Let Λ0, . . . , Λn ⊂ R be a finite collection of lattices of the same volume. When does there exist a set Ω ⊂ R that is a fundamental domain for all Λi, i = 0, . . . , n? The main result of this paper is that when the (group-theoretic) sum Λ0 + · · · + Λn of the dual lattices is direct (this means that the equation x0 + · · · + xn = 0, with xi ∈ Λi , has no nontrivial solution), then a Borel me...

This document presents the results of the seminar “Conceptual Architecture Patterns” of the winter term 2002 in the Hasso–Plattner–Institute. It is a compilation of the student’s elaborations dealing with some conceptual architecture patterns which can be found in literature. One important focus laid on the runtime structures and the presentation of the patterns.

One of the major developments of twentieth century physics has been the gradual recognition that a common feature of the known fundamental interactions is their gauge structure. In this talk the early history of gauge theory is reviewed, emphasizing especially Weyl’s seminal contributions of 1918 and 1929.

ONSIDERABLE effort, in recent years, has been devoted to improving individual, unit, and organisational effectiveness, primarily through the implementation of various types of human resources management policies and practices. Such efforts have yielded mixed results, and we believe this is because the focus of attention has been on the interface of the individual employee with the organisation ...

It is widely believed that information and communication technology (ICT) enables organizations to decrease costs and increase capabilities and thus enables to shape interorganizational coordination. This paper describes guidelines with which the impact of ICT on interorganizational coordination structures can be predicted. The framework used consists of three perspectives: interorganizational ...

Resolving the incompleteness of Weil-Petersson metric on Teichmüller spaces by taking metric and geodesic completion results in two distinct spaces, where the Hopf-Rinow theorem is no longer relevant due to the singular behavior of the Weil-Petersson metric. We construct a geodesic completion of the Teichmüller space through the formalism of Coxeter complex with the Teichmüller space as its non...

In spite of its great phenomenological success, current models of scalar field-driven inflation suffer from important unresolved conceptual issues. New fundamental physics will be required to address these questions. String theory is a candidate for a unified quantum theory of all four forces of nature. As will be shown, string theory may lead to a cosmological background quite different from a...

Most insurance companies publish few data on the occurrence and detection of insurance fraud. This stands in contrast to the previous literature on costly state verification, which has shown that it is optimal to commit to an auditing strategy, as the credible announcement of thoroughly auditing claim reports might act as a powerful deterrent. We show that uncertainty about fraud detection can ...