The moduli space of germs of generic families of analytic diffeomorphisms unfolding a parabolic fixed point

In this paper we describe the moduli space of germs of generic families of analytic diffeomorphisms which unfold a parabolic fixed point of codimension 1. In [MRR] (and also [R]), it was shown that the Ecalle-Voronin modulus can be unfolded to give a complete modulus for such germs. The modulus is defined on a ramified sector in the canonical perturbation parameter \eps. As in the case of the Ecalle-Voronin modulus, the modulus is defined up to a linear scaling depending only on \eps. Here, we characterize the moduli space for such unfoldings by finding the compatibility conditions on the modulus which are necessary and sufficient for realization as the modulus of an unfolding. The compatibility condition is obtained by considering the region of sectorial overlap in \eps-space. This lies in the Glutsyuk sector where the two fixed points are hyperbolic and connected by the orbits of the diffeomorphism. In this region we have two representatives of the modulus which describe the same dynamics. We identify the necessary compatibility condition between these two representatives by comparing them both with their common Glutsyuk modulus. The compatibility condition implies the existence of a linear scaling for which the modulus is 1/2-summable in \eps, whose direction of non-summability coincides with the direction of real multipliers at the fixed points. Conversely, we show that the compatibility condition (which implies the summability property) is sufficient to realize the modulus as coming from an analytic unfolding, thus giving a complete description of the space of moduli.Comment: 48 page

The Diffusion of Cattle Ranching and Deforestation – Prospects for a Hollow Frontier in Mexico’s Yucatán

This article investigates the behavioral drivers of pasture creation and associated implications for deforestation in a 22,000 km2 agricultural frontier spanning the base of Mexico‘s southern Yucatán. After developing a theoretical model that highlights the role of social networks and information spillovers with respect to the decision to begin cattle ranching, we use household data to estimate an econometric duration model of the determinants of pasture creation. Although pasture fi ts well with the typical household‘s resource constraints, its continued expansion contributes to a hollow frontier dynamic in which the spread of low-value cattle ranching coincides with decreasing population.Pasture creation; information spillovers; duration analysis; farm households; Mexico

A Reference Interpreter for the Graph Programming Language GP 2

GP 2 is an experimental programming language for computing by graph transformation. An initial interpreter for GP 2, written in the functional language Haskell, provides a concise and simply structured reference implementation. Despite its simplicity, the performance of the interpreter is sufficient for the comparative investigation of a range of test programs. It also provides a platform for the development of more sophisticated implementations.Comment: In Proceedings GaM 2015, arXiv:1504.0244

Reasons for adopting different capacity levels in the denominator of overhead rates: a research note

There has been criticism of the use of budgeted capacity as the denominator of overhead rates. Prior questionnaire-based research has analysed which type of capacity is used in the denominator of overhead rates, but it has not assessed why these capacity levels are used. This paper uses grounded theory techniques to analyse 50 interviews with British management accountants about why a particular capacity level is used to determine the denominator of overhead rates. The results reveal that budgeted capacity is used because the calculation of the denominator is regarded as part of the budgeting process. Practical capacity and normal capacity are used to ensure that products are not under or overcosted

Blinking in Human Communicative Behaviour and it's Reproduction in Artificial Agents

