markov branching processes with instantaneous immigration (MBPII), involves the study of existence and recurrence properties. However, results developed to date are generally opaque, and so the primary motivation of this paper is to construct conditions that are far easier to apply in practice. These turn out to be identical to the conditions for positive recurrence, which are very easy to check. We obtain, as a consequence, the surprising result that any MBPII that exists is ergodic, and so must possess an equilibrium distribution. These results are then extended to more general MBPII, and we show how to construct the associated equilibrium distributions.

Film and literature in the legal classroom

The way in which law and lawyers are portrayed in popular film and literature is a fascinating subject not only for the social scientist but, more importantly, the lawyer and law student. Increasingly in law schools, films and classic literature with a legal theme are being used to identify various aspects of legal activity ranging from legal practice (i.e. intrinsic lawyer skills including legal argument, negotiation and advocacy) to various aspects of the legal process (e.g. the function of the judge and jury) as well as important elements of legal and ethical theory. This article focuses on the Law Through Film and Literature option which is offered to law students in the final year of their LLB (Hons) degree at Greenwich. The aim is to show how law-related film and literature can be a useful tool in the legal classroom, as well as providing some insights into how students have responded and developed as a result of their experiences on the course.

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]

Ghost and self: Jung's paradigm shift and a response to Zinkin

Zinkin's lucid challenge to Jung makes perfect sense. Indeed, it is the implications of this `making sense' that this paper addresses. For Zinkin's characterization of the `self' takes it as a `concept' requiring coherence; a variety of abstract non-contextual knowledge that itself has a mythical heritage. Moreover, Zinkin's refinement of Jung seeks to make his work fit for the scientific paradigm of modernity. In turn, modernity's paradigm owes much to Newton's notion of knowledge via reductionism. Here knowledge or investigation is divided up into the smallest possible units with the aim of eventually putting it all together into `one' picture of scientific truth. Unfortunately, `reductionism' does not do justice to the resonant possibilities of Jung's writing. These look forward to a new scientific paradigm of the twenty-first century, of the interactive `field', emergence and complexity theory. The paper works paradoxically by discovering Zinkin's `intersubjective self' after all, in two undervalued narratives by Jung, his doctoral thesis and a short late ghost story. However, in the ambivalences and radical fictional experimentation of these fascinating texts can be discerned an-Other self, one both created and found. [From the Publisher]

Female frequent internet gamblers: a qualitative study of their gambling, its impact and their views on treatment and policy

Aims: to study the gambling history and stories of participants, motivations, impact and helpseeking. Method: Details were advertised on websites and newspapers. 30 frequent gamblers were interviewed over the telephone for approximately one hour. Verbatim transcriptions were analysed using NVIVO and grounded theory. Results/conclusions: Not all women had gambled before. However, internet accessibility meant prolonged periods were spent gambling to the neglect of other life areas. Some were originally motivated by excitement but others gambled to escape from current difficulties. Depression, anxiety, panic attacks and suicide ideation were common. The women were ambivalent towards their gambling and receiving help.

Violence and aggression in the emergency department: factors impinging on nursing research

This paper examines issues involved in the debate regarding the role of research in nursing. The authors take the example of violence and aggression in the emergency field to discuss methodological, philosophical, professional, logistical, power differentials and leadership theory that influence and explain the process of conducting research surrounding violence and aggression experienced by nurses working in emergency departments. The paper examines the importance of research and discusses practical issues that impinge or frustrate clinical nursing staff who wish to conduct original research.