Hilbert W*-modules and coherent states

Hilbert C*-module valued coherent states was introduced earlier by Ali, Bhattacharyya and Shyam Roy. We consider the case when the underlying C*-algebra is a W*-algebra. The construction is similar with a substantial gain. The associated reproducing kernel is now algebra valued, rather than taking values in the space of bounded linear operators between two C*-algebras.

Stochastically driven instability in rotating shear flows

The origin of hydrodynamic turbulence in rotating shear flows is investigated, with particular emphasis on the flows whose angular velocity decreases but whose specific angular momentum increases with the increasing radial coordinate. Such flows are Rayleigh stable, but must be turbulent in order to explain the observed data. Such a mismatch between the linear theory and the observations/experiments is more severe when any hydromagnetic/magnetohydrodynamic instability and then the corresponding turbulence therein is ruled out. This work explores the effect of stochastic noise on such hydrodynamic flows. We essentially concentrate on a small section of such a flow, which is nothing but a plane shear flow supplemented by the Coriolis effect. This also mimics a small section of an astrophysical accretion disc. It is found that such stochastically driven flows exhibit large temporal and spatial correlations of perturbation velocities and hence large energy dissipations of perturbation, which presumably generate the instability. A range of angular velocity (Omega) profiles of the background flow, starting from that of a constant specific angular momentum (lambda = Omega r(2); r being the radial coordinate) to a constant circular velocity (v(phi) = Omega r), is explored. However, all the background angular velocities exhibit identical growth and roughness exponents of their perturbations, revealing a unique universality class for the stochastically forced hydrodynamics of rotating shear flows. This work, to the best of our knowledge, is the first attempt to understand the origin of instability and turbulence in three-dimensional Rayleigh stable rotating shear flows by introducing additive noise to the underlying linearized governing equations. This has important implications to resolve the turbulence problem in astrophysical hydrodynamic flows such as accretion discs.

Influence limitation in multi-campaign social networks: A Shapley value based approach

We investigate the problem of influence limitation in the presence of competing campaigns in a social network. Given a negative campaign which starts propagating from a specified source and a positive/counter campaign that is initiated, after a certain time delay, to limit the the influence or spread of misinformation by the negative campaign, we are interested in finding the top k influential nodes at which the positive campaign may be triggered. This problem has numerous applications in situations such as limiting the propagation of rumor, arresting the spread of virus through inoculation, initiating a counter-campaign against malicious propaganda, etc. The influence function for the generic influence limitation problem is non-submodular. Restricted versions of the influence limitation problem, reported in the literature, assume submodularity of the influence function and do not capture the problem in a realistic setting. In this paper, we propose a novel computational approach for the influence limitation problem based on Shapley value, a solution concept in cooperative game theory. Our approach works equally effectively for both submodular and non-submodular influence functions. Experiments on standard real world social network datasets reveal that the proposed approach outperforms existing heuristics in the literature. As a non-trivial extension, we also address the problem of influence limitation in the presence of multiple competing campaigns.

Interphase anisotropy effects on lamellar eutectics: A numerical study

In directional solidification of binary eutectics, it is often observed that two-phase lamellar growth patterns grow tilted with respect to the direction z of the imposed temperature gradient. This crystallographic effect depends on the orientation of the two crystal phases alpha and beta with respect to z. Recently, an approximate theory was formulated that predicts the lamellar tilt angle as a function of the anisotropy of the free energy of the solid(alpha)-solid(beta) interphase boundary. We use two different numerical methods-phase field (PF) and dynamic boundary integral (BI)-to simulate the growth of steady periodic patterns in two dimensions as a function of the angle theta(R) between z and a reference crystallographic axis for a fixed relative orientation of alpha and beta crystals, that is, for a given anisotropy function (Wulff plot) of the interphase boundary. For Wulff plots without unstable interphase-boundary orientations, the two simulation methods are in excellent agreement with each other and confirm the general validity of the previously proposed theory. In addition, a crystallographic ``locking'' of the lamellae onto a facet plane is well reproduced in the simulations. When unstable orientations are present in the Wulff plot, it is expected that two distinct values of the tilt angle can appear for the same crystal orientation over a finite theta(R) range. This bistable behavior, which has been observed experimentally, is well reproduced by BI simulations but not by the PF model. Possible reasons for this discrepancy are discussed.

