Log-mean linear models for binary data

This paper introduces a novel class of models for binary data, which we call log-mean linear models. The characterizing feature of these models is that they are specified by linear constraints on the log-mean linear parameter, defined as a log-linear expansion of the mean parameter of the multivariate Bernoulli distribution. We show that marginal independence relationships between variables can be specified by setting certain log-mean linear interactions to zero and, more specifically, that graphical models of marginal independence are log-mean linear models. Our approach overcomes some drawbacks of the existing parameterizations of graphical models of marginal independence

From rough to final designs by incremental set-inclusion of properties

Design of buildings is a complex task in which ideas are sketched and communicated, by representations that are incrementally elaborated from the early rough sketches to the final design. We claim, that today’s model–based design tools are restricted from fully supporting this process as they are founded on the principle that objects are instances of static types. Such systems do not offer work with objects being incrementally specialised according to their properties, and neither do they offer dynamics of the underlying type system.The present paper elaborates on a property–oriented approach as a foundation for design tools facilitating incremental design based on set–inclusion of properties. We emphasize the formal foundation for incorporating such dynamics, and we specify requirements for tools facilitating incremental design and offering improved semantic support

Stability of the magnetic Schr\"odinger operator in a waveguide

The spectrum of the Schr\"odinger operator in a quantum waveguide is known to be unstable in two and three dimensions. Any enlargement of the waveguide produces eigenvalues beneath the continuous spectrum. Also if the waveguide is bent eigenvalues will arise below the continuous spectrum. In this paper a magnetic field is added into the system. The spectrum of the magnetic Schr\"odinger operator is proved to be stable under small local deformations and also under small bending of the waveguide. The proof includes a magnetic Hardy-type inequality in the waveguide, which is interesting in its own

Inverse pressure-induced Mott transition in TiPO4_4

TiPO$_4$ shows interesting structural and magnetic properties as temperature and pressure are varied, such as a spin-Peierls phase transition and the development of incommensurate modulations of the lattice. Recently, high pressure experiments for TiPO$_4$ reported two new structural phases appearing at high pressures, the so-called phases IV and V [M. Bykov et al., Angew. Chem. Int. Ed. 55, 15053]. The latter was shown to include the first example of 5-fold O-coordinated P-atoms in an inorganic phosphate compound. In this work we characterize the electronic structure and other physical properties of these new phases by means of ab-initio calculations, and investigate the structural transition. We find that the appearance of phases IV and V coincides with a collapse of the Mott insulating gap and quenching of magnetism in phase III as pressure is applied. Remarkably, our calculations show that in the high pressure phase V, these features reappear, leading to an antiferromagnetic Mott insulating phase, with robust local moments

On the semi-classical analysis of the groundstate energy of the Dirichlet Pauli operator in non-simply connected domains

We consider the Dirichlet Pauli operator in bounded connected domains in the plane, with a semi-classical parameter. We show, in particular, that the ground state energy of this Pauli operator will be exponentially small as the semi-classical parameter tends to zero and estimate this decay rate. This extends our results, discussing the results of a recent paper by Ekholm--Kova\v{r}\'ik--Portmann, to include also non-simply connected domains.Comment: 15 pages, 4 figure

Early postglacial hunter-gatherers show environmentally driven “false logistic” growth in a low productivity environment

Studies that employ probability distributions of radiocarbon dates to study past population size often use exponential increase in radiocarbon dates with time as a standard of comparison for detecting population fluctuations. We show that in the case of early postglacial interior Scandinavia, however, the summed probability distribution of radiocarbon dates has best fit with a S-shaped logistic growth curve. Despite the logistic growth model having solid grounding in ecological theory, we further argue that what our data indicate is not logistic growth in the population ecological sense but “false logistic” growth that mainly follows from climatic and environmental forcing. In the initial postglacial phase, 9500–7500 BCE, human settlement was located almost exclusively along the Scandinavian Atlantic coast and the use of the mountainous interior remained low. Thereafter the formation of separate inland adaptations resulted in population growth in tandem with increasing climatic warming and environmental productivity. Some millennia later, when environmental productivity started to decrease after the Holocene Thermal Maximum, hunter-gatherer population size in interior Scandinavia reached a plateau that lasted at least 2000 years. Lowering productivity prevented any population growth that would be detectable in the available archaeological record.Peer reviewe

A Prescriptive Trilevel Equilibrium Model for Optimal Emissions Pricing and Sustainable Energy Systems Development

We explore the class of trilevel equilibrium problems with a focus on energy-environmental applications. In particular, we apply this trilevel framework to a power market model, exploring the possibilities of an international policymaker in reducing emissions of the system. We present two alternative solution methods for such problems and a comparison of the resulting model sizes. The first method is based on a reformulation of the bottom-level solution set, and the second one uses strong duality. The first approach results in optimality conditions that are both necessary and sufficient, while the second one results in a model with fewer constraints but only sufficient optimality conditions. Using the proposed methods, we are able to obtain globally optimal solutions for a realistic five-node case study representing the Nordic countries and assess the impact of a carbon tax on the electricity production portfolio.Comment: 21 pages, 5 figure

Erythrocyte antioxidant protection of rose hips (Rosa spp.)

Rose hips are popular in health promoting products as the fruits contain high content of bioactive compounds. The aim of this study was to investigate whether health benefits are attributable to ascorbic acid, phenols, or other rose-hip-derived compounds. Freeze-dried powder of rose hips was preextracted with metaphosphoric acid and the sample was then sequentially eluted on a C18 column. The degree of amelioration of oxidative damage was determined in an erythrocyte in vitro bioassay by comparing the effects of a reducing agent on erythrocytes alone or on erythrocytes pretreated with berry extracts. The maximum protection against oxidative stress, 59.4 ± 4.0% (mean standard deviation), was achieved when incubating the cells with the first eluted meta-phosphoric extract. Removal of ascorbic acid from this extract increased the protection against oxidative stress to 67.9 ± 1.9% . The protection from the 20% and 100% methanol extracts was 20.8 ± 8.2% and 5.0 ± 3.2% , respectively. Antioxidant uptake was confirmed by measurement of catechin by HPLC-ESI-MS in the 20% methanol extract. The fact that all sequentially eluted extracts studied contributed to protective effects on the erythrocytes indicates that rose hips contain a promising level of clinically relevant antioxidant protection

Rational Symplectic Field Theory for Legendrian knots

We construct a combinatorial invariant of Legendrian knots in standard contact three-space. This invariant, which encodes rational relative Symplectic Field Theory and extends contact homology, counts holomorphic disks with an arbitrary number of positive punctures. The construction uses ideas from string topology.Comment: 58 pages, many figures; v3: minor corrections; final version, to appear in Inventiones Mathematica