New features are described for models with multi-particle area-dependent potentials, in any number of dimensions. The corresponding many-body field theories are investigated for classical configurations. Some explicit solutions are given, and some conjectures are made about chaos in such field theories. Area-dependent potentials, V (A = r1 ∧ r2), or their mathematical equivalents, appear in sev...

Characterization of material changes with depth (profiles) in many landfill sites can be problematic for some conventional geophysical methods. Localized anomalies within the landfill can complicate mapping of underlying layers, and layered-model techniques are inappropriate for imaging laterally discontinuous landfills. Recently-developed geophysical hardware and software tools provide the opp...

Areal interpolation is the process of transferring data collected over source zones to target zones. One of the applications of areal interpolation is to construct temporally consistent areal units for comparing socioeconomic data over time. Dasymetric modeling is the process of employing ancillary data to spatially refine the distribution of socioeconomic variables. In this paper, three areal ...

This paper deals with the application of the spline filter as an areal filter for surface metrology. A profile (2D) filter is often applied in orthogonal directions to yield an areal filter for a three-dimensional (3D) measurement. Unlike the Gaussian filter, the spline filter presents an anisotropic characteristic when used as an areal filter. This disadvantage hampers the wide application of ...

Areal interpolation is a geospatial analysis method that allows researchers to estimate the incidence of a phenomenon in one set of areal units given data based on different areal units. One practice implemented in conjunction with areal interpolation is known as filtered area weighting, in which ancillary data is introduced to exclude specific areas from the areal units based on certain criter...