Study on cracked spherical shells

The local-global anatysis method is systematically extended to the fracture analysis of spherical shells. On the basis of the shallow shell theory, which takes into account transverse shear deformations, governing equations for cracked spherical shells expressed in displacement and stress functions f, F and φ are proposed, and then a general solution including Modes, Ⅰ, Ⅱ, Ⅲ for stress-strain fields at crack tip in a spherical shell is obtained, which plays the same role as Williams's expansion in plane elasticity. The numerical results for finite-size spherical shells under different boundary conditions have been obtained. Furthermore, the bulging factors are analyzed with regard to shearing stiffness and an approximate formula is given.

Scientific Data Application Profile Scoping Study

This study was undertaken by UKOLN on behalf of the Joint Information Systems Committee (JISC) in the period April to September 2008. Application profiles are metadata schemata which consist of data elements drawn from one or more namespaces, optimized for a particular local application. They offer a way for particular communities to base the interoperability specifications they create and use for their digital material on established open standards. This offers the potential for digital materials to be accessed, used and curated effectively both within and beyond the communities in which they were created. The JISC recognized the need to undertake a scoping study to investigate metadata application profile requirements for scientific data in relation to digital repositories, and specifically concerning descriptive metadata to support resource discovery and other functions such as preservation. This followed on from the development of the Scholarly Works Application Profile (SWAP) undertaken within the JISC Digital Repositories Programme and led by Andy Powell (Eduserv Foundation) and Julie Allinson (RRT UKOLN) on behalf of the JISC. Aims and Objectives 1.To assess whether a single metadata AP for research data, or a small number thereof, would improve resource discovery or discovery-to-delivery in any useful or significant way. 2.If so, then to:a.assess whether the development of such AP(s) is practical and if so, how much effort it would take; b.scope a community uptake strategy that is likely to be successful, identifying the main barriers and key stakeholders. 3.Otherwise, to investigate how best to improve cross-discipline, cross-community discovery-to-delivery for research data, and make recommendations to the JISC and others as appropriate. Approach The Study used a broad conception of what constitutes scientific data, namely data gathered, collated, structured and analysed using a recognizably scientific method, with a bias towards quantitative methods. The approach taken was to map out the landscape of existing data centres, repositories and associated projects, and conduct a survey of the discovery-to-delivery metadata they use or have defined, alongside any insights they have gained from working with this metadata. This was followed up by a series of unstructured interviews, discussing use cases for a Scientific Data Application Profile, and how widely a single profile might be applied. On the latter point, matters of granularity, the experimental/measurement contrast, the quantitative/qualitative contrast, the raw/derived data contrast, and the homogeneous/heterogeneous data collection contrast were discussed. The Study report was loosely structured according to the Singapore Framework for Dublin Core Application Profiles, and in turn considered: the possible use cases for a Scientific Data Application Profile; existing domain models that could either be used or adapted for use within such a profile; and a comparison existing metadata profiles and standards to identify candidate elements for inclusion in the description set profile for scientific data. The report also considered how the application profile might be implemented, its relationship to other application profiles, the alternatives to constructing a Scientific Data Application Profile, the development effort required, and what could be done to encourage uptake in the community. The conclusions of the Study were validated through a reference group of stakeholders.

Experimental Economics Meets Language Choice

Roughly one half of World's languages are in danger of extinction. The endangered languages, spoken by minorities, typically compete with powerful languages such as En- glish or Spanish. Consequently, the speakers of minority languages have to consider that not everybody can speak their language, converting the language choice into strategic,coordination-like situation. We show experimentally that the displacement of minority languages may be partially explained by the imperfect information about the linguistic type of the partner, leading to frequent failure to coordinate on the minority language even between two speakers who can and prefer to use it. The extent of miscoordination correlates with how minoritarian a language is and with the real-life linguistic condition of subjects: the more endangered a language the harder it is to coordinate on its use, and people on whom the language survival relies the most acquire behavioral strategies that lower its use. Our game-theoretical treatment of the issue provides a new perspective for linguistic policies.

Endogenous Timing in Pollution Control: Stackelberg versus Cournot-Nash Equilibria

27 p.

An integrated design approach to power systems : from power flows to electricity markets

Power system is at the brink of change. Engineering needs, economic forces and environmental factors are the main drivers of this change. The vision is to build a smart electrical grid and a smarter market mechanism around it to fulfill mandates on clean energy. Looking at engineering and economic issues in isolation is no longer an option today; it needs an integrated design approach. In this thesis, I shall revisit some of the classical questions on the engineering operation of power systems that deals with the nonconvexity of power flow equations. Then I shall explore some issues of the interaction of these power flow equations on the electricity markets to address the fundamental issue of market power in a deregulated market environment. Finally, motivated by the emergence of new storage technologies, I present an interesting result on the investment decision problem of placing storage over a power network. The goal of this study is to demonstrate that modern optimization and game theory can provide unique insights into this complex system. Some of the ideas carry over to applications beyond power systems.

