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In this work, we study and solve the normalized Ricci flow equation for circle bundles over surfaces. Moreover, we study the asymptotic behavior of the solutions and their connections to some model geometries. [ABSTRACT FROM AUTHOR]

Knowledge created outside the firm, but within the same region, is a key enabler of high-growth firms. This paper develops an entrepreneurial ecosystems conceptual framework focussing on knowledge spillovers and regional absorptive capacity, to account for interregional differences in high-growth firm rates. This is tested using panel data from 378 regions in Great Britain. Knowledge creation (SME-engaging and research-intensive universities, innovative firms) and knowledge spillovers (primarily through vertically related industries) reveal to be of key importance. Other key regional enablers of high growth firms pertain to entrepreneurship culture, talent, intermediate services, networks, finance and demand growth. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to use socioeconomic indicators for analyzing convergence within Greece at regional (NUTS II) and prefecture levels (NUTS III) since 1960. We use two alternative approaches. The first one is based on the coefficient of variation and the second one on quality of life rankings. We confirm the decline of regional inequalities in Greece, with the exclusion of the 1980s. Regions with increased tourist and trade activity are also regions with high quality of life. Border regions are usually the laggards of social and economic development.

To purchase or authenticate to the full-text of this article, please visit this link: http://dx.doi.org/10.1111/j.1467-9787.2008.00558.x Byline: Georgios Fotopoulos (1) Abstract: ABSTRACT. Working within the 'distributional approach,' this research offers evidence of past and future polarization in aggregate regional labor productivity in EU-15. This finding is robust to alternative definitions of the spatial units used and does not appear to be the result of regional structural change. Spatial effects are found but are of rather localized nature. Turning to separate sectoral analyses suggests that past and future polarization in labor productivity across European regions may be associated with regional productivity differences in the services sectors. Author Affiliation: (1)Department of Economics, University of Patras, University Campus-Rio, Patras 26504, Greece. E-mail:gfotop@upatras.gr Article History: Received October 2005; revised: December 2006; accepted April 2007.

This research examines the effect of knowledge spillovers on new firm formation across Greek regions in manufacturing over the period 2002–2010. The econometric analysis results reveal that knowledge spillovers, as proxied by innovation and high-tech labor measures, positively affect regional new firm formation rates. Intra-sectoral spillovers, as captured by geographic sectoral specialization and industrial intensity, also positively affect regional new firm formation. In contrast, inter-sectoral spillovers, as proxied by regional industrial diversity, reduce new firm formation across regions. The examination of other control variables suggests that GDP growth and small firms stimulate regional new firm formation, whereas sunk costs and unemployment have a discouraging effect. [ABSTRACT FROM AUTHOR]

We study the inverse scattering problem with fixed observation angle data for a non-linear Schrödinger equation in 2D. We show that the main singularities of an unknown potential can be recovered from the Born approximation. Numerical examples are given to illustrate the method. [ABSTRACT FROM AUTHOR]

The paper explores time-persistence in interregional differences of self-employment rates in England and Wales in the 1921–2011 period by using census data. The results suggest a strong path-dependence in entrepreneurship as past self-employment rates have strong bearing on future ones. However, there is also some rank mobility reflected in the upward movements of London boroughs and downward movements of primarily coastal areas. Rank mobility relates to structural changes, changes in human capital, regional age structures and immigration. [ABSTRACT FROM AUTHOR]

A correction notice for an article published in the periodical 'Growth and Change', Spring 2001 issue, entitled 'Regional Variations of Firm Births, Deaths and Growth Patterns in the UK, 1980-1991' is presented.

A study is presented which proposes that industrial concentration, as measured through localisation, is a more significant factor in the death of companies than in their creation. It is seen that in the UK, areas of higher concentration of industry level have lower levels of company births and deaths.

This work studies the direct and inverse fixed energy scattering problem for the two-dimensional Schrödinger equation with a rather limited nonlinear index of refraction. In particular, using the Born approximation, we prove that all singularities of the unknown compactly supported potential belonging incan be obtained uniquely by the scattering data with fixed positive energy. The proof is based on the new estimates for the Faddeev Green’s function in. The main achievement here is the computation of the Born approximation, which is carried out using the total variation regularization method. Numerical examples with noisy data are given to illustrate the effectiveness of the method. [ABSTRACT FROM AUTHOR]