Applying Lawrence: Teenagers and the Crime against Nature

The Supreme Court\u27s decision striking down a Texas statute prohibiting homosexual conduct in Lawrence v. Texas is vague in many ways. The opinion failed to articulate both the contours of the right the Court was recognizing and the level of scrutiny courts should apply when enforcing the right. When a question concerning the rights of minors arises under Lawrence, the answer is even more obscure. The Supreme Court of North Carolina faced precisely this question in a 2007 decision, in which the court considered whether Lawrence prohibited the state from prosecuting a minor for engaging in nontraditional sexual activity when the minor legally could have engaged in traditional, vaginal intercourse. This Note argues for an extension of Lawrence\u27s right to sexual privacy to minors when those minors may otherwise lawfully consent to sexual activity. Lawrence held the state may only infringe an adult\u27s right to sexual privacy when the state has some interest other than moral aversion to the sexual act itself. The Supreme Court has also held that minors generally share an adult\u27s right to privacy unless the state has a significant interest unique to the context of minors to justify the infringement. Because the state has no interest other than moral aversion when regulating the form of a minor\u27s sexual activity, this Note argues Lawrence should also protect minors

Syntactic Separation of Subset Satisfiability Problems

Variants of the Exponential Time Hypothesis (ETH) have been used to derive lower bounds on the time complexity for certain problems, so that the hardness results match long-standing algorithmic results. In this paper, we consider a syntactically defined class of problems, and give conditions for when problems in this class require strongly exponential time to approximate to within a factor of (1-epsilon) for some constant epsilon > 0, assuming the Gap Exponential Time Hypothesis (Gap-ETH), versus when they admit a PTAS. Our class includes a rich set of problems from additive combinatorics, computational geometry, and graph theory. Our hardness results also match the best known algorithmic results for these problems

Identifying High Potential Police Officers and Role Characteristics.

Project commissioned in 2000 by the Metropolitan Police Service to carry out a psychometric assessment validation study as part of a career Pathways Project

Market Power in the Carbonated Soft Drink Industry

We investigate the strategic pricing for leading brands sold in the carbonated soft drink (CSD) market in the context of a flexible demand specification (i.e. random parameter nested logit) and a structural pricing equation. Our approach does not rely upon the often used ad hoc linear approximations to demand and profit-maximizing first-order conditions. We estimate the structural pricing equation using four different estimators (i.e. OLS, LIML, 2SLS, and GMM) and compare the implied deviation from Bertrand-Nash competition. Our results suggest that retailers, on average, price CSD brands below their cost, likely a result of the competitive retailing environment. We also find CSD wholesalers price their brands significantly more cooperatively than Bertrand-Nash would suggest, thus inflating profits.Market Power, Carbonated Soft Drinks, Econometrics, LIML, Agribusiness, Agricultural and Food Policy, Demand and Price Analysis, Industrial Organization,

Consumer Impact of Animal Welfare Regulation in the California Poultry Industry

This study examines the consumer welfare impact of animal welfare legislation mandating cage-free egg production in California. We estimate California egg consumers’ willingness to pay (WTP) for cage-free eggs using household-level purchase data and compare the implied premium to higher production costs when calculating the potential change in consumer surplus. Our findings suggest that larger households and/or households with limited means are most likely to be affected. Furthermore, the implied welfare loss for consumers is approximately $106 million. Although consumers value cage-free eggs, higher production costs result in a net welfare loss to consumers. One implication of this finding is that a clear labeling practice may be a more efficient way to motivate animal welfare and non-cage systems.animal welfare regulation, California poultry, egg prices, egg supply, hen housing, mixed logit, willingness to pay, Livestock Production/Industries,

The Effect of Solutes on the Temperature of Miscibility Transitions in Multi-component Membranes

We address questions posed by experiments which show that most small-chain alcohols reduce the miscibility transition temperature when added to giant plasma membrane vesicles, but increase that temperature when added to giant unilamellar vesicles. In both systems the change in temperature depends non-monotonically on the length of the alcohol chain. To emphasize the roles played by the internal entropies of the components, we model them as linear polymers. We show that, within Flory-Huggins theory, the addition of alcohol causes an increase or decrease of the transition temperature depending upon the competition of two effects. One is the dilution of the solvent interactions caused by the introduction of solute, which tends to lower the temperature. The other is the preference of the solute for one phase or the other, which tends to raise the temperature. The magnitude of this term depends on the entropies of all components. Lastly we provide a reasonable explanation for the behavior of the transition temperature with alcohol chain length observed in experiment

Evaluating Matrix Circuits

The circuit evaluation problem (also known as the compressed word problem) for finitely generated linear groups is studied. The best upper bound for this problem is $\mathsf{coRP}$, which is shown by a reduction to polynomial identity testing. Conversely, the compressed word problem for the linear group $\mathsf{SL}_3(\mathbb{Z})$ is equivalent to polynomial identity testing. In the paper, it is shown that the compressed word problem for every finitely generated nilpotent group is in $\mathsf{DET} \subseteq \mathsf{NC}^2$. Within the larger class of polycyclic groups we find examples where the compressed word problem is at least as hard as polynomial identity testing for skew arithmetic circuits

Theory of Polar Blue Phases

In liquid crystals, if flexoelectric couplings between polar order and director gradients are strong enough, the uniform nematic phase can become unstable to formation of a modulated polar phase. Previous theories have predicted two types of modulation, twist-bend and splay-bend; the twist-bend phase has been found in recent experiments. Here, we investigate other types of modulation, using lattice simulations and Landau theory. In addition to twist-bend and splay-bend, we also find polar blue phases, with 2D or 3D modulations of both director and polar order. We compare polar blue phases with chiral blue phases, and discuss opportunities for observing them experimentally