Kinetic theory of normal quantum fluids

Close to equilibrium, a normal Bose or Fermi fluid can be described by an exact kinetic equation whose kernel is nonlocal in space and time. The general expression derived for the kernel is evaluated to second order in the interparticle potential. The result is a wavevector- and frequency-dependent generalization of the linear Uehling-Uhlenbeck kernel with the Born approximation cross section.

The theory is formulated in terms of second-quantized phase space operators whose equilibrium averages are the n-particle Wigner distribution functions. Convenient expressions for the commutators and anticommutators of the phase space operators are obtained. The two-particle equilibrium distribution function is analyzed in terms of momentum-dependent quantum generalizations of the classical pair distribution function h(k) and direct correlation function c(k). The kinetic equation is presented as the equation of motion of a two -particle correlation function, the phase space density-density anticommutator, and is derived by a formal closure of the quantum BBGKY hierarchy. An alternative derivation using a projection operator is also given. It is shown that the method used for approximating the kernel by a second order expansion preserves all the sum rules to the same order, and that the second-order kernel satisfies the appropriate positivity and symmetry conditions.

Creation of temporary ponds for amphibians in northern and central Europe

More than 4000 ponds have been created or restored in Denmark since 1985 as part of a large-scale pond-digging programme to protect endangered amphibians in particular and pond flora and fauna in general. Most ponds are created on private land with public financing. The programme was triggered by, among other factors, a drastic decline in amphibian populations in Denmark between 1940 and 1980. However, in recent years there has been an increased awareness in Denmark that temporary ponds are important for the conservation of some of the most rare amphibian species, such as fire-bellied toad Bombina bombina, natterjack toad Bufo calamita and green toad Bufo viridis. Other rare species such as moor frog Rana arvalis and European tree frog Hyla arborea also benefit from temporary ponds. The last 15 years of work on the conservation of endangered species and their habitats has resulted in a last-minute rescue and a subsequent growth in the size of most Danish populations of fire-bellied toad and green toad; some populations of the relatively more common natterjack toad have also increased. The creation of temporary ponds plays an important role in the success of these three species. The creation of ponds to help restore viable populations of the most rare amphibians has not been easy. To study the conditions that may need to be created, Danish herpetologists searched for areas with temporary ponds that had good water quality, natural hydrological conditions and a management regime influenced by traditional agricultural methods. The paper gives an overview of pond creation and restoration projects in Denmark and Poland and their significance for amphibian diversity.

Ecologia de Astyanax taeniatus na Bacia do Rio Mato Grosso, Saquarema - RJ: Dieta, uso do micro-hábitat e uma breve análise comportamental

Neste trabalho tivemos como objetivo caracterizar a dieta, uso do habitat e padrões comportamentais de Astyanax taeniatus da bacia do Rio Mato Grosso, que encontra-se na porção leste do Estado do Rio de Janeiro (22 52 S; 42 40 W e 22 53 S; 42 34 W). Para a análise da dieta, os exemplares foram coletados bimestralmente entre março de 2006 e janeiro de 2007 em três localidades que diferiram pelas variáveis físicas. As observações de uso dos recursos do habitat foram realizadas por observação subaquática, na posição focal dos exemplares avistados, enquanto a quantificação da disponibilidade foi realizada em 50 quadrats de 20x20cm (400cm2) ao longo dos mesmos 50m onde foi realizada a observação sub-aquática. A análise do conteúdo estomacal de 651 exemplares foi realizada sob microscópio estereoscópico de acordo com métodos qualitativos e quantitativos (Freqüência de Ocorrência e Volumétrica). A participação relativa de cada item registrado nos estômagos em relação à totalidade da dieta foi analisada através do Índice Alimentar (IAi). Para verificar possíveis diferenças entre as proporções dos itens de origem animal e vegetal, autóctone e alóctone, os valores proporcionais foram testados pelo 2 de contingência. A partir dos dados de comprimento padrão e comprimento do intestino, foi calculado o valor do quociente intestinal. Os itens de origem vegetal tiveram maior contribuição na dieta da espécie para as localidades com maior altitude, enquanto os itens animais tiveram maior contribuição na localidade baixa. A diferença na contribuição dos itens de origem autóctone e alóctone também foi significativa. Na dieta de jovens e adultos, houve diferença significativa na contribuição de itens de origem vegetal e animal somente na localidade mais alta, onde os adultos consumiram maior quantidade de matéria vegetal. Os valores médios de quociente intestinal em jovens e adultos foram significativamente diferentes nas localidades de maior altitude, com valores maiores para indivíduos adultos. Observamos 52% dos indivíduos em profundidades entre 30 e 45 cm, 72% em áreas de rápido, 72% em velocidades entre 0 e 0,5km/h, 66% encontravam-se distantes da margem entre 40 e 120 cm, 37,6% em substrato do tipo areia e 34,4% em substrato do tipo pedra. De todos os padrões comportamentais observados, aquele que mais se destacou foi o forrageamento, onde 70,91% dos indivíduos estavam forrageando no meio da coluna dágua. Os resultados da dieta reforçam a idéia de as espécies de Astyanax têm hábito alimentar onívoro e oportunista, onde a espécie alimentou-se dos recursos disponíveis no ambiente evidenciando sua alta plasticidade alimentar ao longo do riacho. Espécies do gênero Astyanax são consideradas generalistas em relação ao uso do habitat e altamente ativas, corroborando com os resultados do presente estudo.

