Strong invariance and noise-comparison principles for some parabolic stochastic PDEs

We consider a system of interacting diffusions on the integer lattice. By letting the mesh size go to zero and by using a suitable scaling, we show that the system converges (in a strong sense) to a solution of the stochastic heat equation on the real line. As a consequence, we obtain comparison inequalities for product moments of the stochastic heat equation with different nonlinearities.Comment: 26 page

Decisions Athletic Directors Face When Allocating Funds in an Athletic Department

The purpose of this study is to understand the decision-making process athletic directors use when allocating funds within an athletic department. The research is intended to identify the decision-making process athletic directors use when dealing with finances in their department. Athletic directors have a large role in an athletic department and are the driving force for their institution’s athletics, especially regarding the finances related to athletics. Using a qualitative research method using interviews, surveys, and document review, themes of budgeting plans, fundraising, and benchmark analysis emerged

Clear Waters

While investigating the gruesome death of a marine biologist, a by-the-book biracial detective and a jaded Tribal officer uncover a conspiracy surrounding a sea cucumber poaching ring on the reservation. Inspired by actual events

CONSTITUTIONAL LAW -- INTERSTATE COMMERCE -- VALIDITY OF FEDERAL STATUTE PROHIBITING INTERSTATE SHIPMENT OF PRISON-MADE GOODS

The recent decision of the Supreme Court in Kentucky Whip & Collar Co. v. Illinois Central R. R., provides an effective method of circumventing the doctrine of Hammer v. Dagenhart, which held that Congress may not prohibit the interstate transportation of commodities which are harmless except for their economic effect in the state of destination. It is hailed by the advocates of reform as furnishing an avenue of approach to such problems as the regulation of minimum wages and hours and child labor

CONSTITUTIONAL LAW-RESALE PRICE MAINTENANCE -FAIR TRADE ACTS

Four cases upholding the validity of the California and Illinois Fair Trade Acts were recently sustained by the United States Supreme Court. All four cases involved a similar set of facts. Plaintiffs, the owners or authorized distributors of certain well known trade-marked articles, entered into a series of contracts with wholesalers and retailers fixing the resale prices of their branded products. When defendants, certain retailers who had refused to enter into such agreements, persisted in reselling the articles below the prices stipulated in the contracts with other retailers, plaintiffs sued to enjoin them under the provisions of the state Fair Trade Acts. The injunctions were allowed by the California and Illinois Supreme Courts over the objection of defendants that the statutes were invalid under the due process and equal protection clauses. On appeal to the United States Supreme Court it was held that the statutes were legitimate measures designed to protect the good will of a producer as symbolized in his trade-marked goods. Old Dearborn Distributing Co. v. Seagram-Distillers Corp., McNeil v. Joseph Triner Corp., Pep Boys v. Pyroil Sales Co., Kunsman v. Max Factor & Co., (U. S. 1936) 57 S. Ct. 139, 147