Tangent measures of non-doubling measures

We construct a non-doubling measure on the real line, all tangent measures of which are equivalent to Lebesgue measure.Comment: 17 pages, 5 figures. v2: Minor corrections throughout, and section six completely rewritten in a more reader-friendly style; Accepted to Math. Proc. Cambridge Philos. So

On Fourier analytic properties of graphs

We study the Fourier dimensions of graphs of real-valued functions defined on the unit interval [0,1]. Our results imply that the graph of the fractional Brownian motion is almost surely not a Salem set, answering in part a question of Kahane from 1993, and that the graph of a Baire typical function in C[0,1] has Fourier dimension zero.Comment: 11 pages, 1 figure; references added and typos corrected in v2; to appear in Int. Math. Res. Not. IMR

Glocalisation of global market forces and the repositioning of a peripheral Russian mining community

Increasing globalisation and global market forces shape the development of resource peripheries in the Barents region. Foreign direct investments are concrete example of global market forces. Their glocalisation forces the locals to evaluate their consequences for the local development and reposition their communities in global context. This article studies glocalisation of global market forces and preferred directions of repositioning of a peripheral single-industry mining community in the Russian Barents region. The study is based on a case study of local opinions about actual and potential external actors in the economic development of Kovdor, located in the Murmansk region. The paper analyses the preferred owner of the town-constituting enterprise and the local opinions about the EU, USA and China as potential investors to the case study community. The study reveals how local opinions about external forces in the local development are related to local life-worlds. Moreover, the paper shows the impact that economic, political, cultural, historical and technological factors have in forming these opinions about potential foreign investors. The study shows generally positive local opinions about FDI. However, significant differences were found in opinions about different investing countries.publishedVersio

Q-Ball Collisions in the MSSM

Collisions of non-topological solitons, Q-balls, are studied in the Minimal Supersymmetric Standard Model in two different cases: where supersymmetry has been broken by a gravitationally coupled hidden sector and by a gauge mediated mechanism at a lower energy scale. Q-ball collisions are studied numerically on a two dimensional lattice for a range of Q-ball charges. Total cross-sections as well as cross-sections for fusion and charge exchange are calculated.Comment: 5 pages, 3 figures, to appear in the Proceedings of Strong and Electroweak Matter (SEWM2000), Marseille, France, 14-17 June, 200