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- W2050070115 abstract "Consider the following birth-growth model in ℝ. Seeds are born randomly according to an inhomogeneous space-time Poisson process. A newly formed point immediately initiates a bi-directional coverage by sending out a growing branch. Each frontier of a branch moves at a constant speed until it meets an opposing one. New seeds continue to form on the uncovered parts on the line. We are interested in the time until a bounded interval is completely covered. The exact and limiting distributions as the length of interval tends to infinity are obtained for this completion time by considering a related Markov process. Moreover, some strong limit results are also established." @default.
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- W2050070115 date "2000-09-01" @default.
- W2050070115 modified "2023-09-27" @default.
- W2050070115 title "The time of completion of a linear birth-growth model" @default.
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- W2050070115 doi "https://doi.org/10.1239/aap/1013540234" @default.
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