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Asymptotic shape and the speed of propagation of continuous-time continuous-space birth processes. (arXiv:1609.04070v2 [math.PR] UPDATED)

来源于:arXiv
We formulate and prove a shape theorem for a continuous-time continuous-space stochastic growth model under certain general conditions. Similarly 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. 查看全文>>