On the Structure of Spatial Branching Processes

The paper is a contribution to the theory of branching processes with discrete time and a general phase space in the sense of [2]. We characterize the class of regular, i.e. in a sense sufficiently random, branching processes (Φk) k∈Z by almost sure properties of their realizations without making any assumptions about stationarity or existence of moments. This enables us to classify the clans of (Φk) into the regular part and the completely non-regular part. It turns out that the completely non-regular branching processes are built up from single-line processes, whereas the regular ones are mixtures of left-tail trivial processes with a Poisson family structure.

The Experience of the Arnamagnæan Institute, Copenhagen

The Arnamagnæan Institute, principally in the form of the present writer, has been involved in a number of projects to do with the digitisation, electronic description and text-encoding of medieval manuscripts. Several of these projects were dealt with in a previous article 'The view from the North: Some Scandinavian digitisation projects', NCD review, 4 (2004), pp. 22-30. This paper looks in some depth at two others, MASTER and CHLT. The Arnamagnæan Institute is a teaching and research institute within the Faculty of Humanities at the University of Copenhagen. It is named after the Icelandic scholar and antiquarian Árni Magnússon (1663-1730), secretary of the Royal Danish Archives and Professor of Danish Antiquities at the University of Copenhagen, who in the course of his lifetime built up what is arguably the single most important collection of early Scandinavian manuscripts in the world, some 2,500 manuscript items, the earliest dating from the 12th century. The majority of these are from Iceland, but the collection also contains important Norwegian, Danish and Swedish manuscripts, along with approximately 100 manuscripts of continental provenance. In addition to the manuscripts proper, there are collections of original charters and apographa: 776 Norwegian (including Faroese, Shetlandic and Orcadian) charters and 2895 copies, 1571 Danish charters and 1372 copies, and 1345 Icelandic charters and 5942 copies. When he died in 1730, Árni Magnússon bequeathed his collection to the University of Copenhagen. The original collection has subsequently been augmented through individual purchases and gifts and the acquisition of a number of smaller collections, bringing the total to nearly 3000 manuscript items, which, with the charters and apographa, comprise over half a million pages.