A Johnson-Mehl Tessellation can be regarded as the result of a spatial birth-growth process. When the time of completion of the process is studied, the coverage probabilities of the corresponding Boolean model play an important role. This paper deals with the structure of the interfaces of a Johnson-Mehl Tessellation, by relaxing the assumption of constant speed of growth of the crystals. The lifetime distribution function of a point in $R^d$ is introduced to relate the interface density in a k-dimensional section of $R^d$ with the coverage probabilities of the corresponding Boolean model. A general geometrical interpretation is given.
|Titolo:||Geometrical interpretation of the mean content of n-interfaces in a Johnson-Mehl tessellation of R^d|
MICHELETTI, ALESSANDRA (Ultimo)
|Settore Scientifico Disciplinare:||Settore MAT/06 - Probabilita' e Statistica Matematica|
|Data di pubblicazione:||1997|
|Appare nelle tipologie:||01 - Articolo su periodico|