Analyticity of smooth eigenfunctions and spectral analysis of the Gauss map

We provide a sufficient condition of analyticity of infinitely differentiable eigenfunctions of operators of the form Uf(x) = integral a(x, y) f(b( x, y)) mu(dy) acting on functions f: [u, v] --> C ( evolution operators of one-dimensional dynamical systems and Markov processes have this form). We estimate from below the region of analyticity of the eigenfunctions and apply these results for studying the spectral properties of the Frobenius-Perron operator of the continuous fraction Gauss map. We prove that any infinitely differentiable eigenfunction f of this Frobenius-Perron operator, corresponding to a non-zero eigenvalue admits a (unique) analytic extension to the set C\(-infinity, 1]. Analyzing the spectrum of the Frobenius Perron operator in spaces of smooth functions, we extend significantly the domain of validity of the Mayer and Ropstorff asymptotic formula for the decay of correlations of the Gauss map.

Vortex entanglement in Bose-Einstein condensates coupled to Laguerre-Gauss beams

We study the establishment of vortex entanglement in remote Bose-Einstein condensates (BECs). We consider a two-mode photonic resource entangled in its orbital angular momentum (OAM) degree of freedom and, by exploiting the process of light-to-BEC OAM transfer, demonstrate that such entanglement can be efficiently passed to the matterlike systems. Our proposal thus represents a building block for novel dissipation-free and long-memory communication channels based on OAM. We discuss issues of practical realizability, stressing the feasibility of our scheme, and present an operative technique for the indirect inference of the set vortex entanglement.

Non-reciprocity in doubly periodic strip arrays on ferrite-dielectric substrate

Doubly periodic arrays of strip conductors printed on a composite ferrite-dielectric substrate have been investigated at oblique incidence of linear polarized plane waves. The simulation results revealed strong non-reciprocity of wave reflectance and transmittance at positive and negative angles of incidence. It is also shown that the non-reciprocity is further enhanced by the strip conductor pattern. 

An effective key generation system using improved channel reciprocity

In physical layer security systems there is a clear need to exploit the radio link characteristics to automatically generate an encryption key between two end points. The success of the key generation depends on the channel reciprocity, which is impacted by the non-simultaneous measurements and the white nature of the noise. In this paper, an OFDM subcarriers' channel responses based key generation system with enhanced channel reciprocity is proposed. By theoretically modelling the OFDM subcarriers' channel responses, the channel reciprocity is modelled and analyzed. A low pass filter is accordingly designed to improve the channel reciprocity by suppressing the noise. This feature is essential in low SNR environments in order to reduce the risk of the failure of the information reconciliation phase during key generation. The simulation results show that the low pass filter improves the channel reciprocity, decreases the key disagreement, and effectively increases the success of the key generation.

Experimental Study on Channel Reciprocity in Wireless Key Generation

Key generation from wireless channels is a promising alternative to public key cryptography for the establishment of cryptographic keys. It is the first paper to experimentally study the channel reciprocity principle of key generation, through investigating and quantifying channel measurements' cross-correlation relationship affected by noise and non-simultaneous measurements. Channel measurements, both received signal strength and channel state information, are collected from a real experimental platform using the wireless open access research platform (WARP) in a multipath office room. We found that in a slow fading channel (e.g., with a coherence time of about 50~ms), the channel cross-correlation is impacted greatly by noise but little by non-simultaneous measurements with a small sampling time difference (e.g., 0.06 ms). The resolution of the sampling time difference can be satisfied by wireless systems such as IEEE 802.11 to maintain an acceptable cross-correlation coefficient without affecting the bandwidth and communication efficiency.

High-density and low electron temperature direct current reflex plasma source

A new type of direct current, high-density, and low electron temperature reflex plasma source, obtained as a hybrid between a modified hollow-cathode discharge and a Penning ionization gauge discharge is presented. The plasma source was tested in argon, nitrogen, and oxygen over a range pressure of 1.0-10(-3) mbar, discharge currents 20-200 mA, and magnetic field 0-120 Gauss. Both external parameters, such as breakdown potential and the discharge voltage-current characteristic, and its internal parameters, like the electron energy distribution function, electron and ion densities, and electron temperature, were measured. Due to the enhanced hollow-cathode effect by the magnetic trapping of electrons, the density of the bulk plasma is as high as 10(18) m(-3), and the electron temperature is as low as a few tenths of electron volts. The plasma density scales with the dissipated power. Another important feature of this reflex plasma source is its high degree of uniformity, while the discharge bulk region is free of an electric field. (C) 2004 American Institute of Physics.

Integrating Ballymun? Flawed progress in Ireland's largest estate regeneration scheme

Urban regeneration in the Republic of Ireland takes place in the context of the rapid, ‘Celtic Tiger’ economic growth of the 1990s. The boom transformed Irish society and led to greater affluence for many people, along with continuing and arguably worsening inequality for those excluded from its opportunities. In particular, Ireland’s small social rented sector has become the focus of the country’s most concentrated poverty and social exclusion. The Ballymun regeneration programme in North Dublin aims to facilitate physical, social and economic change in order to integrate the area more closely with the
more affluent surrounding suburbs. This article reviews the issues involved in restructuring such a large area of social exclusion within a rapidly changing European capital city, using a framework that disaggregates the concept of integration into three elements: market, citizenship and reciprocity. With just over half the physical refurbishment complete, progress has been made but some fundamental issues remain. The article concludes that although substantial advancement has been made with physical regeneration, progress with wider economic and social integration has been uneven and in some cases flawed.

