Asymptotic shape and the speed of propagation of continuous-time continuous-space birth processes
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Date
2018-03
Publication Type
Journal Article
ETH Bibliography
yes
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Abstract
We formulate and prove a shape theorem for a continuous-time continuous-space stochastic growth model under certain general conditions. Similar to the classical lattice growth models, the proof makes use of the subadditive ergodic theorem. A precise expression for the speed of propagation is given in the case of a truncated free-branching birth rate.
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published
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Journal / series
Volume
50 (1)
Pages / Article No.
74 - 101
Publisher
Cambridge University Press
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Edition / version
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Subject
Shape theorem; spatial birth process; growth model
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Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.