L2 regularity of measurable solutions of a finite-difference equation of the circle

We show that if $\varphi$ is a lacunary Fourier series and the equation $\psi (x) -\psi (x + \alpha) = \varphi(x), x \bmod 1$ has a measurable solution $\varphi$, then in fact the equation has a solution in L2. This work of Michel Herman (1942-2000) appeared only as a preprint of the Mathematics Institute, University of Warwick, dated May 1976. It was turned into TEX format by Claire Desescures. Minor editorial work was done by Albert Fathi

Performance Indicators for Section 7 of the NVRA

The 1993 National Voter Registration Act (NVRA) requires states to register citizens through public assistance agencies, making participation easier and more accessible for millions of low-income Americans. However, the evidence is compelling that many states are in poor compliance with the public assistance agency registration requirements of the NVRA. Indeed, state election and agency officials often admit that compliance is lacking, and agency offices are often found without the necessary training and forms.Efforts to improve compliance with the NVRA must first grapple with the question: "How many registrations should a particular state or the nation produce from public assistance agencies?" To address this question, and place agency data in context, this memo provides the following estimates:(1) the percent of agency clients that need to register to vote,(2) the number of people interacting with agencies, and(3) the performance history of agencies that are complying with the law.State-to-state comparisons show that many states are performing poorly, and many states are performing below their own performance levels from just a few years ago. Nationwide, these steep declines in agency voter registration performance occurred during a period of significant increases in participation in the Food Stamp Program, one of the largest programs required to comply with the NVRA. Some states also perform better at agency registration than states with greater need. All of these factors suggest that the poor results are a matter of administrative performance and not a lack of need.If all states had performed in 2006 at a level that many states did just a few years ago, close to 1.8 million more registrations would have taken place

Representational Bias in the 2008 Electorate.

Representational Bias in the 2008 Electorate reviews the story of who was eligible to vote, who was registered to vote, and who did vote in the 2008 general election. Analyzing the November Voting and Registration supplements of the U.S. Census Bureau's Current Population Survey, the report offers detailed information on registration rates and voting behavior based on key demographic factors, including race/ethnicity, age, gender and marital status, income, education, residential mobility, and disability status. The report also provides registration and turnout rates for each state, with comparative rankings. By comparing this data with those from other recent elections, the report presents a picture of the growing electorate in the United States, and identifies the changes in the extent to which participation in our federal elections is -- and is not -- representative of the population that is eligible to vote in America

A nonabelian trace formula

Let $E/F$ be an extension of number fields with $\mathrm{Gal}(E/F)$ simple and nonabelian. In [G] the first named author suggested an approach to nonsolvable base change and descent of automorphic representations of $\mathrm{GL}_2$ along such an extension. Motivated by this we prove a trace formula whose spectral side is a weighted sum over cuspidal automorphic representations of $\mathrm{GL}_2(\mathbb{A}_E)$ that are isomorphic to their $\mathrm{Gal}(E/F)$-conjugates.Comment: Comments are welcom

The development of complex verb constructions in British Sign Language

This study focuses on the mapping of events onto verb-argument structures in British Sign Language (BSL). The development of complex sentences in BSL is described in a group of 30 children, aged 3;2–12;0, using data from comprehension measures and elicited sentence production. The findings support two interpretations: firstly, in the mapping of concepts onto language, children acquiring BSL overgeneralize the use of argument structure related to perspective shifting;secondly, these overgeneralizations are predicted by the typological characteristics of the language and modality. Children under age 6;0, in attempting to produce sentences encoded through a perspective shift, begin by breaking down double-verb constructions (AB verbs) into components, producing only the part of the verb phrase which describes the perspective of the patient. There is also a prolonged period of development of non-manual features, with the full structure not seen in its adult form until after 9;0. The errors in the use of AB verbs and the subsequent protracted development of correct usage are explained in terms of the conceptual–linguistic interface

Efficacy of speech intervention using electropalatography with a cochlear implant user

Electropalatography (EPG) has become relatively well established as a safe and convenient technique for use in the assessment, diagnosis and treatment of children and adults with articulation disorders. EPG's wide applicability is reflected in the range of different cases that has been researched in recent years. Some research has been carried out using EPG therapy for deaf individuals who use hearing aids, however there are no similar studies for cochlear implant users. The purpose of this single case study is to explore the technique of EPG as a therapeutic intervention to treat voiceless velar stop consonant sound production in a deaf child cochlear implant user. EPG therapy was offered as a last resort when traditional therapy failed to achieve specific changes. During therapy, a list of familiar words was practised, using the visual feedback provided by EPG. The client's articulation was assessed using objective (EPG printouts) and subjective (listener ratings) measures at four assessment points. Changes were found to be statistically significant. Generalization of the newly‐acquired skills to untaught words containing voiceless velars was also observed. The results are discussed in the broader context of implications of this type of therapy with deaf clients

Initiation of non-tropical thunderstorms by solar activity

Correlative evidence accumulating since 1926 suggests that there must be some physical coupling mechanism between solar activity and thunderstorm occurrence in middle to high latitudes. Such a link may be provided by alteration of atmospheric electric parameters through the combined influence of high-energy solar protons and decreased cosmic ray intensities, both of which are associated with active solar events. The protons produce excess ionization near and above 20km, while the Forbush decreases a lowered conductivity and enhanced fair-weather atmospheric electric field below that altitude. Consequent effects ultimately lead to a charge distribution similar to that found in thunderclouds, and then other cloud physics processes take over to generate the intense electric fields required for lightning discharge