| The Spread Speed of Multiple Catalytic Branching Random Walks |
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| 作者姓名： | Rong-li LIU |
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| 作者单位： | School of Mathematics and Statistics, Beijing Jiaotong University |
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| 基金项目： | supported in part by the National Natural Science Foundation of China (No.12271374)； |
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| 摘 要： | In this paper we study the asymptotic behavior of the maximal position of a supercritical multiple catalytic branching random walk(Xn) on Z. If Mn is its maximal position at time n, we prove that there is a constant α > 0 such that Mn/n converges to α almost surely on the set of infinite number of visits to the set of catalysts. We also derive the asymptotic law of the centered process Mn-αn as n → ∞. Our results are similar to those in 13]. However, our resu...
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The Spread Speed of Multiple Catalytic Branching Random Walks |
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| Rong-li LIU.The Spread Speed of Multiple Catalytic Branching Random Walks[J].Acta Mathematicae Applicatae Sinica,2023,39(2):262-292. |
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| Authors: | Liu Rong-li |
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| Institution: | 1.School of Mathematics and Statistics, Beijing Jiaotong University, Beijing, 100044, China
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| Abstract: | Acta Mathematicae Applicatae Sinica, English Series - In this paper we study the asymptotic behavior of the maximal position of a supercritical multiple catalytic branching random walk (Xn) on... |
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