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The range of random walk on trees and related trapping problem

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Abstract

This paper treats of the range of the simple random walk on trees and a related trapping problem. The strong law of large numbers and the central limit theorem for the range, and some asymptotic behaviour for the mean trapping time and survival probability are presented.

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This work is partly supported by the National Natural Science Foundation of China and the State Educational Committee of China.

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Chen, M., Yan, S. & Zhou, X. The range of random walk on trees and related trapping problem. Acta Mathematicae Applicatae Sinica 13, 1–16 (1997). https://doi.org/10.1007/BF02020476

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  • DOI: https://doi.org/10.1007/BF02020476

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