We consider the asymmetric simple exclusion process (ASEP) on the integers in which the initial density at a site (the probability that it is occupied) is given by a periodic function on the positive integers. (When the function is constant, this is the step Bernoulli initial condition.) Starting with a result in earlier work, we find a formula for the probability distribution for a given parti...

We consider the effect of a small cutoff ε on the velocity of a traveling wave in one dimension. Simulations done over more than ten orders of magnitude as well as a simple theoretical argument indicate that the effect of the cutoff ε is to select a single velocity which converges when ε → 0 to the one predicted by the marginal stability argument. For small ε, the shift in velocity has the form...

We study the controllability properties of the class of stochastic differential systems characterized by a linear controlled diffusion perturbed by a smooth, bounded, uniformly Lipschitz nonlinearity. We obtain conditions that guarantee the weak and strong controllability of the system. Also, given any open set in the state space we construct a control, depending only on the Lipschitz constant ...

An efficient humanitarian inventory control model and emergency logistics system plays a crucial role in maintaining reliable flow of vital supplies to the victims located in the shelters and minimizing the impacts of the unforeseen disruptions that can occur. This system should not only allow the efficient usage and distribution of emergency supplies but should also offer the ability to be int...

A comparison of three different experimental datasets leads to the identification of an apparently robust feature of free-recall data: a minimum in the rate of contiguous recall near the beginning of the recall process. By simulating verbal retrieval as a homogenous Markov chain with the experimentally observed transition matrix, I show that this behavior cannot be explained in terms of the non...

A Theoretical Model of the Chinese Labor Market This paper constructs a theoretical labor market model for China, and utilizes the model to examine the effects of various labor market policies on economic well-being. Two key features of the model are a segmented labor market involving three sectors – state-owned enterprises, private enterprises, and agriculture – and China’s unique household re...