A significant year-on-year rise in the creation and sales of personal and domestic robotic systems and the development of online embodied communicative agents (ECAs) has in parallel seen an increase in end-users from the public domain interacting with these systems. A number of these robotic/ECA systems are defined as social, whereby they are physically designed to resemble the bodily structure of a human and behaviorally designed to exist within human social surroundings. Their behavioural design is especially important with respect to communication as it is commonly stated that for any social robotic/ECA system to be truly useful within its role, it will need to be able to effectively communicate with its human users. Currently however, the act of a human user instructing a social robotic/ECA system to perform a task highlights many areas of contention in human communication understanding. Commonly, social robotic/ECA systems are embedded with either non-human-like communication interfaces or deficient imitative human communication interfaces, neither of which reach the levels of communicative interaction expected by human users, leading to communication difficulties which in turn create negative association with the social robotic/ECA system in its users. These communication issues lead to a strong requirement for the development of more effective imitative human communication behaviours within these systems. This thesis presents findings from our research into human non-verbal facial behaviour in communication. The objective of the work was to improve communication grounding between social robotic/ECA systems and their human users through the conceptual design of a computational system of human non-verbal facial behaviour (which in human-human communicative behaviour is shown to carry in the range of 55% of the intended semantic meaning of a transferred message) and the development of a highly accurate computational model of human blink behaviour and a computational model of physiological saccadic eye movement in human-human communication, enriching the human-like properties of the facial non-verbal communicative feedback expressed by the social robotic/ECA system. An enhanced level of interaction would likely be achieved, leading to increased empathic response from the user and an improved chance of a satisfactory communicative conclusion to a user’s task requirement instructions. The initial focus of the work was in the capture, transcription and analysis of common human non-verbal facial behavioural traits within human-human communication, linked to the expression of mental communicative states of understanding, uncertainty, misunderstanding and thought. Facial Non-Verbal behaviour data was collected and transcribed from twelve participants (six female) through a dialogue-based communicative interaction. A further focus was the analysis of blink co-occurrence with other traits of human-human communicative non-verbal facial behaviour and the capture of saccadic eye movement at common proxemic distances. From these data analysis tasks, the computational models of human blink behaviour and saccadic eye movement behaviour whilst listening / speaking within human-human communication were designed and then implemented within the LightHead social robotic system. Human-based studies on the perception of naïve users of the imitative probabilistic computational blink model performance on the LightHead robotic system are presented and the results discussed. The thesis concludes on the impact of the work along with suggestions for further studies towards the improvement of the important task of achieving seamless interactive communication between social robotic/ECA systems and their human users

Finding strong lenses in CFHTLS using convolutional neural networks

We train and apply convolutional neural networks, a machine learning technique developed to learn from and classify image data, to Canada-France-Hawaii Telescope Legacy Survey (CFHTLS) imaging for the identification of potential strong lensing systems. An ensemble of four convolutional neural networks was trained on images of simulated galaxy-galaxy lenses. The training sets consisted of a total of 62,406 simulated lenses and 64,673 non-lens negative examples generated with two different methodologies. The networks were able to learn the features of simulated lenses with accuracy of up to 99.8% and a purity and completeness of 94-100% on a test set of 2000 simulations. An ensemble of trained networks was applied to all of the 171 square degrees of the CFHTLS wide field image data, identifying 18,861 candidates including 63 known and 139 other potential lens candidates. A second search of 1.4 million early type galaxies selected from the survey catalog as potential deflectors, identified 2,465 candidates including 117 previously known lens candidates, 29 confirmed lenses/high-quality lens candidates, 266 novel probable or potential lenses and 2097 candidates we classify as false positives. For the catalog-based search we estimate a completeness of 21-28% with respect to detectable lenses and a purity of 15%, with a false-positive rate of 1 in 671 images tested. We predict a human astronomer reviewing candidates produced by the system would identify ~20 probable lenses and 100 possible lenses per hour in a sample selected by the robot. Convolutional neural networks are therefore a promising tool for use in the search for lenses in current and forthcoming surveys such as the Dark Energy Survey and the Large Synoptic Survey Telescope.Comment: 16 pages, 8 figures. Accepted by MNRA

Developing Walvis Bay Port into a logistics gateway for southern Africa: Issues, challenges and the potential implications for Namibia’s future

Many developing countries wish to become the ‘gateway’ to a region or part of a continent.One strategy involves encouraging logistics cluster development. These hubs support global supply chains and may enable the economic growth of the host country through the resulting trade, as well as providing direct and indirect employment opportunities during the build and subsequent operation of the hub. Namibia intends to develop the Port of Walvis Bay to be come the preferred gateway to southern Africa and the Southern African Development Community region. This article builds on research on Caribbean cluster potential and Namibian logistics to identify the potential benefits and impact on development, as well as the drawbacks and risks of such a strategy