KAM-tori near an analytic elliptic fixed point

We study the accumulation of an elliptic fixed point of a real analytic Hamiltonian by quasi-periodic invariant tori. We show that a fixed point with Diophantine frequency vector \o_0 is always accumulated by invariant complex analytic KAM-tori. Indeed, the following alternative holds: If the Birkhoff normal form of the Hamiltonian at the invariant point satisfies a R\"ussmann transversality condition, the fixed point is accumulated by real analytic KAM-tori which cover positive Lebesgue measure in the phase space (in this part it suffices to assume that \o_0 has rationally independent coordinates). If the Birkhoff normal form is degenerate, there exists an analytic subvariety of complex dimension at least $d+1$ passing through 0 that is foliated by complex analytic KAM-tori with frequency $\omega_0$. This is an extension of previous results obtained in \cite{EFK} to the case of an elliptic fixed point

Construction of a Scale of Contemplative Practice in Higher Education: An Exploratory Study

Some scholars have formed a more expansive view of knowledge that moves beyond the cognitive notion of intellect. For example, emotional intelligence theory posits that human intelligence encompasses both cognitive and emotional competencies, providing a framework for a relatively new concept known as contemplative practice. The purposes of this study were: (a) to develop a self-report measure, the Scale of Contemplative Practice in Higher Education (SCOPE), and (b) to explore issues of validity and reliability related to the SCOPE. An extensive review of the literature, reference to personal experiences, and consultation with an expert panel were used to generate scale items. The participants were 253 educator preparation graduate students. An orthogonal exploratory factor analysis resulted in a seven-factor scale that accounted for 54.48% of the variance, although four factors evidenced low reliability1. The 27-item full-scale SCOPE exhibited good internal reliability (α = .857) and test-retest reliability (r = .879). Future exploration is recommended regarding content and construct validation as to whether contemplative practice is best viewed as a single- or multiple-factor construct

Construction of a Scale of Contemplative Practice in Higher Education: An Exploratory Study

Some scholars have formed a more expansive view of knowledge that moves beyond the cognitive notion of intellect. For example, emotional intelligence theory posits that human intelligence encompasses both cognitive and emotional competencies, providing a framework for a relatively new concept known as contemplative practice. The purposes of this study were: (a) to develop a self-report measure, the Scale of Contemplative Practice in Higher Education (SCOPE), and (b) to explore issues of validity and reliability related to the SCOPE. An extensive review of the literature, reference to personal experiences, and consultation with an expert panel were used to generate scale items. The participants were 253 educator preparation graduate students. An orthogonal exploratory factor analysis resulted in a seven-factor scale that accounted for 54.48% of the variance, although four factors evidenced low reliability. The 27-item full-scale SCOPE exhibited good internal reliability (α= .857) and test-retest reliability (r = .879). Future exploration is recommended regarding content and construct validation as to whether contemplative practice is best viewed as a single- or multiple-factor construct

Positive Lyapunov Exponents for Quasiperiodic Szego cocycles

In this paper we first obtain a formula of averaged Lyapunov exponents for ergodic Szego cocycles via the Herman-Avila-Bochi formula. Then using acceleration, we construct a class of analytic quasi-periodic Szego cocycles with uniformly positive Lyapunov exponents. Finally, a simple application of the main theorem in [Y] allows us to estimate the Lebesgue measure of support of the measure associated to certain class of C1 quasiperiodic 2- sided Verblunsky coefficients. Using the same method, we also recover the [S-S] results for Schrodinger cocycles with nonconstant real analytic potentials and obtain some nonuniform hyperbolicity results for arbitrarily fixed Brjuno frequency and for certain C1 potentials.Comment: 27 papge

Mediating Islamic State: Introduction

How does the group that calls itself “Islamic State” communicate? How has Islamic State been understood and contested? This Special Section gathers emergent scholarly voices, many deploying humanistic inquiry, to probe a phenomenon that has predominantly been the province of social scientists, to explore and understand the players, patterns, and practices that have mediated Islamic State: the communicative ways in which the group has been studied, reported on, visualized, narrated, mocked, spoofed, and resisted. We use “mediation” rather than “media” to shift public discourse on Islamic State beyond the focus on technology that has characterized research on media and sociopolitical change generally, and Islamic State communication in particular. We seek to understand the historical, ideological, technological, and cultural complexity of Islamic State, meshing translocal struggles with global geopolitics. Mediation connotes a broad approach to media, which includes words, images, bodies, platforms, and the expressive capacities and meaning-making practices that communicators generate when they deploy these media

