Stochastic continuity equations with conservative noise

The present article is devoted to well-posedness by noise for the continuity equation. Namely, we consider the continuity equation with non-linear and partially degenerate stochastic perturbations in divergence form. We prove the existence and uniqueness of entropy solutions under hypotheses on the velocity field which are weaker than those required in the deterministic setting. This extends related results of [Flandoli, Gubinelli, Priola; Invent. Math., 2010] applicable for linear multiplicative noise to a non-linear setting. The existence proof relies on a duality argument which makes use of the regularity theory for fully non-linear parabolic equations.Comment: 42 page

Using Lessons from Health Care to Protect the Privacy of Library Users: Guidelines for the De-Identification of Library Data based on HIPAA

While libraries have employed policies to protect the data about use of their services, these policies are rarely specific or standardized. Since 1996 the U.S. healthcare system has been grappling with the Health Insurance Portability and Accountability Act (HIPAA), which is designed to provide those handling personal health information with standardized, definitive instructions as to the protection of data. In this work, the authors briefly discuss the present situation of privacy policies about library use data, outline the HIPAA guidelines to understand parallels between the two, and finally propose methods to create a de-identified library data warehouse based on HIPAA for the protection of user privacy

Efficacy of laser preionization with a semiconductor source and propene addition

It is established that propene is an effective additive instabilising uv preionised CO2 TEA laser discharges: its effect being particularly pronounced with semiconductor-edge preionised lasers where the preionisation levels are shown to be low

Relationships between Stock Prices and Accounting Information: A Review of the Residual Income and Ohlson Models

As one of the main purposes of financial statements is to provide relevant information for investors, relationships between share prices and accounting variables have been widely researched. Early studies focus mainly on earnings, but attention has turned in recent years to valuation models that include the book value of the equity. Many of these studies cite the residual income model as their theoretical base and, with the growing emphasis on shareholder value, residual income measures are more commonly used in the business community to track financial performance. Given such trends, this paper reviews the theoretical background of the residual income model and discusses results of empirical studies that use it. The study finds that the two main accounting variables can usually explain a substantial part of the variation in share prices, and it also identifies a number of issues that remain unresolved. These findings should be of interest to other researchers, and to managers and investors who currently use or are planning to use residual income to monitor business performance.