We study the distribution of persistent sites (sites unvisited by particles A) in one dimensional A + A → ∅ reaction-diffusion model. We define the empty intervals as the separations between adjacent persistent sites, and study their size distribution n(k, t) as a function of interval length k and time t. The decay of persistence is the process of irreversible coalescence of these empty interva...

This work studies the notion of locality in the context of process speciication. It relates naturally with other works where information about the localities of a program is obtained information from its description written down in a programming language. This paper presents a new approach for this problem. In our case, the information about the system will be given in semantic terms using asyn...

The remarkable properties of light-emitting diodes (LEDs) make them ideal sources for many applications ranging from indicator lights, optical communication systems, and displays to solid-state lighting. In this paper a radiometric approach to realistically model the intensity spatial distribution of encapsulated LEDs is presented. We provide an analytical relationship between the radiated patt...

We study spatial networks constructed by randomly placing nodes on a manifold and joining two nodes with an edge whenever their distance is less than a certain cutoff. We derive the general expression for the connectivity distribution of such networks as a functional of the distribution of the nodes. We show that for regular spatial densities, the corresponding spatial network has a connectivit...

Rainfall is one of the most important climatic variables in the hydrology cycle. In flood estimation as well as environmental pollution studies in medium to large watersheds not only mus temporal pattern of rainfall t be known, but also the knowledge of its spatial distribution is required. Estimation of daily rainfall distribution without comparison and selection of suitable methods may lead...