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The Falling-Leaves Mosaic and its Equilibrium Properties
Published online by Cambridge University Press: 01 July 2016
Abstract
Consider a forest of maple trees in autumn, with leaves falling on the ground. Those coming late cover the others below, so eventually the fallen leaves form a statistically homogeneous spatial pattern. In particular, the uncovered leaf boundaries form a mosaic. We formulate a mathematical model to describe this mosaic, firstly in the case where the leaves are polygonal and later for leaves with curved boundaries. Mean values of certain statistics of the mosaic are derived.
MSC classification
- Type
- Stochastic Geometry and Statistical Applications
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- Copyright © Applied Probability Trust 1994
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