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Showing 1 to 3 of 3 for “"Gibbs point processes"”.
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Modeling spatial patterns of mixed-species Appalachian forests with Gibbs point processes
Stochastic point processes and associated methodology provide a means for the statistical analysis and modeling of the spatial point pattern formed from forest tree stem locations. Stochastic Gibbs point processes were explored as models that could simulate short-range clustering arising from …
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Point Process Modelling of Objects in the Star Formation Complexes of the M33 Galaxy
In this thesis, Gibbs point process (GPP) models are constructed to study the spatial distribution of objects in the star formation complexes of the M33 galaxy. The GPP models circumvent the limitations of the two-point correlation function employed in the current astronomy literature by naturally …
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Point processes in statistical mechanics : a cluster expansion approach
A point process is a mechanism, which realizes randomly locally finite point measures. One of the main results of this thesis is an existence theorem for a new class of point processes with a so called signed Levy pseudo measure L, which is an extension of the class of infinitely divisible point …