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An Extension of the Kolmogorov-Avrami Formula to Inhomogeneous Birth-and-Growth Processes

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Abstract

It has been shown by a substantial body of literature that the hazard function plays an important role in the derivation of evolution equations of volume and n-facet densities of Johnson-Mehl tessellations generated by germ-grain models associated with spatially homogeneous birth-and-growth processes.

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Burger, M., Capasso, V., Micheletti, A. (2007). An Extension of the Kolmogorov-Avrami Formula to Inhomogeneous Birth-and-Growth Processes. In: Aletti, G., Micheletti, A., Morale, D., Burger, M. (eds) Math Everywhere. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44446-6_6

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