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Asymptotic shape and the speed of propagation of continuous-time continuous-space birth processes
Published online by Cambridge University Press: 20 March 2018
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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- Copyright © Applied Probability Trust 2018
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