Uniqueness of the Embedding Continuous Convolution Semigroup of a Gaussian Probability Measure on the Affine Group and an Application in Mathematical Finance

Let {μ(i)t}t≥0 ( i=1,2 ) be continuous convolution semigroups (c.c.s.) of probability measures on Aff(1) (the affine group on the real line). Suppose that μ(1)1=μ(2)1 . Assume furthermore that {μ(1)t}t≥0 is a Gaussian c.c.s. (in the sense that its generating distribution is a sum of a primitive distribution and a second-order differential operator). Then μ(1)t=μ(2)t for all t≥0 . We end up with a possible application in mathematical finance.

Rethinking science for sustainable development: Reflexive interaction for a paradigm transformation

If we postulate a need for the transformation of society towards sustainable development, we also need to transform science and overcome the fact/value split that makes it impossible for science to be accountable to society. The orientation of this paradigm transformation in science has been under debate for four decades, generating important theoretical concepts, but they have had limited impact until now. This is due to a contradictory normative science policy framing that science has difficulties dealing with, not least of all because the dominant framing creates a lock-in. We postulate that in addition to introducing transdisciplinarity, science needs to strive for integration of the normative aspect of sustainable development at the meta-level. This requires a strategically managed niche within which scholars and practitioners from many different disciplines can engage in a long-term common learning process, in order to become a “thought collective” (Fleck) capable of initiating the paradigm transformation. Arguing with Piaget that “decentration” is essential to achieve normative orientation and coherence in a learning collective, we introduce a learning approach—Cohn's “Theme-Centred Interaction”—which provides a methodology for explicitly working with the objectivity and subjectivity of statements and positions in a “real-world” context, and for consciously integrating concerns of individuals in their interdependence with the world. This should enable a thought collective to address the epistemological and ethical barriers to science for sustainable development.

Autophagy in malignant transformation and cancer progression.

Autophagy plays a key role in the maintenance of cellular homeostasis. In healthy cells, such a homeostatic activity constitutes a robust barrier against malignant transformation. Accordingly, many oncoproteins inhibit, and several oncosuppressor proteins promote, autophagy. Moreover, autophagy is required for optimal anticancer immunosurveillance. In neoplastic cells, however, autophagic responses constitute a means to cope with intracellular and environmental stress, thus favoring tumor progression. This implies that at least in some cases, oncogenesis proceeds along with a temporary inhibition of autophagy or a gain of molecular functions that antagonize its oncosuppressive activity. Here, we discuss the differential impact of autophagy on distinct phases of tumorigenesis and the implications of this concept for the use of autophagy modulators in cancer therapy.

Landscape Transformation and Sustainable Development in Ethiopia: Background information for a study tour through Ethiopia, 4-20 September 2006

This report presents background material used by participants in a joint Ethiopian-Swiss study tour through the north-central highlands of Ethiopia. The main theme of the tour was 'land transformation and sustainable development'. The tour took place from 4-20 September 2006, starting in Addis Abeba and continuing through North Shewa, Wello, Gonder and Gojam. This report is a structured compilation of information gathered by MSc candidates and scientists from the University of Bern prior to the study tour, and supplemented with daily reports by all participants after the study tour was completed.