Spectra of modular and small-world matrices

We compute spectra of symmetric random matrices describing graphs with general modular structure and arbitrary inter- and intra-module degree distributions, subject only to the constraint of finite mean connectivities. We also evaluate spectra of a certain class of small-world matrices generated from random graphs by introducing shortcuts via additional random connectivity components. Both adjacency matrices and the associated graph Laplacians are investigated. For the Laplacians, we find Lifshitz-type singular behaviour of the spectral density in a localized region of small |?| values. In the case of modular networks, we can identify contributions of local densities of state from individual modules. For small-world networks, we find that the introduction of short cuts can lead to the creation of satellite bands outside the central band of extended states, exhibiting only localized states in the band gaps. Results for the ensemble in the thermodynamic limit are in excellent agreement with those obtained via a cavity approach for large finite single instances, and with direct diagonalization results.

A management tool for developing the relationships between large purchasing organisations and small ethnic minority suppliers

Purpose: The purpose of this paper is to scrutinise the characteristics of the relationship between large purchasing organisations (LPOs) and ethnic minority suppliers (EMSs) engaging with supplier diversity programmes and provide an assessment and developmental framework for such organisations. Design/methodology/approach: Having considered an array of purchaser-supplier relationship frameworks in relevant streams of literature, the paper draws on Lamming et al.'s framework to advance a tool for assessing and developing the relationship between LPOs and EMSs. Findings: The submitted relationship assessment and development framework brings in sharp focus the characteristics of the relationship between LPO and EMS, providing a systematic way to examine the inter-organisational context within which EMS development takes place. Research limitations/implications: The framework submitted could signpost future research in this field, which should take a longitudinal, processual approach. This is necessary to provide opportunities to examine the dynamics underlying the development of potent LPO-EMS relationships in a variety of settings, including negative instances. Practical implications: The paper has implications for corporate policy making and practice in this arena. Assessing the potency of LPOs-EMSs relationships by applying the proffered tool can help both parties engage with supplier diversity, to develop fruitful relationships that enhance their competitiveness. Social implications: The latter can have social implications, as EMSs often operate in and employ people from disadvantaged communities. Originality/value: The framework advanced in this article constitutes a novel tool that highlights the areas in which LPOs and EMSs should channel their efforts, in order to develop a potent relationship between them, which underpins the development of EMSs' supply capabilities. © Emerald Group Publishing Limited.

Belief revision and small loops in Gallager-type error-correcting codes

DUE TO COPYRIGHT RESTRICTIONS ONLY AVAILABLE FOR CONSULTATION AT ASTON UNIVERSITY LIBRARY AND INFORMATION SERVICES WITH PRIOR ARRANGEMENT

Public sector efficiency, foreign aid and small island development states

This paper examines the efficiency of public sector expenditures and foreign aid at achieving social sector outcomes in Small Island Developing States (SIDS). Efficiency is estimated using a Stochastic Production Function (SPF) approach and panel data since 1990. A second stage of the analysis examines the determinants of efficiency. Results indicate that the efficiency of aid and public sectors at improving life expectancy has deteriorated during the 1990s but efficiency at improving school enrolments has increased. Higher levels of governance are associated with higher efficiency. There is also evidence to suggest that efficiency is lower in SIDS, as well as in Sub-Saharan Africa.

Bridging large and small scales of water models using hybrid Molecular Dynamics/Fluctuating Hydrodynamics framework

This thesis presents a two-dimensional water model investigation and development of a multiscale method for the modelling of large systems, such as virus in water or peptide immersed in the solvent. We have implemented a two-dimensional ‘Mercedes Benz’ (MB) or BN2D water model using Molecular Dynamics. We have studied its dynamical and structural properties dependence on the model’s parameters. For the first time we derived formulas to calculate thermodynamic properties of the MB model in the microcanonical (NVE) ensemble. We also derived equations of motion in the isothermal–isobaric (NPT) ensemble. We have analysed the rotational degree of freedom of the model in both ensembles. We have developed and implemented a self-consistent multiscale method, which is able to communicate micro- and macro- scales. This multiscale method assumes, that matter consists of the two phases. One phase is related to micro- and the other to macroscale. We simulate the macro scale using Landau Lifshitz-Fluctuating Hydrodynamics, while we describe the microscale using Molecular Dynamics. We have demonstrated that the communication between the disparate scales is possible without introduction of fictitious interface or approximations which reduce the accuracy of the information exchange between the scales. We have investigated control parameters, which were introduced to control the contribution of each phases to the matter behaviour. We have shown, that microscales inherit dynamical properties of the macroscales and vice versa, depending on the concentration of each phase. We have shown, that Radial Distribution Function is not altered and velocity autocorrelation functions are gradually transformed, from Molecular Dynamics to Fluctuating Hydrodynamics description, when phase balance is changed. In this work we test our multiscale method for the liquid argon, BN2D and SPC/E water models. For the SPC/E water model we investigate microscale fluctuations which are computed using advanced mapping technique of the small scales to the large scales, which was developed by Voulgarakisand et. al.

