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math.PR2024
Limit Properties of Record Numbers in Random walks
Penghui Lu, Yuqiang Li, Qiang Yao
In this paper, we systematically summarize and enhance the understanding of weak convergence and functional limits of record numbers in discrete-time random walks under Spitzer's c…
math.PR2012★ 9 cited
Exponential extinction time of the contact process on finite graphs
Thomas Mountford, Jean-Christophe Mourrat, Daniel Valesin +1
We study the extinction time $\uptau$ of the contact process on finite trees of bounded degree. We show that, if the infection rate is larger than the critical rate for the contact…