A theory of hypoellipticity and unique ergodicity for semilinear stochastic PDEs

We present a theory of hypoellipticity and unique ergodicity for semilinear parabolic stochastic PDEs with "polynomial" nonlinearities and additive noise, considered as abstract evolution equations in some Hilbert space. It is shown that if Hörmander's bracket condition holds at every point of this Hilbert space, then a lower bound on the Malliavin covariance operatorμt can be obtained. Informally, this bound can be read as "Fix any finite-dimensional projection on a subspace of sufficiently regular functions. Then the eigenfunctions of μt with small eigenvalues have only a very small component in the image of Π." We also show how to use a priori bounds on the solutions to the equation to obtain good control on the dependency of the bounds on the Malliavin matrix on the initial condition. These bounds are sufficient in many cases to obtain the asymptotic strong Feller property introduced in [HM06]. One of the main novel technical tools is an almost sure bound from below on the size of "Wiener polynomials," where the coefficients are possibly non-adapted stochastic processes satisfying a Lips chitz condition. By exploiting the polynomial structure of the equations, this result can be used to replace Norris' lemma, which is unavailable in the present context. We conclude by showing that the two-dimensional stochastic Navier-Stokes equations and a large class of reaction-diffusion equations fit the framework of our theory.

Studies of Microthrix parvicella in situ and in laboratory culture: production and use of specific antibodies

Physiological studies on M. parvicella have been conducted to determine the rate of growth of this organism in pure culture. The organism displayed a doubling time of 128 days despite its profuse abundance in a local Wastewater Treatment Plant (WWTW). An extensive survey has been ongoing since February 2000 into the extent of M. parvicella in the WWTW. A suite of monoclonal and polyclonal antibodies has been developed to detect and quantify M. parvicella.

Simplified theory of wideband spectra of liquid H2O and D2O (from 0 to 1000 cm(-1)) due to reorienting polar and vibrating H-bonded water molecules

A semi-phenomenological molecular model is presented, which is capable of describing with the use of analytical formulae, the wideband dielectric(1) and far-infrared spectra of ordinary and heavy water. In the model the vector of a dipole moment is presented as a sum of two components. The absolute value of the first one is constant; the second one changes harmonically with time. The key aspect of this work is consideration of FIR spectra due to the second component. In the context of the modified hybrid model presented in the work, reorientation of the dipoles in the rectangular potential well is considered, as a result of which the librational (near 700 cm (-1)) and translational (near 200 cm (-1)) absorption bands and the microwave Debye relaxation spectrum arise. It is shown that the time-dependent part of a dipole moment contributes most to the translational band, the relevant mechanism is taken to be stretching vibration of the H-bonded molecules. Previous linear-response molecular models were unsuccessful in describing this band (in heavy water) in terms of the complex dielectric permittivity. The spatial and time scales characteristic of water are estimated. (C) 2002 Elsevier Science B.V. All rights reserved.

High tech start-ups in University Science Park incubators: The relationship between the start-up’s lifecycle progression and use of the incubator’s resources

University Science Park incubators (USIs) have emerged as a means by which Government, academia and business can develop high technology business firms (spin out HTBFs) from initial conception through to becoming established small firms, which are ready to move beyond the Science Park confines. Although there is considerable literature on how USIs can be improved and developed there is a paucity of studies, which explore how lifecycle development within HTBFs in USIs can affect how they use the unique resources and opportunities of the USI. Moreover, there is a focus on single point in time studies, which do not adequately investigate the longitudinal dynamics of HTBF lifecycle development within USIs. Therefore, the aim of this paper is to explore the longitudinal use of the unique resources of the USI by HTBFs at different lifecycle stages. The research methodology involved 18 HTBFs within two separate USIs. A series of longitudinal interviews and focus groups were conducted with HTBFs and USI staff over a 36-month period. NUD*IST software was used in developing the coding and analysis of transcripts. The results show that a HTBF's propensity to make effective use of the USI's resources and support increases as the lifecycle stage of the company increases and the small-firm searches for independence and autonomy. Therefore, further research is required to investigate the following two outstanding questions; firstly, which usage pattern is associated with the HTBF's ultimate success or failure in the marketplace? And secondly, are there any services missing from the observed array that the USI could provide to enhance the HTBF's degree of ultimate success? © 2007 Elsevier Ltd. All rights reserved.

