mm-bigness in compatible systems

Taylor-Wiles type lifting theorems allow one to deduce that for $\rho$ a "sufficiently nice" $l$-adic representation of the absolute Galois group of a number field whose semi-simplified reduction modulo $l$, denoted $\overline{\rho}$, comes from an automorphic representation then so does $\rho$. The recent lifting theorems of Barnet-Lamb-Gee-Geraghty-Taylor impose a technical condition, called \emph{$m$-big}, upon the residual representation $\overline{\rho}$. Snowden-Wiles proved that for a sufficiently irreducible compatible system of Galois representations, the residual images are \emph{big} at a set of places of Dirichlet density $1$. We demonstrate the analogous result in the \emph{$m$-big} setting using a mild generalization of their argument

Future directions in urban design as public policy: reassessing best practice principles for design review and development management

his paper reassesses John Punter's ‘Best Practice Principles for Design Review and Development Management’ that were published in this journal in 2007. Placing a focused lens on British and North American practice, the paper argues that design control and review has been profoundly reshaped since 2007 by three contributing factors: the challenges associated with climate change, the growing role that communities can play in local decision making, and the impacts of the global economic crisis upon public sector finances and property development. In light of these trends, the paper uses a review of recent literature and design practices to argue for a series of amendments to the best practice principles. These focus on: (1) the potential for design control and review to be more fully informed by ecological design theory and practice; (2) the need for more rigorous multi-stakeholder collaboration in the design decision-making process; and (3) the opportunity for urban designers to become more competent ‘market actors’ with the necessary abilities to confidently shape property development decisions

pp-adic Langlands functoriality for the definite unitary group

We formalise a notion of $p$-adic Langlands functoriality for the definite unitary group. This extends the classical notion of Langlands functoriality to the setting of eigenvarieties. We apply some results of Chenevier to obtain some cases of $p$-adic Langlands functoriality by interpolating known cases of classical Langlands functoriality

Collider constraints on tuning in composite Higgs models

Two potential sources of tuning exist in composite Higgs models: one comes from keeping the Higgs VEV below the compositeness scale and one comes from keeping the Higgs light after constraints on the top partner masses are applied. We construct a measure that determines whether these tunings are independent or not and combines them appropriately. We perform a comprehensive scan of the parameter space for three explicit models and report the minimum tuning values compatible with existing collider constraints. Tuning values are given as functions of resonance masses and deviations to the Higgs couplings so the effect of future constraints can easily be quantified. The current minimum tuning in the minimal model is 2.5-5% and will be decreased to around 0.8-3.3% if no top partners are observed over the lifetime of the LHC.Comment: 31 pages, 18 figures. Comments and references added for v2, accepted for publication in JHE

RELEVANT RESEARCH AREAS AND ORGANIZATIONAL QUESTIONS RELATIVE TO FEDERAL-STATE RESEARCH PROGRAMS IN THE ECONOMICS OF AGRICULTURAL PRODUCTION

Production Economics,

Growing in Glasgow: Innovative practices and emerging policy pathways for urban agriculture

Driven by shared concerns about climate change, social justice and health and wellbeing, Urban Agriculture (UA) is an emergent global movement. In this paper, we present an exploratory case study of UA practice on the Southside of Glasgow, UK that traced the emergence and development of four UA projects. Data from the four projects revealed a diversity of practices, including temporary gardening projects organised by local volunteers, a community and market garden operated by a charity, a food shop and vegetable distribution service run by a social enterprise, and a permanent growing space for charities and schools provided by local government. UA practitioners in Glasgow have sought to re-purpose vacant and derelict land, build social cohesion, contribute to environmental and food sustainability and provide participation space for marginalised groups. Reflecting on future avenues for research on UA in Glasgow, we have identified two broad policy pathways that are emerging both at the local level and through national legislation in Scotland to harness local urban food growing and support UA. We conclude by pointing to a need to preserve the self-organising spirit of UA in Scotland as new legislation comes into force

A radiometric airborne geophysical survey of the Isle of Wight

A high resolution airborne geophysical survey across the Isle of Wight and Lymington area conducted in 2008 provided the first modern radiometric survey across the geological formations that characterise much of southern England. The basic radiometric data are presented and it is evident that bedrock geology exerts a controlling influence on the broad response characteristics of the naturally occurring radioelements. A GIS-based geological classification of the data provides a quantitative assessment and reveals that a relatively high percentage of the variability of the data is explained by the Cretaceous bedrock geology but this is much reduced in the Palaeogene. The three traditional Chalk units (Lower, Middle and Upper Chalk depicted on the currently available Geological Map) provide the lowest and most distinct behaviour within the Cretaceous sequence. Mineral content within the Chalk appears to increase with increasing age. A new method of representing the baseline radiometric information from the survey in terms of the mean values of the geological classification is presented. The variation of radioelement geochemistry within individual formations is examined in two case studies from the Cretaceous Lower Greensand Group and the Palaeogene Hamstead Member (Bouldnor Formation). The Cretaceous sequences provide the higher levels of discrimination of localised variations in radioelement distributions. A more detailed case study examines the potential influences from the degree of water saturation in the soil and superficial deposits

Targeting vaccination against novel infections : risk, age and spatial structure for pandemic influenza in Great Britain

The emergence of a novel strain of H1N1 influenza virus in Mexico in 2009, and its subsequent worldwide spread, has focused attention to the question of optimal deployment of mass vaccination campaigns. Here, we use three relatively simple models to address three issues of primary concern in the targeting of any vaccine. The advantages of such simple models are that the underlying assumptions and effects of individual parameters are relatively clear, and the impact of uncertainty in the parametrization can be readily assessed in the early stages of an outbreak. In particular, we examine whether targeting risk-groups, age-groups or spatial regions could be optimal in terms of reducing the predicted number of cases or severe effects; and how these targeted strategies vary as the epidemic progresses. We examine the conditions under which it is optimal to initially target vaccination towards those individuals within the population who are most at risk of severe effects of infection. Using age-structured mixing matrices, we show that targeting vaccination towards the more epidemiologically important age groups (5-14 year olds and then 15-24 year olds) leads to the greatest reduction in the epidemic growth and hence reduces the total number of cases. Finally, we consider how spatially targeting the vaccine towards regions of country worst affected could provide an advantage. We discuss how all three of these priorities change as both the speed at which vaccination can be deployed and the start of the vaccination programme is varied

Octave-tunable miniature RF resonators

The development and testing of a miniaturized, high-Q, broadly tunable resonator is described. An exemplary device, with a center frequency that is continuously tunable from 1.2 to 2.6 GHz, was tested in detail. Experimental results demonstrated a resonator Q of up to 380, and typical insertion loss of -1.9 dB for a 25 MHz 3-dB bandwidth. These resonators have been used to stabilize a broadly-tunable oscillator with phase noise of -132 dBc/Hz at 100-kHz offset, with a center frequency tunable from 1.2-2.6 GHz, and a tuning speed of 1 GHz/ms