The complex plank problem

It is shown that if $(v_{j})$ is a sequence of norm $1$ in a complex Hilbert space and $(t_{j})$ is a sequence of nonnegative numbers satisfying $\sum t_{j}^{2}=1$ then there is a unit vector z for which $|\langle v_{j}, z \rangle|\geq t_{j} for every j. The result is a strong, complex analogue of the author's real plank theorem

Stability for Borell-Brascamp-Lieb inequalities

We study stability issues for the so-called Borell-Brascamp-Lieb inequalities, proving that when near equality is realized, the involved functions must be $L^1$-close to be $p$-concave and to coincide up to homotheties of their graphs.Comment: to appear in GAFA Seminar Note

Public rules about using and owning real estate in Cuba

The discussion on urban land continues to be absent in most of the specialized Cuban literature about planning and economic policies, despite its relevance. In very thorough essays about the present challenges and future development of the Cuban economy, nothing is said about the need for adequate public land policies and the implementation of public value capture mechanisms as part of the economic development of the country. The issue is complex, there is a void of almost half a century of not dealing with land value, but these reasons are not sufficient to justify the continued lack of vision in this direction, all the more when the Cuban cities are in desperate need to reverse the deterioration and stagnation that affects them. The Cuban state determines the general rules under which citizens and organisations may own and use real estate. These are rules about property rights and about the limitations - in compliance with aspects such as state security, environmental and heritage protection, economic development, social equity and human and civil rights – on exercising those rights. In doing this, the Cuban state is no different from other states: most states make such rules and enforce them when necessary. What is particular to Cuba is the content of those rules. In particular, the Cuban state has the monopoly to perform land development and management. There are public institutions to plan and deal with all of these aspects, and there are no recognised real estate markets in the country. Another important aspect is the utmost importance given to planning. But in spite of this, Cuban urban planners have rarely been certain of what will be built and where. The main reason for this may be that, despite the numerous master plans to study and anticipate development trends, most of the decisions ultimately involve top officials who envision the projects and establish the investment priorities according to the public interests or needs and the historical moment, irrespective of the plans. This article intends to give a clear picture of how things are done in the public sector, how the administration works, and under which legal framework. I will look at the physical planning system and its importance in the location and implementation of land use, investment projects and housing programs, and at the legal procedures that include licenses for construction, demolition, habitat and other licenses for heritage conservation and redevelopment. I will analyze the difficulties faced by the Cuban planning and legal system with respect to land and urban development, in the attempt to understand the limits imposed by the government on land and urban development, and I will explore to what extent those limits are to blame for the increasing irregularities and violations at all levels of the formal procedures for land and property. I will also introduce the public and personal rights concerning housing, buying and selling, permutes, donations and other tenure alternatives; and clarify the civil responsibilities, namely types of ownership, properties, property registers and so forth in order to expose the opportunities and accessibility of the system but also its limitations

The Verifying Compiler: A Grand Challenge for Computing Research

Abstract. This contribution proposes a set of criteria that distinguish a grand challenge in science or engineering from the many other kinds of short-term or long-term research problems that engage the interest of scientists and engineers. As an example drawn from Computer Science, it revives an old challenge: the construction and application of a verifying compiler that guarantees correctness of a program before running it. Introduction. The primary purpose of the formulation and promulgation of a grand challenge is the advancement of science or engineering. A grand challenge represents a commitment by a significant section of the research community to work together towards a common goal, agreed to be valuable and achievable by a team effort within a predicted timescale. The challenge is formulated by th

Psychological distress and quality of life in lung cancer: The role of health-related stigma, illness appraisals and social constraints

