Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle

We prove that for any $n\times n$ matrix, $A$, and $z$ with $|z|\geq \|A\|$, we have that \|(z-A)^{-1}\|\leq\cot (\frac{\pi}{4n}) \dist (z, \spec(A))^{-1}. We apply this result to the study of random orthogonal polynomials on the unit circle.Comment: 27 page

Australian Residential Solar Feed-in Tariffs: Industry Stimulus or Regressive Form of Taxation?

Feed-in Tariffs (FiT) for residential photovoltaic solar technologies are available in most Australian jurisdictions. Financial incentives under FiT are in addition to those provided by the Small-Scale Renewable Energy Scheme which forms part of the national 20% Renewable Energy Target. Little attention has been paid to the welfare impacts of FiT on retail electricity prices and social policy objectives. Our analysis indicates that current FiT are a regressive form of taxation. By providing estimates of household impact by income groupings, we conclude that wealthier households are beneficiaries and the effective taxation rate for low income households is three times higher than that paid by the wealthiest households.Feed-in Tariffs, Electricity Prices

Learning from openness : the dynamics of breadth in external innovation linkages

We explore how openness in terms of external linkages generates learning effects, which enable firms to generate more innovation outputs from any given breadth of external linkages. Openness to external knowledge sources, whether through search activity or linkages to external partners in new product development, involves a process of interaction and information processing. Such activities are likely to be subject to a learning process, as firms learn which knowledge sources and collaborative linkages are most useful to their particular needs, and which partnerships are most effective in delivering innovation performance. Using panel data from Irish manufacturing plants, we find evidence of such learning effects: establishments with substantial experience of external collaborations in previous periods derive more innovation output from openness in the current period

The generalized Fenyes-Nelson model for free scalar field theory

The generalized Fenyes--Nelson model of quantum mechanics is applied to the free scalar field. The resulting Markov field is equivalent to the Euclidean Markov field with the times scaled by a common factor which depends on the diffusion parameter. This result is consistent between Guerra's earlier work on stochastic quantization of scalar fields. It suggests a deep connection between Euclidean field theory and the stochastic interpretation of quantum mechanics. The question of Lorentz covariance is also discussed.Comment: 6 page

Leading academic change: experiences of academic staff implementing team-based learning

YesTeam-based learning (TBL) is a collaborative learning model that shifts classroom time from a teacher-centred to student-centred approach. TBL emphasises accountability to learning, teamwork, immediate feedback, peer feedback, and critical thinking. While many educators value the increased student engagement that results from TBL, the transition from traditional teaching methods to TBL poses challenges. Using a qualitative approach, this study aimed to explore the experiences of 26 academic staff in the United Kingdom who implemented TBL in the higher education setting. Thematic analysis of interview text generated eight themes related to preparing academics to use TBL, challenges related to TBL, and engagement of students with the curriculum. Derived from these themes, a set of recommendations for supporting academic staff who transition to TBL was developed

Outcomes of implementing Team-Based Learning (TBL): the experiences of UK educators

YesTeam-Based Learning (TBL) is a collaborative learning model that refocuses classroom time to solving relevant problems instead of dispensing information. This is accomplished by a pre-class readiness assurance process that promotes accountability to self-directed learning and teamwork. While research related to the student experience with TBL is present in the literature, there is a relative lack of research published on the experiences of academic staff with TBL. Using a qualitative approach and a semi-structured interview format, this study explored the experiences of 26 academic staff in the UK who implemented TBL using a semi-structured interview format. Thematic analysis of interview text yielded five themes related to curriculum design, student outcomes, and the professional development of academic staff.Supported by a grant from the Regis University Research and Scholarship Council

Longitudinal Spin Asymmetry and Cross Section of Inclusive pi0 Production in Polarized p+p Collisions at RHIC

We present the first measurement of the cross section and the double longitudinal spin asymmetry of inclusive pi0 production in polarized p+p collisions at Sqrt(s) = 200 GeV at mid-rapidity with the STAR detector, using the barrel electromagnetic calorimeter. The measured cross section is compared to NLO pQCD calculations and can provide constraints on the pion fragmentation functions. Fragmentation is studied directly by measuring the momentum fraction of pi0 in jets, a quantity that is affected by the fragmentation process and jet reconstruction effects. The double longitudinal spin asymmetry is compared to NLO pQCD calculations based on different assumptions for the gluon polarization in the nucleon to provide constraints on delta g/g. At the present level of statistics the measured asymmetry disfavors a large positive gluon polarization, but can not yet distinguish between other scenarios.Comment: 4 pages, 2 figures, submitted to the proceedings of the 17th International Spin Physics Symposium (SPIN2006), Kyoto, Japan, October 2 to 7, 200

Localized magnetic moments with tunable spin exchange in a gas of ultracold fermions

We report on the experimental realization of a state-dependent lattice for a two-orbital fermionic quantum gas with strong interorbital spin exchange. In our state-dependent lattice, the ground and metastable excited electronic states of $^{173}$Yb take the roles of itinerant and localized magnetic moments, respectively. Repulsive on-site interactions in conjunction with the tunnel mobility lead to spin exchange between mobile and localized particles, modeling the coupling term in the well-known Kondo Hamiltonian. In addition, we find that this exchange process can be tuned resonantly by varying the on-site confinement. We attribute this to a resonant coupling to center-of-mass excited bound states of one interorbital scattering channel