Confidence intervals for half-life deviations from purchasing power parity

Existing point estimates of half-life deviations from purchasing power parity (PPP), around 3-5 years, suggest that the speed of convergence is extremely slow. This article assesses the degree of uncertainty around these point estimates by using local-to-unity asymptotic theory to construct confidence intervals that are robust to high persistence in small samples. The empirical evidence suggests that the lower bound of the confidence interval is between four and eight quarters for most currencies, which is not inconsistent with traditional price-stickiness explanations. However, the upper bounds are infinity for all currencies, so we cannot provide conclusive evidence in favor of PPP either. © 2005 American Statistical Association.

Dimensional dependence of the Stokes-Einstein relation and its violation

We generalize to higher spatial dimensions the Stokes-Einstein relation (SER) as well as the leading correction to diffusivity in finite systems with periodic boundary conditions, and validate these results with numerical simulations. We then investigate the evolution of the high-density SER violation with dimension in simple hard sphere glass formers. The analysis suggests that this SER violation disappears around dimension du = 8, above which it is not observed. The critical exponent associated with the violation appears to evolve linearly in 8 - d, below d = 8, as predicted by Biroli and Bouchaud [J. Phys.: Condens. Matter 19, 205101 (2007)], but the linear coefficient is not consistent with the prediction. The SER violation with d establishes a new benchmark for theory, and its complete description remains an open problem. © 2013 AIP Publishing LLC.

A mathematical theory of stochastic microlensing. II. Random images, shear, and the Kac-Rice formula

Continuing our development of a mathematical theory of stochastic microlensing, we study the random shear and expected number of random lensed images of different types. In particular, we characterize the first three leading terms in the asymptotic expression of the joint probability density function (pdf) of the random shear tensor due to point masses in the limit of an infinite number of stars. Up to this order, the pdf depends on the magnitude of the shear tensor, the optical depth, and the mean number of stars through a combination of radial position and the star's mass. As a consequence, the pdf's of the shear components are seen to converge, in the limit of an infinite number of stars, to shifted Cauchy distributions, which shows that the shear components have heavy tails in that limit. The asymptotic pdf of the shear magnitude in the limit of an infinite number of stars is also presented. All the results on the random microlensing shear are given for a general point in the lens plane. Extending to the general random distributions (not necessarily uniform) of the lenses, we employ the Kac-Rice formula and Morse theory to deduce general formulas for the expected total number of images and the expected number of saddle images. We further generalize these results by considering random sources defined on a countable compact covering of the light source plane. This is done to introduce the notion of global expected number of positive parity images due to a general lensing map. Applying the result to microlensing, we calculate the asymptotic global expected number of minimum images in the limit of an infinite number of stars, where the stars are uniformly distributed. This global expectation is bounded, while the global expected number of images and the global expected number of saddle images diverge as the order of the number of stars. © 2009 American Institute of Physics.

A Politics of the Unspeakable: The Differend of Israel

Israel's establishment in 1948 in former British-Mandate Palestine as a Jewish country and as a liberal democracy is commonly understood as a form of response to the Holocaust of WWII. Zionist narratives frame Israel's establishment not only as a response to the Holocaust, but also as a return to the Jewish people's original homeland after centuries of wandering in exile. Debates over Israel's policies, particularly with regard to Palestinians and to the country's non-Jewish population, often center on whether Israel's claims to Jewish singularity are at the expense of principles of liberal democracy, international law and universal human rights. In this dissertation, I argue that Israel's emphasis on Jewish singularity can be understood not as a violation of humanism's universalist frameworks, but as a symptom of the violence inherent to these frameworks and to the modern liberal rights-bearing subject on which they are based. Through an analysis of my fieldwork in Israel (2005-2008), I trace the relation between the figures of "Jew" and "Israeli" in terms of their historical genealogies and in contemporary Israeli contexts. Doing so makes legible how European modernity and its concepts of sovereignty, liberalism, the human, and subjectivity are based on a metaphysics of presence that defines the human through a displacement of difference. This displaced difference is manifest in affective expression. This dissertation shows how the figure of the Jew in relation to Israel reveals sexual difference as under erasure by the suppression of alterity in humanism's configuration of man, woman, and animal, and suggests a political subject unable to be sovereign or fully represented in language.

Reproduction and population growth in free-ranging mantled howling monkeys.

Free-ranging mantled howling monkey (Alouatta palliata Gray) females experienced a regular estrus cycle averaging 16.3 days, demonstrated sexual skin changes, and participated in multiple matings before becoming pregnant. Gestation averaged 186 days. The average interval between births was 22.5 months. Sexual maturity occurred at approximately 36 and 42 months for females and males, respectively. Female age at first birth was about 3 1/2 years. Births were scattered during some years and clustered during others. The age, rank, and parity of the females affected infant survival. More female than male infants survived to one year of age. Increased population size was the result of immigration rather than births.