Convergence of numerical time-averaging and stationary measures via Poisson equations

Numerical approximation of the long time behavior of a stochastic di.erential equation (SDE) is considered. Error estimates for time-averaging estimators are obtained and then used to show that the stationary behavior of the numerical method converges to that of the SDE. The error analysis is based on using an associated Poisson equation for the underlying SDE. The main advantages of this approach are its simplicity and universality. It works equally well for a range of explicit and implicit schemes, including those with simple simulation of random variables, and for hypoelliptic SDEs. To simplify the exposition, we consider only the case where the state space of the SDE is a torus, and we study only smooth test functions. However, we anticipate that the approach can be applied more widely. An analogy between our approach and Stein's method is indicated. Some practical implications of the results are discussed. Copyright © by SIAM. Unauthorized reproduction of this article is prohibited.

Popular culture, relational history, and the question of power in Palestine and Israel

The marginalization of popular culture in radical scholarship on Palestine and Israel is symptomatic of the conceptual limits that still define much Middle East studies scholarship: namely, the prevailing logic of the nation-state on the one hand and the analytic tools of classical Marxist historiography and political economy on the other. This essay offers a polemic about the form that alternative scholarly projects might take through recourse to questions of popular culture. The authors argue that close allention to the ways that popular culture "articulates" with broader political, social, and economic processes can expand scholarly understandings of the terrain of power in Palestine and Israel, and hence the possible arenas and modalities of struggle. © 2004 by the Institute for Palestine Studies. All rights reserved.

Souvenirs of conquest: Israeli occupations as tourist events

It is perhaps self-evident to suggest that military conquest shares something with tourism because both involve encounters with "strange" landscapes and people. Thus it may not surprise that the former sometimes borrows rhetorical strategies from the latter - strategies for rendering the strange familiar or for translating threatening images into benign ones. There have been numerous studies of this history of borrowing. Scholars have considered how scenes of battle draw tourist crowds, how soldiers' ways of seeing can resemble those of leisure travelers, how televised wars have been visually structured as tourist events (e.g., the 2003 U.S. invasion of Iraq), and how the spoils of war can function as a body of souvenirs. These lines of inquiry expand our understanding of tourism as a field of cultural practices and help us to rethink the parameters of militarism and warfare by suggesting ways they are entangled with everyday leisure practices. © 2008 Cambridge University Press.

ENIGMA and the individual: Predicting factors that affect the brain in 35 countries worldwide.

In this review, we discuss recent work by the ENIGMA Consortium (http://enigma.ini.usc.edu) - a global alliance of over 500 scientists spread across 200 institutions in 35 countries collectively analyzing brain imaging, clinical, and genetic data. Initially formed to detect genetic influences on brain measures, ENIGMA has grown to over 30 working groups studying 12 major brain diseases by pooling and comparing brain data. In some of the largest neuroimaging studies to date - of schizophrenia and major depression - ENIGMA has found replicable disease effects on the brain that are consistent worldwide, as well as factors that modulate disease effects. In partnership with other consortia including ADNI, CHARGE, IMAGEN and others(1), ENIGMA's genomic screens - now numbering over 30,000 MRI scans - have revealed at least 8 genetic loci that affect brain volumes. Downstream of gene findings, ENIGMA has revealed how these individual variants - and genetic variants in general - may affect both the brain and risk for a range of diseases. The ENIGMA consortium is discovering factors that consistently affect brain structure and function that will serve as future predictors linking individual brain scans and genomic data. It is generating vast pools of normative data on brain measures - from tens of thousands of people - that may help detect deviations from normal development or aging in specific groups of subjects. We discuss challenges and opportunities in applying these predictors to individual subjects and new cohorts, as well as lessons we have learned in ENIGMA's efforts so far.

Selection of Postacute Stroke Rehabilitation Facilities: A Survey of Discharge Planners From the Northeast Cerebrovascular Consortium (NECC) Region.

The process of determining the level of care and specific postacute care facility for stroke patients has not been adequately studied. The objective of this study was to better understand the factors that influence postacute care decisions by surveying stroke discharge planners. Requests were sent to discharge planners at 471 hospitals in the Northeast United States to complete an online survey regarding the factors impacting the selection of postacute care. Seventy-seven (16%) discharge planners completed the online survey. Respondents were mainly nurses and social workers and 73% reported ≥20 years healthcare experience. Patients and families were found to be significantly more influential than physicians (P < 0.001) and other clinicians (P = 0.04) in influencing postdischarge care. Other clinicians were significantly more influential than physicians (P < 0.001). Insurance and quality of postacute care were the factors likely to most affect the selection of postacute care facility. Insurance was also identified as the greatest barrier in the selection of level of postacute care (70%; P < 0.001) and specific postacute care facility (46%; P = 0.02). More than half reported that pressure to discharge patients quickly impacts a patients' final destination. Nonclinical factors are perceived by discharge planners to have a major influence on postacute stroke care decision making.