Stability analysis of RF amplifiers based on MIMO pole-zero identification

Spurious oscillations are one of the principal issues faced by microwave and RF circuit designers. The rigorous detection of instabilities or the characterization of measured spurious oscillations is still an ongoing challenge. This project aims to create a new stability analysis CAD program that tackles this chal- lenge. Multiple Input Multiple Output (MIMO) pole-zero identification analysis is introduced on the program as a way to create new methods to automate the stability analysis process and to help designers comprehend the obtained results and prevent incorrect interpretations. The MIMO nature of the analysis contributes to eliminate possible controllability and observability losses and helps differentiate mathematical and physical quasi-cancellations, products of overmodeling. The created program reads Single Input Single Output (SISO) or MIMO frequency response data, and determines the corresponding continuous transfer functions with Vector Fitting. Once the transfer function is calculated, the corresponding pole/zero diagram is mapped enabling the designers to analyze the stability of an amplifier. Three data processing methods are introduced, two of which consist of pole/zero elimina- tions and the latter one on determining the critical nodes of an amplifier. The first pole/zero elimination method is based on eliminating non resonant poles, whilst the second method eliminates the poles with small residue by assuming that their effect on the dynamics of a system is small or non-existent. The critical node detection is also based on the residues; the node at which the effect of a pole on the dynamics is highest is defined as the critical node. In order to evaluate and check the efficiency of the created program, it is compared via examples with another existing commercial stability analysis tool (STAN tool). In this report, the newly created tool is proved to be as rigorous as STAN for detecting instabilities. Additionally, it is determined that the MIMO analysis is a very profitable addition to stability analysis, since it helps to eliminate possible problems of loss of controllability, observability and overmodeling.

Efeitos da castração e reposição hormonal tardia no tecido erétil do pênis de ratos Sprague-Dawley

Estudos em animais e humanos sugerem que níveis adequados de testosterona são necessários para preservar a integridade do tecido eretor peniano. Nenhum estudo prévio confirmou se as mudanças estruturais são reversíveis após longo período de deprivação hormonal. Foi proposto a avaliação, através de métodos quantitativos, as alterações estruturais no corpo cavernoso de ratos submetidos à castração cirúrgica; bem como o papel da reposição hormonal tardia na reversão das possíveis alterações estruturais. Foram usados 25 ratos Sprague-Dawley machos com aproximadamente 12 semanas de idade. Os animais foram divididos em 5 grupos compostos por 5 animais em cada grupo e tratados da seguinte forma: ORQ1 = Grupo submetido à orquiectomia e sacrificado após 1 mês. C1- Grupo controle morto após 1 mês. ORQ2 - Grupo orquiectomizado e morto após 2 meses. C2 - Grupo controle morto após 2 meses. T Grupo orquiectomizado que recebeu, após 1 mês, suplementação com undecanoato de testosterona na dose de 100mg/ Kg subcutâneo. Após 1 mês de reposição hormonal os animais foram mortos.No Resultado Houve uma redução significativa no valor absoluto do colágeno, músculo liso, espaço sinusoidal e área total do corpo cavernoso após 2 meses no grupo castrado, quando comparado ao controle. Em termos gerais a densidade não apresentou nenhuma diferença significativa entre os grupos. A reposição hormonal com testosterona foi capaz de reverter as alterações observadas, demonstrando um aumento dos elementos estudados. A metodologia utilizada permitiu mostrar que valores absolutos demonstram melhor o que de fato ocorre com os elementos observados, eliminando um víeis de análise, quando se consideram os valores relativos. Esses resultados sugerem que a reposição, mesmo quando realizada tardiamente, foi eficaz na reversibilidade das alterações geradas pela castração