Affirmative Action in American Law Schools: A Critical Response to Richard Sander\u27s A Reply to Critics

Richard Sander’s Stanford Law Review article, “A Systemic Analysis of Affirmative Action in American Law Schools,” has generated considerable attention and criticism. This included a critical essay in the May 2005 Stanford Law Review by the four of us, as well as others in the same issue by Professors Ian Ayres and Richard Brooks, Michele Landis Dauber, and David Wilkins. Sander’s “A Reply to Critics” also appeared in the same issue. For those following this empirical debate about the costs and benefits of affirmative action, we provide this working paper as a response to Sander’s “A Reply to Critics.” We show the weaknesses in the logic that underlies many of Sander’s assumptions and arguments and show that his reply does not salvage the case against affirmative action that he claimed to have made in his Stanford article. Rather, Sander’s reply explicitly or implicitly repudiates much of the methodology and many of the claims he made in “Systemic Analysis,” even as he clings firmly to its conclusion and compounds earlier analytic mistakes with new ones

The Real Impact of Eliminating Affirmative Action in American Law Schools: An Empirical Critique of Richard Sander\u27s Study

In 1970, there were about 4000 African American lawyers in the United States. Today there are more than 40,000. The great majority of the 40,000 have attended schools that were once nearly all-white, and most were the beneficiaries of affirmative action in their admission to law school. American law schools and the American bar can justly take pride in the achievements of affirmative action: the training of tens of thousands of African American (as well as Latino, Asian American, and Native American) practitioners, community leaders, judges, and law professors; the integration of the American bar; the services that minority attorneys have provided to minority individuals and organizations once poorly serviced by white lawyers; and the educational benefits that law students of all backgrounds derive from studying in a racially diverse environment. But not every student admitted through affirmative action realizes his or her ambition to practice law. Of the African American students who entered law school in the fall of 1991, the one year for which we have good data, about 43% either did not graduate or graduated but had not passed a bar exam within two years of graduation. Only 17% of the white students in the 1991 cohort suffered either of these fates. In A Systemic Analysis of Affirmative Action in American Law Schools (Systemic Analysis), Professor Richard Sander argues that if affirmative action were eliminated in law school admissions, the rate at which African American students fail to graduate and pass the bar would be reduced substantially without any concomitant loss in the numbers of African Americans joining the bar. He acknowledges that fewer African American students would be admitted to law school, but predicts that those who were admitted would graduate and pass the bar at much higher rates because they would no longer be attending schools where the competition was too stiff for them. Sander builds to an astonishing forecast: that the number of black lawyers produced by American law schools each year and subsequently passing the bar would probably increase if those schools collectively stopped using racial preferences. In particular, he predicts that the cohort entering law school in 2001 would have produced 7.9% more new black lawyers entering the bar.5 We agree with Sander that the high rate at which African American students fail to graduate and fail to pass the bar is alarming.6 Indeed, we take the problem so seriously that despite the high value we place on racial diversity within law schools, the four of us would not support affirmative action as currently practiced in law school admissions if we believed that employing race-neutral admissions criteria would in fact lead to a net increase in the number of African Americans passing the bar.7 We find, however, that while Sander has appropriately forced us and others to take a hard look at the actual workings of affirmative action, he has significantly overestimated the costs of affirmative action and failed to demonstrate benefits from ending it. The conclusions in Systemic Analysis rest on a series of statistical errors, oversights, and implausible assumptions. It is these empirical shortcomings that we address in this Response

Coherent states for compact Lie groups and their large-N limits

The first two parts of this article surveys results related to the heat-kernel coherent states for a compact Lie group K. I begin by reviewing the definition of the coherent states, their resolution of the identity, and the associated Segal-Bargmann transform. I then describe related results including connections to geometric quantization and (1+1)-dimensional Yang--Mills theory, the associated coherent states on spheres, and applications to quantum gravity. The third part of this article summarizes recent work of mine with Driver and Kemp on the large-N limit of the Segal--Bargmann transform for the unitary group U(N). A key result is the identification of the leading-order large-N behavior of the Laplacian on "trace polynomials."Comment: Submitted to the proceeding of the CIRM conference, "Coherent states and their applications: A contemporary panorama.

The Effects of Acute Stress on the Calibration of Persistence

People frequently fail to wait for delayed rewards after choosing them. These preference reversals are sometimes thought to reflect self-control failure. Other times, however, continuing to wait for a delayed reward may be counterproductive (e.g., when reward timing uncertainty is high). Research has demonstrated that people can calibrate how long to wait for rewards in a given environment. Thus, the role of self-control might be to integrate information about the environment to flexibly adapt behavior, not merely to promote waiting. Here we tested effects of acute stress, which has been shown to tax control processes, on persistence, and the calibration of persistence, in young adult human participants. Half the participants (n = 60) performed a task in which persistence was optimal, and the other half (n = 60) performed a task in which it was optimal to quit waiting for reward soon after each trial began. Each participant completed the task either after cold pressor stress or no stress. Stress did not influence persistence or optimal calibration of persistence. Nevertheless, an exploratory analysis revealed an “inverted-U” relationship between cortisol increase and performance in the stress groups, suggesting that choosing the adaptive waiting policy may be facilitated with some stress and impaired with severe stress

