Women and the Law: How Far We\u27ve Come and Where We Need to Go

Introduction to the program on “Women and the Law: How Far We\u27ve Come and Where We Need to Go” held at Pace Law School, October 24, 2008

Hogan vs. Gawker II: A Statutory Solution to Fraudulent Joinder

This Article will first review the intersection of federal jurisdiction and litigation strategy by examining the requirements for diversity jurisdiction in federal court as well as the circumstances that must be present to allow a defendant to remove a case from state court to federal court. The Article will then review the history of the court-created doctrine of fraudulent joinder, and will examine the various tests currently in use by the lower federal courts. The Article will then address whether it makes more sense to create a statutory solution, and will examine and analyze the Fraudulent Joinder Prevention Act of 2016, which was recently passed by the House of Representatives. After analyzing the Act, this Article will conclude that, while a statutory solution to this issue is appropriate, the current proposal needs to be adjusted in various ways

Quantum Sensors: Improved Optical Measurement via Specialized Quantum States

Classical measurement strategies in many areas are approaching their maximum resolution and sensitivity levels, but these levels often still fall far short of the ultimate limits allowed by the laws of physics. To go further, strategies must be adopted that take into account the quantum nature of the probe particles and that optimize their quantum states for the desired application. Here, we review some of these approaches, in which quantum entanglement, the orbital angular momentum of single photons, and quantum interferometry are used to produce optical measurements beyond the classical limit

Hamilton's theory of turns revisited

We present a new approach to Hamilton's theory of turns for the groups SO(3) and SU(2) which renders their properties, in particular their composition law, nearly trivial and immediately evident upon inspection. We show that the entire construction can be based on binary rotations rather than mirror reflections.Comment: 7 pages, 4 figure

Interpolation with circular basis functions

In this paper we consider basis function methods for solving the problem of interpolating data over distinct points on the unit circle. In the special case where the points are equally spaced we can appeal to the theory of circulant matrices which enables an investigation into the stability and accuracy of the method. This work is a further extension and application of the research of Cheney, Light and Xu ([W.A. Light and E.W. Cheney, J. Math. Anal. Appl., 168:110–130, 1992] and [Y. Xu and E.W. Cheney, Computers Math. Applic., 24:201–215, 1992]) from the early nineties

Fock-state view of weak-value measurements and implementation with photons and atomic ensembles

Weak measurements in combination with post-selection can give rise to a striking amplification effect (related to a large "weak value"). We show that this effect can be understood by viewing the initial state of the pointer as the ground state of a fictional harmonic oscillator, helping us to clarify the transition from the weak-value regime to conventional dark-port interferometry. We then describe how to implement fully quantum weak-value measurements combining photons and atomic ensembles.Comment: 4 pages, 1 figur

A delay logistic equation with variable growth rate

A logistic equation with distributed delay is considered in the case where the growth rate oscillates sinusoidally about a positive mean value. A delay kernel is chosen which admits bifurcation of the equilibrium state into a periodic solution when the growth rate is constant. It is shown that the fluctuations in growth rate modulate the bifurcation into a quasiperiodic solution. In certain circumstances, however, it is shown that frequency locking can occur but that this is a local phenomenon which does not persist outside the immediate vicinity of the bifurcation point