The Revolutionary Public Sphere: The Case of the Arab Uprisings

A comprehensive picture of dissent in the Arab uprisings requires an understanding of how revolutionaries have represented themselves and how various media, digital and otherwise, were incorporated in these communicative processes. Together, the articles in this Special Issue focus on the myths, ideologies, and histories that inspired slogans, murals, and poems of pointed social relevance and politically potency. Originally presented at the inaugural biennial symposium of what was then the Project for Advanced Research in Global Communication in 2014, these papers explore the creative permutations of symbols, words, images, colors, shapes, and sounds that revolutionaries deployed to contest despots, to outwit each other, to attract attention, and to conjure up new social and political imaginaries. The issue exemplifies one of the fundamental principles undergirding the institutional mission of the Center for Advanced Research in Global Communication: a robust dialogue between theoretical advances on one hand, and deep linguistic, cultural, historical knowledge of the world region under study, on the other. To read this special issue of Communication and the Public in full, visit http://journals.sagepub.com/toc/ctpa/2/2

Improved metabolic function and cognitive performance in middle-aged adults following a single dose of wild blueberry

Purpose: Research has demonstrated cognitive benefits following acute polyphenol-rich berry consumption in children and young adults. Berry intake also has been associated with metabolic benefits. No study has yet examined cognitive performance in middle-aged adults. We investigated the relationships among cognitive and metabolic outcomes in middle-aged adults following wild blueberry (WBB) consumption. Methods: Thirty-five individuals aged 40 to 65 years participated in a randomized, double blind, cross-over study. Participants consumed a breakfast meal and 1-cup equivalent WBB drink or matched placebo beverage on two occasions. Participants completed cognitive tasks and had blood drawn before and at regular intervals for 8 h after each meal/treatment. Changes in episodic memory and executive function (EF) were assessed alongside plasma levels of glucose, insulin, and triglyceride. Results: Analysis of the memory related Auditory Verbal Learning Task (AVLT) word recognition measure revealed a decrease in performance over the test day after placebo intake, whereas performance after WBB was maintained. For the AVLT word rejection measure, participants identified more foils following WBB in comparison to placebo. Benefits were also observed for EF on the Go-NoGo task with fewer errors following WBB intake on cognitively demanding invalid NoGo trials in comparison to placebo. Furthermore, in comparison to placebo, response times were faster for the Go-NoGo task, specifically at 4h and 8h following WBB treatment. We also observed reduced post meal glucose and insulin, but not triglyceride, concentrations in comparison to placebo over the first 2h following ingestion. Though the addition of Age, BMI, glucose and insulin as covariates to the analysis reduced the significant effect of beverage for AVLT word rejection, metabolic outcomes did not interact with treatment to predict cognitive performance with the exception of one isolated trend. Conclusions: This study indicated acute cognitive benefits of WBB intake in cognitively healthy middle-aged individuals, particularly in the context of demanding tasks and cognitive fatigue. WBB improved glucose and insulin responses to a meal. Further research is required to elucidate the underlying mechanism by which WBB improves cognitive function

Recent Research on the Health Benefits of Blueberries and Their Anthocyanins

Awareness of the human health benefits of blueberries is underpinned by a growing body of positive scientific evidence from human observational and clinical research, plus mechanistic research using animal and in vitro models. Blueberries contain a large number of phytochemicals, including abundant anthocyanin pigments. Of their various phytochemicals, anthocyanins probably make the greatest impact on blueberry health functionality. Epidemiological studies associate regular, moderate intake of blueberries and/or anthocyanins with reduced risk of cardiovascular disease, death, and type 2 diabetes, and with improved weight maintenance and neuroprotection. These findings are supported by biomarker-based evidence from human clinical studies. Among the more important healthful aspects of blueberries are their anti-inflammatory and antioxidant actions and their beneficial effects on vascular and glucoregulatory function. Blueberry phytochemicals may affect gastrointestinal microflora and contribute to host health. These aspects have implications in degenerative diseases and conditions as well as the aging process. More evidence, and particularly human clinical evidence, is needed to better understand the potential for anthocyanin-rich blueberries to benefit public health. However, it is widely agreed that the regular consumption of tasty, ripe blueberries can be unconditionally recommended

Resummation of perturbation series and reducibility for Bryuno skew-product flows

We consider skew-product systems on T^d x SL(2,R) for Bryuno base flows close to constant coefficients, depending on a parameter, in any dimension d, and we prove reducibility for a large measure set of values of the parameter. The proof is based on a resummation procedure of the formal power series for the conjugation, and uses techniques of renormalisation group in quantum field theory.Comment: 30 pages, 12 figure