Differential impact of amino acid substitutions on critical residues of the human glucagon-like peptide-1 receptor involved in peptide activity and small-molecule allosterys

The glucagon-like peptide-1 receptor (GLP-1R) is a class B G protein-coupled receptor that has a critical role in the regulation of glucose homeostasis, principally through the regulation of insulin secretion. The receptor systemis highly complex, able to be activated by both endogenous [GLP-1(1-36)NH2, GLP-1(1-37), GLP-1(7-36)NH2, GLP-1(7-37), oxyntomodulin], and exogenous (exendin-4) peptides in addition to small-molecule allosteric agonists (compound 2 [6,7-dichloro-2-methylsulfonyl-3-tertbutylaminoquinoxaline], BETP [4-(3-benzyloxy)phenyl)-2-ethylsulfinyl-6-(trifluoromethyl)pyrimidine]). Furthermore, the GLP-1R is subject to single-nucleotide polymorphic variance, resulting in amino acid changes in the receptor protein. In this study, we investigated two polymorphic variants previously reported to impact peptidemediated receptor activity (M149) and small-molecule allostery (C333). These residues were mutated to a series of alternate amino acids, and their functionality was monitored across physiologically significant signaling pathways, including cAMP, extracellular signal-regulated kinase 1 and 2 phosphorylation, and intracellular Ca2+ mobilization, in addition to peptide binding and cell-surface expression. We observed that residue 149 is highly sensitive to mutation, with almost all peptide responses significantly attenuated at mutated receptors. However, most reductions in activity were able to be restored by the small-molecule allosteric agonist compound 2. Conversely, mutation of residue 333 had little impact on peptide-mediated receptor activation, but this activity could not be modulated by compound 2 to the same extent as that observed at the wild-type receptor. These results provide insight into the importance of residues 149 and 333 in peptide function and highlight the complexities of allosteric modulation within this receptor system.

Firm growth and barriers to growth among small firms in India

Empirical work on micro and small firms focuses on developed countries, while existing work on developing countries is all too often based on small samples taken from ad hoc questionnaires. The census data we analyze here are fairly representative of small business structure in India. Consistent with findings from prior research on developed countries, size and age have a negative impact on firm growth in the majority of specifications. Enterprises managed by women have lower expected growth rates. Proprietary firms face lower growth on the whole, especially if they are young firms. Exporting has a positive effect on firm growth, especially for young firms and for female-owned firms. Although some small firms are able to convert know-how into commercial success, we find that many others are unable to translate it into superior growth.

Subsidies, rent seeking and performance:being young, small or private in China

Entrepreneurs in emerging market economies operate in weak institutional contexts, which can imply different types of government. In some countries (e.g., Russia), the government is predatory, and the main risk faced by (successful) entrepreneurs relates to expropriation. In other countries (like China) this kind of risk is lower; nevertheless the government is intrusive, and the rules of the game remain fluid. The implication of the latter for entrepreneurs is that they are more likely to spend time and resources on influence (rent seeking) activities rather than on productive activities.We illustrate this type of government by focusing on the distribution of subsidies in China.We present a simple formalmodel that explores not only the direct effects of rent seeking for a company but also externalities under a situation of policy-generated uncertainty in the distribution of subsidies.We explore how these effects differ for the entrepreneurial sector (young, private and small companies) compared with other sectors. We posit that while the performance of private companies is more affected than the performance of state firms, the impact of government-induced uncertainty on young and small companies is actually less pronounced. Our empirical analysis, based on a unique large dataset of 2.4 million observations on Chinese companies, takes advantage of the regional and sectoral heterogeneity of China for empirical tests.