For slowly varying fields on the scale of the lightest mass the logarithm of the vacuum functional of a massive quantum field theory can be expanded in terms of local functionals satisfying a form of the Schrödinger equation, the principal ingredient of which is a regulated functional Laplacian. We extend a previous work to construct the next to leading order terms of the Laplacian for the Schr...

We present a very simple "impact" model for the description of forest fires and show that it can mimic the known characteristics of wild fire regimes in savannas, boreal forests, and Mediterranean forests. Moreover, the distribution of burned biomasses in model generated fires resemble those of burned areas in numerous large forests around the world. The model has also the merits of being the f...

A notion of branch-width may be defined for matroids, which generalizes the one known for graphs. We first give a proof of the polynomial time model checking of MSOM on representable matroids of bounded branch-width, by reduction to MSO on trees, much simpler than the one previously known. We deduce results about spectrum of MSOM formulas and enumeration on matroids of bounded branch-width. We ...

Traffic models developed for control include first order LWR model and second order models. The first order model is essentially density dynamics which states the conservation of the number of vehicles in a section of highway. Most second order models are essentially a speed dynamics coupled with the first order density dynamics. There are several second order models but most are for explaining...

The second order random walk (RW2) model is commonly used for smoothing data and for modelling response functions. It is computationally efficient due to the Markov properties of the joint (intrinsic) Gaussian density. For evenly spaced locations the RW2 model is well established, whereas for irregularly spaced locations there is no well established construction in the literature. By considerin...

Existing models of stochastic network equilibrium route choice in transport networks are able to represent exogenously-specified variations in drivers’ actual or perceived travel costs, but assume throughout that flows are deterministic. In this paper, a new notion of equilibrium is presented based on stochastic flow variables, in which the impact of variable flows on the variability in travel ...

in this research, adsorption of dibenzothiophene (dbt) as a model of sulfur containing material has been studied by pb exchanged y-zeolite under different experimental conditions. the adsorption was kinetically fast and high adsorption capacity was obtained. the equilibrium adsorption data were analyzed using langmuir and freunlich isotherm models. the corresponding parameters and correlation c...

A macroscopic traffic flow model describes the evolution of aggregated traffic characteristics over time and space, which is a basic and critical component for various modern intelligent transportation systems, e.g., a real-time freeway control system. Traditional macroscopic traffic flow models are built in the Eulerian coordinates using Eulerian traffic characteristics, such as density, speed...

In this paper we consider a minimum distance Controlled Tabular Adjustment (CTA) model for statistical disclosure limitation (control) of tabular data. The goal of the CTA model is to find the closest safe table to some original tabular data set that contains sensitive information. The measure of closeness is usually measured using `1 or `2 norm; with each measure having its advantages and disa...