MICHIGAN'S DUAL CHALLENGES: RECESSION AND NEW FEDERALISM

Public Economics,

Two-dimensional conformal field theory and the butterfly effect

We study chaotic dynamics in two-dimensional conformal field theory through out-of-time order thermal correlators of the form $\langle W(t)VW(t)V\rangle$. We reproduce bulk calculations similar to those of [1], by studying the large $c$ Virasoro identity block. The contribution of this block to the above correlation function begins to decrease exponentially after a delay of $\sim t_* - \frac{\beta}{2\pi}\log \beta^2E_w E_v$, where $t_*$ is the scrambling time $\frac{\beta}{2\pi}\log c$, and $E_w,E_v$ are the energy scales of the $W,V$ operators.Comment: v1: 14 pages plus appendices, 2 figures. v2: references updated and minor changes to the text. v3: minor error corrected in Appendix B, but the conclusion is unchange

Localized shocks

We study products of precursors of spatially local operators, $W_{x_{n}}(t_{n}) ... W_{x_1}(t_1)$, where $W_x(t) = e^{-iHt} W_x e^{iHt}$. Using chaotic spin-chain numerics and gauge/gravity duality, we show that a single precursor fills a spatial region that grows linearly in $t$. In a lattice system, products of such operators can be represented using tensor networks. In gauge/gravity duality, they are related to Einstein-Rosen bridges supported by localized shock waves. We find a geometrical correspondence between these two descriptions, generalizing earlier work in the spatially homogeneous case.Comment: 23 pages plus appendices, 12 figures. v2: minor error in Appendix B corrected. v3: figure added to the introduction comparing the butterfly effect cone with the standard light con

TheEffects of Decision Aid Recommendations on Users’ Cognitive Processes, Memories, and Judgments

This study extends the existing decision aid literature by examining the influence of decision aid recommendations on users’ memories, decision processes, and judgments. Existing research suggests that decision aids can be beneficial in a variety of settings. Judgments or decisions, the outputs of the decision- making process, are the focus of most of the decision aid research. This study offers a more comprehensive investigation of the impact of decision aids by examining both the outputs of the decision-making process and the inputs and processes that lead to judgment and decision-making. An experiment is conducted that examines the influence of decision aid recommendations on memory patterns, search, cue usage, and judgments. Specifically, the study focuses on how positive and negative decision aid recommendations and the timing of receipt of the decision aid recommendation differentially affect these components of the decision process. The key findings of the research are: (1) decision aid recommendations create strong affective responses that are encoded in memory and cause users to reconstruct memories of financial data to be consistent with the affective response, (2) receiving a decision aid recommendation at the start of a task creates a strong initial response that acts as an initial hypothesis wherein users’ subsequent information search patterns exhibit a confirming bias, (3) receiving a decision aid recommendation later in the task creates a strong response that initiates professional skepticism and causes users’ subsequent information search patterns to exhibit a disconfirming bias, (4) decision aid recommendations influence the choice of information cues users believe to be important, (5) decision aid recommendations exert influence on users’ judgments, with the amount of influence diminishing as additional information is received, and (6) working memory capacity is a determinant in the ability to recall financial information but does not determine the extent of influence decision aid recommendations have on users. These findings, when considered together, validate the need for a more complete examination of how decision aids impact the entire decision-making process to identify potential negative consequences in addition to proposed benefits. This research demonstrates that task structure can be manipulated to mitigate certain undesirable consequences of decision aid use

State v. Frontier Acres Community Development District, 472 So. 2d 455 (Fla. 1985)

Constitutional Law-NO LAND, NO VOTE: VALIDATING THE ONE-ACRE-ONE-VOTE PROVISION FOR ELECTIONS IN FLORIDA\u27S COMMUNITY DEVELOPMENT DISTRICT

Role of the school in the vocational rehabilitation of the mentally retarded

The purpose of this research paper is to review the multiple approaches of schools in effectively planning for the vocational requirements of the mentally retarded

State v. Frontier Acres Community Development District, 472 So. 2d 455 (Fla. 1985)

Constitutional Law-NO LAND, NO VOTE: VALIDATING THE ONE-ACRE-ONE-VOTE PROVISION FOR ELECTIONS IN FLORIDA\u27S COMMUNITY DEVELOPMENT DISTRICT

Robustness of the Thirty Meter Telescope Primary Mirror Control System

The primary mirror control system for the Thirty Meter Telescope (TMT) maintains the alignment of the 492 segments in the presence of both quasi-static (gravity and thermal) and dynamic disturbances due to unsteady wind loads. The latter results in a desired control bandwidth of 1Hz at high spatial frequencies. The achievable bandwidth is limited by robustness to (i) uncertain telescope structural dynamics (control-structure interaction) and (ii) small perturbations in the ill-conditioned influence matrix that relates segment edge sensor response to actuator commands. Both of these effects are considered herein using models of TMT. The former is explored through multivariable sensitivity analysis on a reduced-order Zernike-basis representation of the structural dynamics. The interaction matrix ("A-matrix") uncertainty has been analyzed theoretically elsewhere, and is examined here for realistic amplitude perturbations due to segment and sensor installation errors, and gravity and thermal induced segment motion. The primary influence of A-matrix uncertainty is on the control of "focusmode"; this is the least observable mode, measurable only through the edge-sensor (gap-dependent) sensitivity to the dihedral angle between segments. Accurately estimating focus-mode will require updating the A-matrix as a function of the measured gap. A-matrix uncertainty also results in a higher gain-margin requirement for focus-mode, and hence the A-matrix and CSI robustness need to be understood simultaneously. Based on the robustness analysis, the desired 1 Hz bandwidth is achievable in the presence of uncertainty for all except the lowest spatial-frequency response patterns of the primary mirror

ESTIMATING EXTERNAL COSTS OF MUNICIPAL LANDFILL SITING THROUGH CONTINGENT VALUATION ANALYSIS: A CASE STUDY

Much of the solid waste stream in the United States is generated by metropolitan areas, while associated landfills are often located in adjacent rural communities. Landfill disposal of municipal solid waste often creates external costs to nearby residents. Contingent valuation was used to estimate external costs of siting a landfill in the Carter community of Knox County, Tennessee. Estimates of annual external costs were $227 per household. Household income, size, years in the community, and distance from the proposed landfill and the respondent's education, sex, and perception of health risks were important in determining a household's willingness to pay to avoid having a landfill in the Carter community. Also, households whose drinking water supplies were at risk of contamination were willing to pay$141 more than those who used piped city water or bottled water.Public Economics,