How position, velocity, and temporal information combine in the prospective control of catching:data and model

The cerebral cortex contains circuitry for continuously computing properties of the environment and one's body, as well as relations among those properties. The success of complex perceptuomotor performances requires integrated, simultaneous use of such relational information. Ball catching is a good example as it involves reaching and grasping of visually pursued objects that move relative to the catcher. Although integrated neural control of catching has received sparse attention in the neuroscience literature, behavioral observations have led to the identification of control principles that may be embodied in the involved neural circuits. Here, we report a catching experiment that refines those principles via a novel manipulation. Visual field motion was used to perturb velocity information about balls traveling on various trajectories relative to a seated catcher, with various initial hand positions. The experiment produced evidence for a continuous, prospective catching strategy, in which hand movements are planned based on gaze-centered ball velocity and ball position information. Such a strategy was implemented in a new neural model, which suggests how position, velocity, and temporal information streams combine to shape catching movements. The model accurately reproduces the main and interaction effects found in the behavioral experiment and provides an interpretation of recently observed target motion-related activity in the motor cortex during interceptive reaching by monkeys. It functionally interprets a broad range of neurobiological and behavioral data, and thus contributes to a unified theory of the neural control of reaching to stationary and moving targets.

Electronic properties of interfaces and defects from many-body perturbation theory: Recent developments and applications

We review some recent developments in many body perturbation theory (MBPT) calculations that have enabled the study of interfaces and defects. Starting from the theoretical basis of MBPT, Hedin's equations are presented, leading to the CW and CWI' approximations. We introduce the perturbative approach, that is the one most commonly used for obtaining quasiparticle (QP) energies. The practical strategy presented for dealing with the frequency dependence of the self energy operator is based on either plasmon-pole models (PPM) or the contour deformation technique, with the latter being more accurate. We also discuss the extrapolar method for reducing the number of unoccupied states which need to be included explicity in the calculations. The use of the PAW method in the framework of MBPT is also described. Finally, results which have been obtained using, MBPT for band offsets a interfaces and for defects presented, with companies on the main difficulties and cancels.

Schematic representation of the QP corrections (marked with ) to the band edges (E and E-v) and a defect level (F) for a Si/SiO2 interface (Si and O atoms are represented in blue and red, respectively, in the ball and stick model) with an oxygen vacancy leading to a Si-Si bond (the Si atoms involved in this bond are colored light blue).

The ones that come ready made:The identification and use of Sus tusks as tools at prehistoric cave sites in Malaysia

Evidence for osseous technologies has featured in excavation reports from Southeast Asia for almost a century and from archaeological deposits as old as 43,000 years BP. However, in contrast to the significance that is placed on this technology in other parts of the world, until recently, Southeast Asian assemblages have drawn only very limited attention. Concentrating on evidence from Malaysia, the current paper examines one element of this inventory of tools: the deliberate modification of pig canines and the means by which such alteration can be distinguished from patterns of natural tooth wear. Particular attention is paid to the bearded pig (Sus barbatus), as it is one of the two species of wild boar in Malaysia whose tusks are most likely to have been used by prehistoric toolmakers. Reference is also made to wider, regional ethnographic examples of known tusk implements and their accredited uses to further assist in the identification process. Distinguishing criteria for worked tusk are formulated according to the type and extent of modification. These criteria are then applied to archaeological specimens recovered from two prehistoric cave sites in Malaysia, Gua Bintong and Niah Cave.

