On the strategic choice of spatial price policy: the role of the pricing game rules.

The strategic choice of spatial price policy under duopoly crucially depends on the rules of price competition. We show that under simultaneous price competition and under leader-follower price competition (with the discriminatory firm being the leader), the pricing policy game is not, as stated by Thisse and Vives (1988), a Prisoner's Dilemma.

Diffuse interstellar bands {\lambda}5780 and {\lambda}5797 in the Antennae Galaxy as seen by MUSE

ABRIDGED: Diffuse interstellar bands (DIBs) are faint spectral absorption features of unknown origin. Research on DIBs beyond the Local Group (LG) will surely blossom in the era of the ELTs. A possibility that needs to be explored is the use of integral field spectrographs. We do so by using MUSE data for the Antennae Galaxy, the closest major galaxy merger. High S-to-N spectra were created by co-adding the signal of many spatial elements. The emission of the underlying stellar population was modeled using STARLIGHT. To our knowledge, we have derived the first maps for the DIBs at l5780 and l5797 in galaxies outside the LG. The l5780 DIB was detected in an area of ~0.6 arcmin2, corresponding to a linear scale of ~25 kpc2. This region was sampled using >200 independent lines of sight. The DIB l5797 was detected in >100 independent lines of sight. Both DIBs are associated with a region with high emission in the HI 21 cm line, implying a connection between atomic gas and DIBs, as the correlations for the Milky Way also suggest. Conversely, there is mild spatial association between the two DIBs and the molecular gas, in agreement with results for our Galaxy that indicate a lack of correlation between DIBs and molecular gas. The overall structure for the DIB strength distribution and extinction are comparable. Within the system, the l5780 DIB clearly correlates with the extinction. Both DIBs follow the relationship between equivalent width and reddening when data for several galaxies are considered. Unidentified Infrared emission Bands (UIBs, likely caused by PAHs) and the l5780 and l5797 DIBs show similar but not identical spatial distributions. We attribute the differences to extinction effects without necessarily implying a radically different nature of the respective carriers. The results illustrate the enormous potential of integral field spectrographs for extragalactic DIB research.Comment: 12 pages, 13 figures, accepted by Astronomy & Astrophysics; version corrected by English edito

Realizing Exactly Solvable SU(N) Magnets with Thermal Atoms

We show that $n$ thermal fermionic alkaline-earth atoms in a flat-bottom trap allow one to robustly implement a spin model displaying two symmetries: the $S_n$ symmetry that permutes atoms occupying different vibrational levels of the trap and the SU($N$) symmetry associated with $N$ nuclear spin states. The high symmetry makes the model exactly solvable, which, in turn, enables the analytic study of dynamical processes such as spin diffusion in this SU($N$) system. We also show how to use this system to generate entangled states that allow for Heisenberg-limited metrology. This highly symmetric spin model should be experimentally realizable even when the vibrational levels are occupied according to a high-temperature thermal or an arbitrary non-thermal distribution.Comment: 12 pages, 5 figures (including supplemental materials

Towards DIB mapping in galaxies beyond 100 Mpc. A radial profile of the λ\lambda5780.5 diffuse interstellar band in AM 1353-272 B

Diffuse Interstellar Bands (DIBs) are non-stellar weak absorption features of unknown origin found in the spectra of stars viewed through one or several clouds of Interstellar Medium (ISM). Research of DIBs outside the Milky Way is currently very limited. Specifically spatially resolved investigations of DIBs outside of the Local Group is, to our knowledge, inexistent. Here, we explore the capability of the high sensitivity Integral Field Spectrograph, MUSE, as a tool to map diffuse interstellar bands at distances larger than 100 Mpc. We use MUSE commissioning data for AM 1353-272 B, the member with highest extinction of the "The Dentist's Chair", an interacting system of two spiral galaxies. High signal-to-noise spectra were created by co-adding the signal of many spatial elements distributed in a geometry of concentric elliptical half-rings. We derived decreasing radial profiles for the equivalent width of the $\lambda$5780.5 DIB both in the receding and approaching side of the companion galaxy up to distances of $\sim$4.6 kpc from the center of the galaxy. Likewise, interstellar extinction, as derived from the Halpha/Hbeta line ratio displays a similar trend, with decreasing values towards the external parts. This translates into an intrinsic correlation between the strength of the DIB and the extinction within AM 1353-272 B consistent with the current existing global trend between these quantities when using measurements for both Galactic and extragalactic sight lines. Mapping of DIB strength in the Local Universe as up to now only done for the Milky Way seems feasible. This offers a new approach to study the relationship between DIBs and other characteristics and species of the ISM in different conditions as those found in our Galaxy to the use of galaxies in the Local Group and/or single sightlines towards supernovae, quasars and galaxies outside the Local Group.Comment: 4 pages, 4 figures, accepted for publication as a Letter in Astronomy and Astrophysics; Received 10 February 2015 / Accepted 20 February 2015 ; English corrections include

