A scheme is proposed to classify the basins for attractors of dynamical systems in arbitrary dimensions. There are four basic classes depending on their size and extent, and each class can be further quantified to facilitate comparisons. The calculation uses a Monte Carlo method and is applied to numerous common dissipative chaotic maps and flows in various dimensions.

In this paper we study a fundamental issue in the theory of modeling of financial markets. We consider a model where any investment opportunity is described by its cash flows. We allow for a finite number of transactions in a finite time horizon. Each transaction is held at a random moment. This places our model closer to the real world situation than discrete-time or continuous-time models. Mo...

Constructed wetland technology has been widely applied around the world to treat domestic wastewaters from the single family home to small communities. Constructed wetlands can be classified as either surface flow wetlands (similar to natural wetlands) or subsurface flow wetlands, where the wastewater flows through a media. Subsurface flow constructed wetlands can either be horizontal flow syst...

This paper quantifies the impact of the Hartz reforms on matching efficiency, using monthly SOEP gross worker flows (1983-2009). We show that, until the early 2000s, close to 60% of changes in the unemployment rate are due to changes in the inflow rate (job separation). On the contrary, since the implementation of the reforms in the mid-2000s, the importance of the outflow rate (job finding) ha...