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تسجيل مستخدم جديدAsymptotic shape and the speed of propagation of continuous-time continuous-space birth processes
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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.
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