Spectral theory of some non-selfadjoint linear differential operators

We give a characterisation of the spectral properties of linear differential operators with constant coefficients, acting on functions defined on a bounded interval, and determined by general linear boundary conditions. The boundary conditions may be such that the resulting operator is not selfadjoint. We associate the spectral properties of such an operator $S$ with the properties of the solution of a corresponding boundary value problem for the partial differential equation $\partial_t q \pm iSq=0$. Namely, we are able to establish an explicit correspondence between the properties of the family of eigenfunctions of the operator, and in particular whether this family is a basis, and the existence and properties of the unique solution of the associated boundary value problem. When such a unique solution exists, we consider its representation as a complex contour integral that is obtained using a transform method recently proposed by Fokas and one of the authors. The analyticity properties of the integrand in this representation are crucial for studying the spectral theory of the associated operator.

Clare Balding: the televisual face of London 2012

This piece discusses the performance of television presenter Claire Balding during her coverage of the Olympics and Paralympics of London 2012. It suggests that her success with viewers was connected with her persona as a television personality, which combined professional skill with intimacy and immediacy. It argues that Balding represented the face of contemporary public service broadcasting – one that bridges both the BBC and Channel 4’s brand identities – through her research and authority, combined with interaction with her audience with social media.

The impact of eBusiness on the City of London office market

The City of London is a major financial centre where the property market is heavily dependent on the space requirements of office occupiers. Technological change, however, is changing the way in which organisations conduct their business and is challenging the continued locational pull of the City. This research presents findings from a major survey of City occupiers carried out by The College research team during 2002. The research examines how the shape and form of the office property market in the City will be affected by process change in eBusiness and related technology over the next 5 years. The report, which includes an extensive literature review, examines the implications of increased homeworking and other trends for future office supply in the City. The research was funded by the Worshipful Company of Chartered Surveyors Trust (Toby Sutton Research Award), and part of the literature review by the Small Business Support Research Unit of DTI. It is essential reading for surveyors, planners, facilities managers and all those interested in the technology and property interface.

The role of location in knowledge creation and diffusion: evidence of centripetal and centrifugal forces in the City of London financial services agglomeration

In this paper we report on a major empirical study of centripetal and centrifugal forces in the City of London financial services agglomeration. The study sheds light on (1) the manner and magnitude of firm interaction in the agglomeration; (2) the characteristics of the agglomeration that aid the competitiveness of incumbent firms; and (3) the problems associated with agglomeration. In addressing these issues, we use the data to (1) test emerging theory that explains the high productivity and innovation of agglomerations in terms of their ability to generate and diffuse knowledge; and (2) evaluate the ‘end of geography’ thesis.

Ungulate behavioral responses to the heterogeneous road-network of a touristic protected area in Africa

Understanding how wildlife responds to road and traffic is essential for effective conservation. Yet, not many studies have evaluated how roads influence wildlife in protected areas, particularly within the large iconic African National Parks where tourism is mainly based on sightings from motorized vehicles with the consequent development and intense use of roads. To reduce this knowledge gap, we studied the behavioral response and local spatial distribution of impala Aepyceros melampus along the heterogeneous (with variation in road surface type and traffic intensity) road-network of Kruger National Park (KNP, South Africa). We surveyed different types of roads (paved and unpaved) recording the occurrence of flight responses among sighted impala and describing their local spatial distribution (in relation to the roads). We observed relatively few flight responses (19.5% of 118 observations), suggesting impalas could be partly habituated to vehicles in KNP. In addition, impala local distribution is apparently unaffected by unpaved roads, yet animals seem to avoid the close proximity of paved roads. Overall, our results suggest a negative, albeit small, effect of traffic intensity, and of presence of pavement on roads on the behavior of impala at KNP. Future studies would be necessary to understand how roads influence other species, but our results show that even within a protected area that has been well-visited for a long time, wildlife can still be affected by roads and traffic. This result has ecological (e.g., changes in spatial distribution of fauna) and management implications (e.g., challenges of facilitating wildlife sightings while minimizing disturbance) for protected areas where touristic activities are largely based on driving.