Asymptotic and structural properties of special cases of the Wright function arising in probability theory

This analysis paper presents previously unknown properties of some special cases of the Wright function whose consideration is necessitated by our work on probability theory and the theory of stochastic processes. Specifically, we establish new asymptotic properties of the particular Wright function 1Ψ1(ρ, k; ρ, 0; x) = X∞ n=0 Γ(k + ρn) Γ(ρn) x n n! (|x| < ∞) when the parameter ρ ∈ (−1, 0)∪(0, ∞) and the argument x is real. In the probability theory applications, which are focused on studies of the Poisson-Tweedie mixtures, the parameter k is a non-negative integer. Several representations involving well-known special functions are given for certain particular values of ρ. The asymptotics of 1Ψ1(ρ, k; ρ, 0; x) are obtained under numerous assumptions on the behavior of the arguments k and x when the parameter ρ is both positive and negative. We also provide some integral representations and structural properties involving the ‘reduced’ Wright function 0Ψ1(−−; ρ, 0; x) with ρ ∈ (−1, 0) ∪ (0, ∞), which might be useful for the derivation of new properties of members of the power-variance family of distributions. Some of these imply a reflection principle that connects the functions 0Ψ1(−−;±ρ, 0; ·) and certain Bessel functions. Several asymptotic relationships for both particular cases of this function are also given. A few of these follow under additional constraints from probability theory results which, although previously available, were unknown to analysts.

Party 25

Party 25 involved the conception and public launch of a radically new form of political party during that year’s Australian general election. The entire project was also intentioned as a conceptual artwork. Party 25 avoided conventional party-political approaches and was neither a protest group nor an advocacy organisation, but rather a new form of political association that confronted what we understood as the debilitating limits and impotence of contemporary parliamentary democracies in transitioning our societies towards ecological sustainability.----- Party 25 was based on responding to one fundamental question which all of its policies served - “how does humanity get to the 25th century?” By basing itself on a dramatically long-term approach uncommon within conventional politics it raised the proposition that humanity does not have an assured future. Party25 therefore shaped its agendas around the idea that any future now lies in human hands and so how humanity treats the ecologies on which it depends innately determines the quality of the inseparable relationship between its being, and the being of the biophysical world.----- The project was conceived through a number of discussion papers, workshops and creative works and was launched publicly at the Judith Wright Centre Brisbane accompanied by a full length showing of evocative imagery, text and sound, a series of speeches and the launch of a succinct web presence. Through the website and this party launch a community of interested participants and creative practitioners was sought who then would form the basis of a nascent community of change.

Chasing reporters : Infotainment, intertextuality and media satire

The Chaser’s War on Everything is a night time entertainment program which screened on Australia’s public broadcaster, the ABC in 2006 and 2007. This enormously successful comedy show managed to generate a lot of controversy in its short lifespan (see, for example, Dennehy, 2007; Dubecki, 2007; McLean, 2007; Wright, 2007), but also drew much praise for its satirising of, and commentary on, topical issues. Through interviews with the program’s producers, qualitative audience research and textual analysis, this paper will focus on this show’s media satire, and the segment ‘What Have We Learned From Current Affairs This Week?’ in particular. Viewed as a form of ‘Critical Intertextuality’ (Gray, 2006), this segment (which offered a humorous critique of the ways in which news and current affairs are presented elsewhere on television) may equip citizens with a better understanding of the new genre’s production methods, thus producing a higher level of public media literacy. This paper argues that through its media satire, The Chaser acts not as a traditional news program would in informing the public with new information, but as a text which can inform and shape our understanding of news that already exists within the public sphere. Humorous analyses and critiques of the media (like those analysed in this paper), are in fact very important forms of infotainment, because they can provide “other, ‘improper,’ and yet more media literate and savvy interpretations” (Gray, 2006, p. 4) of the news.

ARCS collaboration tools

The Australian Research Collaboration Service (ARCS) has been supporting a wide range of Collaboration Services and Tools which have been allowing researchers, groups and research communities to share ideas and collaborate across organisational boundaries.----- This talk will give an introduction to a number of exciting technologies which are now available. Focus will be on two main areas of Video Collaboration Tools, allowing researchers to talk face-to-face and share data in real-time, and Web Collaboration Tools, allowing researchers to share information and ideas with other like-minded researchers irrespective of distance or organisational structure. A number of examples will also be shown of how these technologies have been used with in various research communities.----- A brief introduction will be given to a number of services which ARCS is now operating and/or supporting such as:--- * EVO – A video conferencing application, which is particularly suited to desktop or low bandwidth applications.--- * AccessGrid – An open source video conferencing and collaboration tool kit, which is great for room to room meetings.--- * Sakai – An online collaboration and learning environment, support teaching and learning, ad hoc group collaboration, support for portfolios and research collaboration.--- * Plone – A ready-to-run content management system, that provides you with a system for managing web content that is ideal for project groups, communities, web sites, extranets and intranets.--- * Wikis – A way to easily create, edit, and link pages together, to create collaborative websites.