Objective: Health-related stigma is associated with negative psychological and quality of life outcomes in lung cancer patients. This study describes the impact of stigma on lung cancer patients\u27 psychological distress and quality of life and explores the role of social constraints and illness appraisal as mediators of effect. Methods: A self-administered cross-sectional survey examined psychological distress and quality of life in 151 people (59% response rate) diagnosed with lung cancer from Queensland and New South Wales. Health-related stigma, social constraints and illness appraisals were assessed as predictors of adjustment outcomes. Results: Forty-nine percent of patients reported elevated anxiety; 41% were depressed; and 51% had high global distress. Health-related stigma was significantly related to global psychological distress and quality of life with greater stigma and shame related to poorer outcomes. These effects were mediated by illness appraisals and social constraints. Conclusions: Health-related stigma appears to contribute to poorer adjustment by constraining interpersonal discussions about cancer and heightening feelings of threat. There is a need for the development and evaluation of interventions to ameliorate the negative effects of health-related stigma among lung cancer patients

Violent and victimized bodies: sexual violence policy in England and Wales

This paper uses the notion of the body to frame an archaeology of sexual violence policy in England and Wales, applying and developing Pillow’s ideas. It argues that the dominant construction is of sexual violence as an individualized crime, with the solution being for a survivor to report, and with support often instrumentalized in relation to criminal justice objectives. However, criminal justice proceedings can intensify or create further trauma for sexual violence survivors. Furthermore, in addition to criminalizing the violent body and supporting the victimized one, there is a need for policy to produce alternative types of bodies through preventative interventions. Much sexual violence is situated within (hetero) sexual dynamics constructing a masculine aggressor and a feminine body which eventually yields. Prevention must therefore focus on developing embodied boundaries, and narratives at the margins of policy could underpin such efforts

Final-State Phases in B→Dπ,D∗πB \to D \pi, D^* \pi, and DρD \rho Decays

The final-state phases in $\bar{B} \to D \pi, D^* \pi$, and $D \rho$ decays appear to follow a pattern similar to those in $D \to \bar{K} \pi$, $\bar{K}^* \pi$, and $\bar{K} \rho$ decays. Each set of processes is characterized by three charge states but only two independent amplitudes, so the amplitudes form triangles in the complex plane. For the first two sets the triangles appear to have non-zero area, while for the $D \rho$ or $\bar{K} \rho$ decays the areas of the triangles are consistent with zero. Following an earlier discussion of this behavior for $D$ decays, a similar analysis is performed for B decays, and the relative phases and magnitudes of contributing amplitudes are determined. The significance of recent results on \ob \to D^{(*)0} \bar{K}^{(*)0} is noted. Open theoretical and experimental questions are indicated.Comment: 16 pages, LaTeX, 3 figures, to be submitted to Phys. Rev. D. References added; comments on new experimental results and analysi

Fitting the integrated Spectral Energy Distributions of Galaxies

Fitting the spectral energy distributions (SEDs) of galaxies is an almost universally used technique that has matured significantly in the last decade. Model predictions and fitting procedures have improved significantly over this time, attempting to keep up with the vastly increased volume and quality of available data. We review here the field of SED fitting, describing the modelling of ultraviolet to infrared galaxy SEDs, the creation of multiwavelength data sets, and the methods used to fit model SEDs to observed galaxy data sets. We touch upon the achievements and challenges in the major ingredients of SED fitting, with a special emphasis on describing the interplay between the quality of the available data, the quality of the available models, and the best fitting technique to use in order to obtain a realistic measurement as well as realistic uncertainties. We conclude that SED fitting can be used effectively to derive a range of physical properties of galaxies, such as redshift, stellar masses, star formation rates, dust masses, and metallicities, with care taken not to over-interpret the available data. Yet there still exist many issues such as estimating the age of the oldest stars in a galaxy, finer details ofdust properties and dust-star geometry, and the influences of poorly understood, luminous stellar types and phases. The challenge for the coming years will be to improve both the models and the observational data sets to resolve these uncertainties. The present review will be made available on an interactive, moderated web page (sedfitting.org), where the community can access and change the text. The intention is to expand the text and keep it up to date over the coming years.Comment: 54 pages, 26 figures, Accepted for publication in Astrophysics & Space Scienc