We consider Funaki’s model of a random string taking values in R d. It is specified by the following stochastic PDE, ∂u(x) ∂t = ∂2u(x) ∂x2 + Ẇ . where Ẇ = Ẇ (x, t) is two-parameter white noise, also taking values in Rd. We find the dimensions in which the string hits points, and in which it has double points of various types. We also study the question of recurrence and transience. Supported by...

We derive the critical behavior of a CA traffic flow model using an order parameter breaking the symmetry of the jam-free phase. Random braking appears to be the symmetry-breaking field conjugate to the order parameter. For v max = 2, we determine the values of the critical exponents β, γ and δ using an order-3 cluster approximation and computer simulations. These critical exponents satisfy a s...

Using a function algebra characterization of exponential time due to Monien 5], in the style of Bellantoni-Cook 2], we characterize exponential time functions of linear growth via a safe course-of-values recursion scheme.

This article is a critical review of some of the methods that have been used for the sampling, analysis, and monitoring of vapor-phase toluene diisocyanate (TDI). Only some of the methods that have received relatively widespread application have been addressed in this article. This review includes a "tutorial style" discussion of basic definitions and basic principles and procedures of quality ...

We derive the critical behavior of a CA traffic flow model using an order parameter breaking the symmetry of the jam-free phase. Random braking appears to be the symmetry-breaking field conjugate to the order parameter. For v max = 2, we determine the values of the critical exponents β, γ and δ using an order-3 cluster approximation and computer simulations. These critical exponents satisfy a s...