Autocorrelations of the characteristic polynomial of a random matrix under microscopic scaling

We calculate the autocorrelation function for the characteristic polynomial of a random matrix in the microscopic scaling regime. While results fitting this description have be proved before, we will cover all values of inverse temperature $\beta \in (0,\infty)$. The method also differs from prior work, relying on matrix models introduced by Killip and Nenciu

Global well-posedness and scattering for the defocusing energy-critical nonlinear Schr\"odinger equation in R1+4\R^{1+4}

We obtain global well-posedness, scattering, uniform regularity, and global $L^6_{t,x}$ spacetime bounds for energy-space solutions to the defocusing energy-critical nonlinear Schr\"odinger equation in $\R\times\R^4$. Our arguments closely follow those of Colliander-Keel-Staffilani-Takaoka-Tao, though our derivation of the frequency-localized interaction Morawetz estimate is somewhat simpler. As a consequence, our method yields a better bound on the $L^6_{t,x}$-norm

Right limits and reflectionless measures for CMV matrices

We study CMV matrices by focusing on their right-limit sets. We prove a CMV version of a recent result of Remling dealing with the implications of the existence of absolutely continuous spectrum, and we study some of its consequences. We further demonstrate the usefulness of right limits in the study of weak asymptotic convergence of spectral measures and ratio asymptotics for orthogonal polynomials by extending and refining earlier results of Khrushchev. To demonstrate the analogy with the Jacobi case, we recover corresponding previous results of Simon using the same approach

Rethinking international cooperation in criminal matters in the EU: moving beyond actors, bringing logic back, footed in reality

International cooperation in criminal matters in the European Union has grown exponentially over the past few decades. Importantly, there is a wide variety of authorities involved therein, rendering the traditional distinction between police and judicial cooperation outdated. Furthermore, its rapid growth exposed this policy field to inconsistencies and incoherence. Additionally despite the wave of new legislation, important lacunae can be identified, setting important challenges for the future. The combination of these issues clarifies the title of this book: there is a pressing need to rethink international cooperation in criminal matters. In answer to a call from the European Commission, the authors have designed a comprehensive methodological framework to review the entirety of international cooperation in criminal matters, combining desktop reviews, expert consultations, member state questionnaires and focus group meetings in each of the member states to obtain a comprehensive overview of the currently experienced obstacles and future policy options that are both needed and feasible. Over 150 individuals contributed to the study, with different background, including academics, lawyers, policy makers, police, customs, intelligence services, prosecution, judiciary, correctional authorities, Ministries of Justice and Home Affairs. This book provides an overview of the research findings and the recommendations formulated. They include but are not limited to (1) a helicopter view on cooperation with criminal justice finality, (2) a clear demarcation of the role of the judicial authorities, (3) a comprehensive review of refusal grounds, including proportionality and capacity concerns, (4) an assessment of gaps in the current body of instruments regulating international cooperation in criminal matters and possible remedies thereto, (5) a well-considered further development of Eurojust and (6) ensuring EU wide effect of mere domestic actions

Modular Mobile Application Design

This article describes the development of the Minrva library app for Android phones. The decisions to build a native application with Java and use a modular design are discussed. The application includes five modules: catalog search, in­-building navigation, a barcode scanning feature, and up to date notifications of circulating technology availability. A sixth module, Amazon recommendations, that is not included in the version of the app that was released is also discussed. The article also reports on the findings of two rounds of usability testing and the plans for future development of the app.The authors wish to acknowledge the Research and Publication Committee of the University of Illinois at Urbana-­Champaign Library, which provided support for the completion of this research.Ope

To be a realist about quantum theory

I look at the distinction between between realist and antirealist views of the quantum state. I argue that this binary classification should be reconceived as a continuum of different views about which properties of the quantum state are representationally significant. What's more, the extreme cases -- all or none --- are simply absurd, and should be rejected by all parties. In other words, no sane person should advocate extreme realism or antirealism about the quantum state. And if we focus on the reasonable views, it's no longer clear who counts as a realist, and who counts as an antirealist. Among those taking a more reasonable intermediate view, we find figures such as Bohr and Carnap -- in stark opposition to the stories we've been told

Simon-Task Reveals Balanced Visuomotor Control in Experienced Video-Game Players

Both short and long-term video-game play may result in superior performance on visual and attentional tasks. To further these findings, we compared the performance of experienced male video-game players (VGPs) and non-VGPs on a Simon-task. Experienced-VGPs began playing before the age of 10, had a minimum of 8 years of experience and a minimum play time of over 20 h per week over the past 6 months. Our results reveal a significantly reduced Simon-effect in experienced-VGPs relative to non-VGPs. However, this was true only for the right-responses, which typically show a greater Simon-effect than left-responses. In addition, experienced-VGPs demonstrated significantly quicker reaction times and more balanced left-versus-right-hand performance than non-VGPs. Our results suggest that experienced-VGPs can resolve response-selection conflicts more rapidly for right-responses than non-VGPs, and this may in part be underpinned by improved bimanual motor control