MHz-Rate NO PLIF Imaging in a Mach 10 Hypersonic Wind Tunnel

NO PLIF imaging at repetition rates as high as 1 MHz is demonstrated in the NASA Langley 31 inch Mach 10 hypersonic wind tunnel. Approximately two hundred time correlated image sequences, of between ten and twenty individual frames, were obtained over eight days of wind tunnel testing spanning two entries in March and September of 2009. The majority of the image sequences were obtained from the boundary layer of a 20 flat plate model, in which transition was induced using a variety of cylindrical and triangular shaped protuberances. The high speed image sequences captured a variety of laminar and transitional flow phenomena, ranging from mostly laminar flow, typically at lower Reynolds number and/or in the near wall region of the model, to highly transitional flow in which the temporal evolution and progression of characteristic streak instabilities and/or corkscrew-shaped vortices could be clearly identified. A series of image sequences were also obtained from a 20 compression ramp at a 10 angle of attack in which the temporal dynamics of the characteristic separated flow was captured in a time correlated manner

Coherent states on spheres

We describe a family of coherent states and an associated resolution of the identity for a quantum particle whose classical configuration space is the d-dimensional sphere S^d. The coherent states are labeled by points in the associated phase space T*(S^d). These coherent states are NOT of Perelomov type but rather are constructed as the eigenvectors of suitably defined annihilation operators. We describe as well the Segal-Bargmann representation for the system, the associated unitary Segal-Bargmann transform, and a natural inversion formula. Although many of these results are in principle special cases of the results of B. Hall and M. Stenzel, we give here a substantially different description based on ideas of T. Thiemann and of K. Kowalski and J. Rembielinski. All of these results can be generalized to a system whose configuration space is an arbitrary compact symmetric space. We focus on the sphere case in order to be able to carry out the calculations in a self-contained and explicit way.Comment: Revised version. Submitted to J. Mathematical Physic

Stereoscopic Planar Laser-Induced Fluorescence Imaging at 500 kHz

A new measurement technique for obtaining time- and spatially-resolved image sequences in hypersonic flows is developed. Nitric-oxide planar laser-induced fluorescence (NO PLIF) has previously been used to investigate transition from laminar to turbulent flow in hypersonic boundary layers using both planar and volumetric imaging capabilities. Low flow rates of NO were typically seeded into the flow, minimally perturbing the flow. The volumetric imaging was performed at a measurement rate of 10 Hz using a thick planar laser sheet that excited NO fluorescence. The fluorescence was captured by a pair of cameras having slightly different views of the flow. Subsequent stereoscopic reconstruction of these images allowed the three-dimensional flow structures to be viewed. In the current paper, this approach has been extended to 50,000 times higher repetition rates. A laser operating at 500 kHz excites the seeded NO molecules, and a camera, synchronized with the laser and fitted with a beam-splitting assembly, acquires two separate images of the flow. The resulting stereoscopic images provide three-dimensional flow visualizations at 500 kHz for the first time. The 200 ns exposure time in each frame is fast enough to freeze the flow while the 500 kHz repetition rate is fast enough to time-resolve changes in the flow being studied. This method is applied to visualize the evolving hypersonic flow structures that propagate downstream of a discrete protuberance attached to a flat plate. The technique was demonstrated in the NASA Langley Research Center s 31-Inch Mach 10 Air Tunnel facility. Different tunnel Reynolds number conditions, NO flow rates and two different cylindrical protuberance heights were investigated. The location of the onset of flow unsteadiness, an indicator of transition, was observed to move downstream during the tunnel runs, coinciding with an increase in the model temperature

NO PLIF Imaging in the CUBRC 48 Inch Shock Tunnel

Nitric Oxide Planar Laser-Induced Fluorescence (NO PLIF) imaging is demonstrated at a 10 kHz repetition rate in the Calspan-University at Buffalo Research Center s (CUBRC) 48-inch Mach 9 hypervelocity shock tunnel using a pulse burst laser-based high frame rate imaging system. Sequences of up to ten images are obtained internal to a supersonic combustor model, located within the shock tunnel, during a single approx.10-millisecond duration run of the ground test facility. This represents over an order of magnitude improvement in data rate from previous PLIF-based diagnostic approaches. Comparison with a preliminary CFD simulation shows good overall qualitative agreement between the prediction of the mean NO density field and the observed PLIF image intensity, averaged over forty individual images obtained during several facility runs

Scenario Discovery with Multiple Criteria: An Evaluation of the Robust Decision‐Making Framework for Climate Change Adaptation

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/135989/1/risa12582_am.pdfhttp://deepblue.lib.umich.edu/bitstream/2027.42/135989/2/risa12582.pd