Exponentially Small Couplings between Twisted Fields of Orbifold String Theories

We investigate the natural occurence of exponentially small couplings in effective field theories deduced from higher dimensional models. We calculate the coupling between twisted fields of the Z_3 Abelian orbifold compactification of the heterotic string. Due to the propagation of massive Kaluza-Klein modes between the fixed points of the orbifold, the massless twisted fields located at these singular points become weakly coupled. The resulting small couplings have an exponential dependence on the mass of the intermediate states and the distance between the fixed points.Comment: 21 pages, 4 figure

On manifolds with multiple lens space filings

An irreducible 3--manifold with torus boundary either is a Seifert fibered space or admits at most three lens space fillings according to the Cyclic Surgery Theorem. We examine the sharpness of this theorem by classifying the non-hyperbolic manifolds with more than one lens space filling, classifying the hyperbolic manifolds obtained by filling of the Minimally Twisted 5 Chain complement that have three lens space fillings, showing that the doubly primitive knots in $S^3$ and $S^1 \times S^2$ have no unexpected extra lens space surgery, and showing that the Figure Eight Knot Sister Manifold is the only non-Seifert fibered manifold with a properly embedded essential once-punctured torus and three lens space fillings.Comment: 30 pages, 13 figure

Masking of errors in transmission of VAPC-coded speech

A subjective evaluation is provided of the bit error sensitivity of the message elements of a Vector Adaptive Predictive (VAPC) speech coder, along with an indication of the amenability of these elements to a popular error masking strategy (cross frame hold over). As expected, a wide range of bit error sensitivity was observed. The most sensitive message components were the short term spectral information and the most significant bits of the pitch and gain indices. The cross frame hold over strategy was found to be useful for pitch and gain information, but it was not beneficial for the spectral information unless severe corruption had occurred

Charging the Poor: Criminal Justice Debt & Modern-Day Debtors’ Prisons

Debtors’ prisons should no longer exist. While imprisonment for debt was common in colonial times in the United States, subsequent constitutional provisions, legislation, and court rulings all called for the abolition of incarcerating individuals to collect debt. Despite these prohibitions, individuals who are unable to pay debts are now regularly incarcerated, and the vast majority of them are indigent. In 2015, at least ten lawsuits were filed against municipalities for incarcerating individuals in modern-day debtors’ prisons. Criminal justice debt is the primary source for this imprisonment. Criminal justice debt includes fines, restitution charges, court costs, and fees. Monetary charges exist at all stages of the criminal justice system from pre-conviction to parole. They include a wide variety of items, such as fees for electronic monitoring, probation, and room and board. Forty-three states even charge fees for an indigent’s “free” public defender. With expanding incarceration rates and contracting state budgets, monetary sanctions have continued to escalate. Additionally, many states and localities are now outsourcing prison, probation, monitoring, and collection services to private companies, who add additional fees and charges to the criminal justice debt burden of defendants. The impact of criminal justice debt is especially severe on the poor and minorities as they are frequently assessed “poverty penalties” for interest, late fees, installment plans, and collection. Often they have to decide between paying criminal justice debt and buying family necessities. The deaths of Michael Brown in Ferguson, Eric Garner in New York, and Freddie Gray in Baltimore have prompted renewed calls for investigation of the adverse treatment of the poor and minorities in the criminal justice system. The fear of arrest, incarceration, and unfair treatment for those owing criminal justice debt creates distrust in the system. In February 2015, a class action complaint was filed against the City of Ferguson asserting that the city’s jails had become a “modern debtors’ prison scheme” that had “devastated the City’s poor, trapping them for years in a cycle of increased fees, debts, extortion, and cruel jailings.” Moreover, the Department of Justice’s report on the Ferguson Police Department presents a scathing indictment of a system apparently more concerned with revenue collection than justice. Unfortunately, as illustrated by recent lawsuits and investigations alleging debtors’ prisons in Alabama, Colorado, Georgia, Louisiana, Mississippi, New Hampshire, Ohio, Oklahoma, Tennessee, Texas, and Washington, the abuses are not limited to Ferguson, Missouri. The same concerns that led to the historical restrictions on debtors’ prisons have risen again with the growth of modern-day debtors’ prisons. Similar to the prisons in London during the eighteenth and nineteenth centuries that were criticized for using a privatized system that charged inmates for all services, including room and board, the current justice system improperly charges the poor. It is now time to revisit these concerns and implement effective restrictions to reduce the incidence of debtors’ prisons. To remedy these concerns, my Article proposes eliminating egregious sanctions, providing courts flexibility to base fines on earning levels, and establishing procedures to enforce restrictions against incarcerating those who are truly unable to pay their criminal justice debt