Navigating Grounded Theory:A critical and reflective response to the challenges of using grounded theory in an education PhD

This paper offers a critical reflection upon the use of a grounded theory approach within a doctoral study. As well as providing an outline of grounded theory, it begins by noting the existence of some powerful critiques of a grounded theory approach, in particular around the key concepts of ‘theory’, ‘discovery’ and ‘ground’. It is argued that, in some cases, grounded theory struggles to counter these challenges, especially in its ‘purist’ forms. However, with reference to research carried out as part of a PhD study of sharing education in Northern Ireland which employed a grounded theory approach, a case is made for an open and critical grounded theory based upon three principles: pragmatism; research as practice; and reflexivity. It is concluded that a reasonable case can be made for grounded theory where: grounded theory researchers maintain a balance between belonging to and critique of the grounded theory community; where there is an emphasis upon theorizing rather than the discovery of theory; and where the strengths of grounded theory as 'practice' and 'craft' are maximised.

Philosophies, traditional pedagogy, and new technologies: a report on a case study of EAP teachers' integration of technology into traditional practice

This chapter reports on a study of teachers in transition, developing their practice and their cognitions regarding the integration of learning technologies with traditional approaches to the teaching of English for Academic Purposes (EAP). Taking a case study approach, it examines developments in the practice of three teachers during and after a teacher education programme on the use of technology in the EAP classroom. This is a study of cognition, teaching philosophy, and the relationship between pedagogy, technology, and content, and how teachers situate these within their own practice. The setting is the rapidly changing UK higher education environment, where the speed of change is such that today's latest fashions and gadgets may well be yesterday's news tomorrow. Thus, this is not a tale of individual technologies or tools to make teachers' lives better. This is a story of people, of pedagogy's traditional values intersecting with technology, and the issues arising from this, alongside the evolution of strategies for dealing with these issues.

Toward a grounded theory of trigger events and leadership development in early adulthood

The purpose of this research study was to develop a conceptual model through the use of a grounded theory approach, which explains how trigger events are related to leadership development. Trigger events are experience that cause developmental growth and may result in an increased ability to lead (Luthans and Avolio (2003). In this study, there were two phases of data collection. First participants completed the Washington University Sentence Completion Test (WUSCT), where their respective leadership developmental stage was measured. Second, participants were involved in two in-depth interviews where an understanding was reached as to how various trigger events have impacted their leadership development. From these data, a conceptual model was developed to explain the relationship between trigger events and leadership development. Participants described trigger events as being important developmental periods, during which time they grew as people and became more capable leaders.

Perceptions of Technology and Manifestations of Language Learner Autonomy

a grounded theory study investigating perceptions of technology by learners of English as a second language

The adoption and use of SMS among Chinese teenagers

Ce mémoire examine l'adoption des téléphones mobiles et l'utilisation des messages texte (SMS) par les adolescents chinois, selon la théorie des usages et gratifications et de la recherche sur la communication par ordinateur. Certains champs particuliers de l'utilisation des messages textes par les adolescents chinois, comme le contrôle parental, la circulation des chaînes de messages, la popularité des messages de salutations et l'utilisation répandue des émoticônes ont été étudiés. La fonction sociale des SMS, plus particulièrement des pratiques sociales et des relations émotionnelles des adolescents chinois, a également été explorée. Cette étude est basée sur un sondage réalisé sur le terrain auprès de 100 adolescents chinois. Elle révèle que chez les adolescents chinois, les deux principales raisons pour l'adoption du téléphone mobile sont l'influence parentale et le besoin de communication sociale. Quant à l'utilisation des messages texte, elle répond à sept usages et gratifications : la flexibilité, le coût modique, l’intimité, éviter l'embarras, le divertissement, l'engouement et l'évasion. Il a également été observé que les messages texte jouent un rôle positif dans la construction et l'entretien des relations sociales des adolescents chinois.

Theory of differential inequalities with appliciations to singular perturbiation problems and method of lines

During recent years, the theory of differential inequalities has been extensively used to discuss singular perturbation problems and method of lines to partial differential equations. The present thesis deals with some differential inequality theorems and their applications to singularly perturbed initial value problems, boundary value problems for ordinary differential equations in Banach space and initial boundary value problems for parabolic differential equations. The method of lines to parabolic and elliptic differential equations are also dealt The thesis is organised into nine chapters