Physical Sciences and Mathematics Commons^™

Controllability And Stabilizability Of Coupled Strings With Control Applied At The Coupled Points, Lop-Fat Ho

Mathematics and Statistics Faculty Publications

Controllability and stabilizability of a system of coupled strings with control applied at the coupled points is studied. By investigating the properties of certain exponential series, it is shown that the system is approximate controllable if and only if related systems of uncoupled strings do not share a common eigenvalue. A sufficient condition for exact controllability is also obtained in terms of the Riesz basis properties of those exponential series.

Deadly Confusion: Juror Instructions In Capital Cases, Theodore Eisenberg, Martin T. Wells

Cornell Law Faculty Publications

A fatal mistake. A defendant is sentenced to die because the jury was misinformed about the law. The justice system should be designed to prevent such a tragic error. Yet our interviews with jurors who served in South Carolina capital cases indicate that this nightmare is a reality.

Although our data are limited to South Carolina, the question whether jurors are adequately instructed in capital cases is of national concern. For example, the issue whether jurors should be more fully informed about the alternative to a death sentence has arisen in other states. And the question whether jurors understand the …

Harmonic-Analysis Of Fractal Measures Induced By Representations Of A Certain C*-Algebra, Palle Jorgensen, Steen Pedersen

Mathematics and Statistics Faculty Publications

We describe a class of measurable subsets Ω in R^d such that L²(Ω) has an orthogonal basis of frequencies e_λ(x) = e^i2πλ.x(x ε Ω) indexed by λ ∈ Λ ⊂ R^d. We show that such spectral pairs (Ω, Λ) have a self-similarity which may be used to generate associated fractal measures μ with Cantor set support. The Hilbert space L²(μ) does not have a total set of orthogonal frequencies, but a harmonic analysis of mu may be built instead from a natural representation of the Cuntz …

The Full Group Of A Countable Measurable Equivalence Relation, Richard Mercer

Mathematics and Statistics Faculty Publications

We study the group of all ''R-automorphisms'' of a countable equivalence relation R on a standard Borel space, special Borel automorphisms whose graphs lie in R. We show that such a group always contains periodic maps of each order sufficient to generate R. A construction based on these periodic maps leads to totally nonperiodic R-automorphisms all of whose powers have disjoint graphs. The presence of a large number of periodic maps allows us to present a version of the Rohlin Lemma for R-automorphisms. Finally we show that this group always contains copies of free …

Products Liability Cases On Appeal: An Empirical Study, Theodore Eisenberg, James A. Henderson Jr.

Cornell Law Faculty Publications

This article analyzes 1,100 opinions to find the determinants of products liability cases on appeal in state and federal courts. The strongest predictor of plaintiff success on appeal is whether the plaintiff prevailed in a jury trial. Other important factors are the defendant's status as manufacturer, wholesaler, or successor corporation; the plaintiffs degree of injury; and whether the case involved a failure-to-warn claim. The existence of a comparative negligence regime increases the tendency of appellate courts to affirm lower courts. These results allow rejection of a simple model in which pre- and posttrial settlement behavior filters out cases in which …

Computational Problems With Binomial Failure Rate Model And Incomplete Common Cause Failure Reliability Data, Paul H. Kvam

Department of Math & Statistics Faculty Publications

In estimating the reliability of a system of components, it is ordinarily assumed that the component lifetimes are independently distributed. This assumption usually alleviates the difficulty of analyzing complex systems, but it is seldom true that the failure of one component in an interactive system has no effect on the lifetimes of the other components. Often, two or more components will fail simultaneously due to a common cause event. Such an incident is called a common cause failure (CCF), and is now recognized as an important contribution to system failure in various applications of reliability. We examine current methods for …

On The Positive Solutions Of The Matukuma Equation, Yi Li

Mathematics and Statistics Faculty Publications

No abstract provided.

Radial Symmetry Of Positive Solutions Of Nonlinear Elliptic Equations In Rn, Yi Li, Wei-Ming Ni

Mathematics and Statistics Faculty Publications

No abstract provided.

Ua56/1 Fact Book, Wku Institutional Research

WKU Archives Records

Statistical and demographic profile of WKU.