Analysis and Assembling of Network Structure in Mutualistic Systems

It has been observed that mutualistic bipartite networks have a nested structure of interactions. In addition, the degree distributions associated with the two guilds involved in such networks (e.g. plants & pollinators or plants & seed dispersers) approximately follow a truncated power law. We show that nestedness and truncated power law distributions are intimately linked, and that any biological reasons for such truncation are superimposed to finite size effects . We further explore the internal organization of bipartite networks by developing a self-organizing network model (SNM) that reproduces empirical observations of pollination systems of widely different sizes. Since the only inputs to the SNM are numbers of plant and animal species, and their interactions (i.e., no data on local abundance of the interacting species are needed), we suggest that the well-known association between species frequency of interaction and species degree is a consequence rather than a cause, of the observed network structure.Comment: J. of. Theor. Biology, in pres

Discovery of an old nova remnant in the Galactic globular cluster M 22

A nova is a cataclysmic event on the surface of a white dwarf in a binary system that increases the overall brightness by several orders of magnitude. Although binary systems with a white dwarf are expected to be overabundant in globular clusters (GCs) compared to the Galaxy, only two novae from Galactic globular clusters have been observed. We present the discovery of an emission nebula in the Galactic globular cluster M 22 (NGC 6656) in observations made with the integral-field spectrograph MUSE. We extract the spectrum of the nebula and use the radial velocity determined from the emission lines to confirm that the nebula is part of NGC 6656. Emission-line ratios are used to determine the electron temperature and density. It is estimated to have a mass of 1 to $17 \times 10^{-5}$ solar masses. This mass and the emission-line ratios indicate that the nebula is a nova remnant. Its position coincides with the reported location of a 'guest star', an ancient Chinese term for transients, observed in May 48 BCE. With this discovery, this nova may be one of the oldest confirmed extrasolar events recorded in human history.Comment: 7 pages, 3 figures; accepted for publication in Astronomy & Astrophysic

Simple flow cytometric detection of haemozoin containing leukocytes and erythrocytes for research on diagnosis, immunology and drug sensitivity testing

<p>Abstract</p> <p>Background</p> <p>Malaria pigment (haemozoin, Hz) has been the focus of diverse research efforts. However, identification of Hz-containing leukocytes or parasitized erythrocytes is usually based on microscopy, with inherent limitations. Flow cytometric detection of depolarized Side-Scatter is more accurate and its adaptation to common bench top flow cytometers might allow several applications. These can range from the <it>ex-vivo </it>and <it>in-vitro </it>detection and functional analysis of Hz-containing leukocytes to the detection of parasitized Red-Blood-Cells (pRBCs) to assess antimalarial activity.</p> <p>Methods</p> <p>A standard benchtop flow cytometer was adapted to detect depolarized Side-Scatter. Synthetic and <it>Plasmodium falciparum </it>Hz were incubated with whole blood and PBMCs to detect Hz-containing leukocytes and CD16 expression on monocytes. C5BL/6 mice were infected with <it>Plasmodium berghei </it>ANKA or <it>P. berghei </it>NK65 and Hz-containing leukocytes were analysed using CD11b and Gr1 expression. Parasitized RBC from infected mice were identified using anti-Ter119 and SYBR green I and were analysed for depolarized Side Scatter. A highly depolarizing RBC population was monitored in an <it>in-vitro </it>culture incubated with chloroquine or quinine.</p> <p>Results</p> <p>A flow cytometer can be easily adapted to detect depolarized Side-Scatter and thus, intracellular Hz. The detection and counting of Hz containing leukocytes in fresh human or mouse blood, as well as in leukocytes from <it>in-vitro </it>experiments was rapid and easy. Analysis of CD14/CD16 and CD11b/Gr1 monocyte expression in human or mouse blood, in a mixed populations of Hz-containing and non-containing monocytes, appears to show distinct patterns in both types of cells. Hz-containing pRBC and different maturation stages could be detected in blood from infected mice. The analysis of a highly depolarizing population that contained mature pRBC allowed to assess the effect of chloroquine and quinine after only 2 and 4 hours, respectively.</p> <p>Conclusions</p> <p>A simple modification of a flow cytometer allows for rapid and reliable detection and quantification of Hz-containing leukocytes and the analysis of differential surface marker expression in the same sample of Hz-containing <it>versus </it>non-Hz-containing leukocytes. Importantly, it distinguishes different maturation stages of parasitized RBC and may be the basis of a rapid no-added-reagent drug sensitivity assay.</p