Not so private lives

Not So Private Lives is the first national study to examine same-sex attracted Australians’ preferences for various forms of relationship recognition since the introduction of de facto status for same-sex couples at a federal level. It is also the first major study to investigate preferences for relationship recognition while taking into account the current legal status (in Australia or overseas) of an individual’s same-sex relationship. Findings from the relationship recognition measures of this survey demonstrate that same-sex attracted individuals, like other Australians, differ in the way they prefer their relationships to be formally recognised. However, the results show that the majority of same-sex attracted participants in this survey selected marriage as their personal choice. A federally recognised relationship documented at a registry other than marriage was the second most popular option, and de facto status was the third. The preference for a relationship without any legal status was selected by only 3% of the overall sample. Interestingly, marriage was still the majority choice irrespective of the current legal status of participants’ same-sex relationships (including no legal status). For example, of those currently in a de facto relationship, 55.4% stated they preferred marriage for themselves, 25.6% stated that they preferred a federally recognised relationship other than marriage, 17.7% selected de facto and 1.3% chose no legal status. Participants were also given the opportunity to select which forms of legal relationship recognition they would like to see remain and/or become available in this country for same-sex couples in general. Responses to this measure (which allowed for multiple selections) show that 77.4% would like to see marriage become available as an option, 59.9% would like to see a federally recognised relationship other than marriage be made available and 48% would like to see de facto recognition remain. These numbers indicate that many participants selected multiple options, suggesting that simply having a choice was an important factor. Although the data from this survey indicate that marriage is not for everyone, the majority of same- sex attracted participants in this national survey selected this type of relationship recognition as their personal choice and as a choice to be made available for their fellow same-sex attracted Australians

Elliptic logarithms, diophantine approximation and the Birch and Swinnerton-Dyer conjecture

Most, if not all, unconditional results towards the abc-conjecture rely ultimately on classical Baker's method. In this article, we turn our attention to its elliptic analogue. Using the elliptic Baker's method, we have recently obtained a new upper bound for the height of the S-integral points on an elliptic curve. This bound depends on some parameters related to the Mordell-Weil group of the curve. We deduce here a bound relying on the conjecture of Birch and Swinnerton-Dyer, involving classical, more manageable quantities. We then study which abc-type inequality over number fields could be derived from this elliptic approach.Comment: 20 pages. Some changes, the most important being on Conjecture 3.2, three references added ([Mas75], [MB90] and [Yu94]) and one reference updated [BS12]. Accepted in Bull. Brazil. Mat. So

Correlation Functions for Diffusion-Limited Annihilation, A + A -> 0

The full hierarchy of multiple-point correlation functions for diffusion-limited annihilation, A + A -> 0, is obtained analytically and explicitly, following the method of intervals. In the long time asymptotic limit, the correlation functions of annihilation are identical to those of coalescence, A + A -> A, despite differences between the two models in other statistical measures, such as the interparticle distribution function

Zero estimates on group varieties II

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46615/1/222_2005_Article_BF01388605.pd

Reaction Front in an A+B -> C Reaction-Subdiffusion Process

We study the reaction front for the process A+B -> C in which the reagents move subdiffusively. Our theoretical description is based on a fractional reaction-subdiffusion equation in which both the motion and the reaction terms are affected by the subdiffusive character of the process. We design numerical simulations to check our theoretical results, describing the simulations in some detail because the rules necessarily differ in important respects from those used in diffusive processes. Comparisons between theory and simulations are on the whole favorable, with the most difficult quantities to capture being those that involve very small numbers of particles. In particular, we analyze the total number of product particles, the width of the depletion zone, the production profile of product and its width, as well as the reactant concentrations at the center of the reaction zone, all as a function of time. We also analyze the shape of the product profile as a function of time, in particular its unusual behavior at the center of the reaction zone

Australian Perspectives on Opt-In and Opt-Out Consent Systems for Deceased Organ Donation

Introduction: As many countries change to opt-out systems to address organ shortages, calls for similar reform in Australia persist. Community perspectives on consent systems for donation remain under-researched, therefore Australian perspectives on consent systems and their effectiveness in increasing donation rates were explored. Design: In this descriptive cross-sectional study, participants completed a survey presenting opt-in, soft opt-out, and hard opt-out systems, with corresponding descriptions. Participants chose the system they perceived as most effective and described their reasoning. Results: Participants (N = 509) designated soft opt-out as the most effective system (52.3%; hard opt-out 33.7%; opt-in 13.7%). Those who identified with an ethnic/cultural group or were not registered had greater odds of choosing opt-out. Six themes identified in thematic analysis reflected their reasoning: 1) who decides (individual, shared decision with family); 2) right to choose; 3) acceptability (ethics, fairness); and utility in overcoming barriers for 4) individuals (apathy, awareness, ease of donating, fear/avoidance of death); 5) family (easier family experience, family veto); 6) society (normalising donation, donation as default, expanding donor pool). Choice and overcoming individual barriers were more frequently endorsed themes for opt-in and opt-out, respectively. Discussion: Results suggested the following insights regarding system effectiveness: uphold/prioritise individual’s recorded donation decision above family wishes; involve family in decision-making if no donation preference is recorded; retain a register enabling opt-in and opt-out for unequivocal decisions and promoting individual control; and maximise ease of registering. Future research should establish whether systems considered effective are also acceptable to the community to address organ shortages

Lattice Kinetics of Diffusion-Limited Coalescence and Annihilation with Sources

We study the 1D kinetics of diffusion-limited coalescence and annihilation with back reactions and different kinds of particle input. By considering the changes in occupation and parity of a given interval, we derive sets of hierarchical equations from which exact expressions for the lattice coverage and the particle concentration can be obtained. We compare the mean-field approximation and the continuum approximation to the exact solutions and we discuss their regime of validity.Comment: 24 pages and 3 eps figures, Revtex, accepted for publication in J. Phys.

Autonomous models solvable through the full interval method

The most general exclusion single species one dimensional reaction-diffusion models with nearest-neighbor interactions which are both autonomous and can be solved exactly through full interval method are introduced. Using a generating function method, the general solution for, $F_n$, the probability that $n$ consecutive sites be full, is obtained. Some other correlation functions of number operators at nonadjacent sites are also explicitly obtained. It is shown that for a special choice of initial conditions some correlation functions of number operators called full intervals remain uncorrelated

Phase transition in an asymmetric generalization of the zero-temperature q-state Potts model

An asymmetric generalization of the zero-temperature q-state Potts model on a one dimensional lattice, with and without boundaries, has been studied. The dynamics of the particle number, and specially the large time behavior of the system has been analyzed. In the thermodynamic limit, the system exhibits two kinds of phase transitions, a static and a dynamic phase transition.Comment: 11 pages, LaTeX2