Sub-Wavelength Profile 2-D Leaky-Wave Antennas With Two Periodic Layers

A fast and accurate analysis and synthesis technique for high-gain sub-wavelength 2-D Fabry-Perot leaky-wave antennas (LWA) consisting of two periodic metallodielectric arrays over a ground plane is presented. Full-wave method of moments (MoM) together with reciprocity is employed for the estimation of the near fields upon plane wave illumination and the extraction of the radiation patterns of the LWA. This yields a fast and rigorous tool for the characterisation of this type of antennas. A thorough convergence study for different antenna designs is presented and the operation principles of these antennas as well as the radiation characteristics are discussed. Moreover, design guidelines to tailor the antenna profile, the dimensions of the arrays as well as the antenna directivity and bandwidth are provided. A study on the radiation efficiency for antennas with different profiles is also presented and the trade off between directivity and radiation bandwidth is discussed. Numerical examples are given throughout to demonstrate the technique. A finite size antenna model is simulated using commercial software (CST Microstripes 2009) which validates the technique.

Democratic Participation, Engagement, and Freedom

It is commonly supposed that democracies should encourage greater political participation and civic engagement. This article identifies two distinct perspectives on political participation and civic engagement: a ‘freedom-centred’ model and an ‘ethical’ model. The ‘freedom-centred’ model defended here draws on the republican concept of freedom as non-domination, together with the political liberal notion of fair deliberative proceduralism, while the ethical model draws on Aristotelian, perfectionist, sources. It is argued that the ‘ethical’ model is overly concerned with the ‘moral renewal’ of modern social life, and is insensitive to problems of domination posed by its account of civic reciprocity and trust. By contrast, the ‘freedom-centred’ model developed offers a systematic account of personal and political freedom, which provides qualified support for deliberative modes of participation and engagement.

Social Exchange at Work and Emotional Exhaustion: The Role of Personality

Unbalanced social-exchange processes at work have been linked to emotional exhaustion. In addition to organizational factors, individual differences are important determinants of reciprocity perceptions. This study explored whether broad and narrow personality traits were associated with perceived lack of reciprocity (organizational and interpersonal levels), and whether personality moderated the relationship between reciprocity and emotional exhaustion, in a sample of 322 civil servants. Extraversion, agreeableness, emotional stability, internal locus of control, and Type A behavior predicted reciprocity. The relationship between perceived lack of reciprocity with the organization and emotional exhaustion was stronger for individuals reporting lower negative affect or higher extraversion. These findings highlight the importance of personality for understanding perceived reciprocity at work and its impact on emotional exhaustion.

Prospective study of workplace social capital and depression: are vertical and horizontal components equally important?

Background Recent studies have emphasised the multidimensional nature of the social capital concept, but it is not known whether the health effects of social capital vary by dimension. The objective of this study was to examine the vertical component (ie, respectful and trusting relationships across power differentials at work) and the horizontal component of workplace social capital (trust and reciprocity between employees at the same hierarchical level) as risk factors for subsequent depression.

Workplace social capital and risk of chronic and severe hypertension: a cohort study

Objective: The association between workplace factors and the development of hypertension remains uncertain. We examined the risk of hypertension as a function of workplace social capital, that is, social cohesion, trust and reciprocity in the workplace.

Reciprocal value propositions in practice: Constraints in digital markets

The value proposition concept, while forming a central foundational premise of service-dominant (S-D) logic, has nevertheless been treated somewhat ambiguously. Recent work in attempting to address this has focused through a S-D logic lens on the reciprocal nature of value propositions. Important to this work has been a focus on communicative interactions and resource integration between network suppliers and customers. Overall, value proposition thinking has not studied in detail their adoption and use in practice. Considering the compelling notion of reciprocity, there have been recent calls for research to consider reciprocal value propositions in practice. The overall aim of this paper, therefore, was to explore how reciprocal value propositions are developed (or not) in practice at the network level. The study was set in the mobile television (TV) sector, which, as an internet-driven sector, is viewed as particularly pertinent. To conduct the study an S-D logic and Industrial Marketing and Purchasing (IMP) Group framework are integrated for the first time. A key finding is that while the reciprocal value proposition concept is theoretically intuitive, it is by no means inevitable in practice. Reciprocal value propositions were found to be simultaneously constrained, and, potentially enabled by these constraints in practice. At an overall level this paper contributes to the ongoing collaborative process, which aims to move S-D logic from a framework to a theory. More specifically, we provide new insights into the development of reciprocal value propositions in practice.

A multi-fibre multi-layer representative volume element (M2RVE) for prediction of matrix and interfacial damage in composite laminates

Multiscale micro-mechanics theory is extensively used for the prediction of the material response and damage analysis of unidirectional lamina using a representative volume element (RVE). Th is paper presents a RVE-based approach to characterize the materi al response of a multi-fibre cross-ply laminate considering the effect of matrix damage and fibre-matrix interfacial strength. The framework of the homogenization theory for periodic media has been used for the analysis of a 'multi-fibre multi-layer representative volume element' (M2 RVE) representing cross-ply laminate. The non-homogeneous stress-strain fields within the M2RVE are related to the average stresses and strains by using Gauss theorem and the Hill-Mandal strain energy equivalence principle. The interfacial bonding strength affects the in-plane shear stress-strain response significantl y. The material response predicted by M2 RVE is in good agreement with the experimental results available in the literature. The maximum difference between the shear stress predicted using M2 RVE and the experimental results is ~15% for the bonding strength of 30MPa at the strain value of 1.1%