Singular Behavior of Eigenstates in Anderson's Model of Localization

We observe a singularity in the electronic properties of the Anderson Model of Localization with bounded diagonal disorder, which is clearly distinct from the well-established mobility edge (localization-delocalization transition) that occurs in dimensions $d>2$. We present results of numerical calculations for Anderson's original (box) distribution of onsite disorder in dimensions $d$ = 1, 2 and 3. To establish this hitherto unreported behavior, and to understand its evolution with disorder, we contrast the behavior of two different measures of the localization length of the electronic wavefunctions - the averaged inverse participation ratio and the Lyapunov exponent. Our data suggest that Anderson's model exhibits richer behavior than has been established so far.Comment: Correction to v1: Fig.3 caption now displaye

Beurling algebra analogues of the classical theorems of Wiener and Levy on absolutely convergent Fourier series

Let $f$ be a continuous function on the unit circle $\Gamma$, whose Fourier series is $\omega$-absolutely convergent for some weight $\omega$ on the set of integers $\mathcal{Z}$. If $f$ is nowhere vanishing on $\Gamma$, then there exists a weight $\nu$ on $\mathcal{Z}$ such that $1/f$ had $\nu$-absolutely convergent Fourier series. This includes Wiener's classical theorem. As a corollary, it follows that if $\phi$ is holomorphic on a neighbourhood of the range of $f$, then there exists a weight $\chi$ on $\mathcal{Z}$ such that \hbox{$\phi\circ f$} has $\chi$-absolutely convergent Fourier series. This is a weighted analogue of L\'{e}vy's generalization of Wiener's theorem. In the theorems, $\nu$ and $\chi$ are non-constant if and only if $\omega$ is non-constant. In general, the results fail if $\nu$ or $\chi$ is required to be the same weight $\omega$.Comment: 4 page

The Augustan Principate and the Emergence of Biopolitics: A Comparative Historical Perspective

This paper uses Foucault’s concepts “discipline” and “biopower” to expose the complexity of power relations in Augustan Rome and its historiography. Focusing on Augustus’ Res Gestae and Tacitus’ Annales, I argue that the absolute sovereignty of the emperor did not preclude the advancement of techniques to classify, hierarchize and normalize individuals, nor did Imperial sovereignty work against the development of a discourse about the enhancement and protection of the population. By demonstrating the conceptual and historical relevancy of Foucault’s modern power triad of “sovereignty-discipline-government” to first century CE Rome, the paper suggests that biopolitical societies have a far more extensive history than the one said to have started around the turn of the eighteenth century

NGC 7419: A young open cluster with a number of very young intermediate mass pre-MS stars

We present a photometric and spectroscopic study of the young open cluster NGC 7419, which is know to host a large number of classical Be stars for reasons not well understood. Based on CCD photometric observations of 327 stars in UBV passbands, we estimated the cluster parameters as, reddening E(B-V) = 1.65 +/- 0.15 mag and distance = 2900 +/- 400 pc. The turn off age of the cluster was estimated as 25 +/- 5 Myr using isochrone fits. UBV data of the stars were combined with JHK data from 2MASS and were used to create the near infrared (NIR) (J-H) vs (H-K) colour-colour diagram. A large fraction of stars (42%) was found to have NIR excess and their location in the diagram was used to identify them as intermediate mass pre-MS stars. The isochrone fits to pre-MS stars in the optical colour-magnitude diagram showed that the turn-on age of the cluster is 0.3 - 3 Myr. This indicates that there has been a recent episode of star formation in the vicinity of the cluster. Slit-less spectra were used to identify 27 stars which showed H-alpha in emission in the field of the cluster, of which 6 are new identifications. All these stars were found to show NIR excess and located closer to the region populated by Herbig Ae/Be stars in the (J-H) vs (H-K) diagram. Slit spectra of 25 stars were obtained in the region 3700A - 9000A. The spectral features were found to be very similar to those of Herbig Be stars. Those stars were found to be more reddened than the main sequence stars by 0.4 mag on an average. Thus the emission line stars found in this cluster are more similar to the Herbig Be type stars where the circumstellar material is the remnant of the accretion disk.Comment: 20 pages, 11 figures, Accepted for publishing in MNRAS on April 19, 200

An interactive tool for real time feedback on diagnosis and treatment plan of arthritis based on C++ programing language

Arthritis causes joint inflammation where body’s immunity against disease or injury becomes overactive leading to swelling, pain and stiffness and it also can lead to tissue damage. Anatomically, arthritis usually affects the synovial joints in majority where the articular bones are covered by hyaline cartilages. The clinically significant arthritis are Osteoarthritis, Rheumatoid Arthritis, Septic arthritis and Juvenile Arthritis which features pain in the joints and typically worsen with age. Since the clinical burden due to arthritis is huge and due to the difficulties in proper differentiation and diagnosis of a particular arthritis, the examiner should determine the nature of the underlying pathologic process. Arthritis can be infectious (infection with Neisseria gonorrhea or Mycobacterium tuberculosis), crystal-induced (gout, pseudo-gout), immune-related [rheumatoid arthritis (RA), systemic lupus erythematous (SLE)], reactive (rheumatic fever, Reiter's syndrome), or idiopathic. Current project imposes the use of C++ programming language in order to construct an interactive platform for the diagnosis and treatment of Arthritis. Huge amount of work has been done on various diseases to design a platform where on the basis of symptoms, diseases can be treated promptly; however, in the field of arthritis, study is lacking. Briefly, an algorithm was prepared for classifying the types of arthritis based upon the symptoms and signs as obtained from the patient

Understanding the effectiveness of government interventions against the resurgence of COVID-19 in Europe

As European governments face resurging waves of COVID-19, non-pharmaceutical interventions (NPIs) continue to be the primary tool for infection control. However, updated estimates of their relative effectiveness have been absent for Europe’s second wave, largely due to a lack of collated data that considers the increased subnational variation and diversity of NPIs. We collect the largest dataset of NPI implementation dates in Europe, spanning 114 subnational areas in 7 countries, with a systematic categorisation of interventions tailored to the second wave. Using a hierarchical Bayesian transmission model, we estimate the effectiveness of 17 NPIs from local case and death data. We manually validate the data, address limitations in modelling from previous studies, and extensively test the robustness of our estimates. The combined effect of all NPIs was smaller relative to estimates from the first half of 2020, indicating the strong influence of safety measures and individual protective behaviours--such as distancing--that persisted after the first wave. Closing specific businesses was highly effective. Gathering restrictions were highly effective but only for the strictest limits. We find smaller effects for closing educational institutions compared to the first wave, suggesting that safer operation of schools was possible with a set of stringent safety measures including testing and tracing, preventing mixing, and smaller classes. These results underscore that effectiveness estimates from the early stage of an epidemic are measured relative to pre-pandemic behaviour. Updated estimates are required to inform policy in an ongoing pandemic