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math.PR2017★ 2 cited
Spine decompositions and limit theorems for a class of critical superprocesses
Yan-Xia Ren, Renming Song, Zhenyao Sun
In this paper, we first establish a decomposition theorem for size-biased Poisson random measures. As consequences of this decomposition theorem, we get a spine decomposition theor…
math.PR2017
A 2-spine Decomposition of the Critical Galton-Watson Tree and a Probabilistic Proof of Yaglom's Theorem
Yan-Xia Ren, Renming Song, Zhenyao Sun
In this note we propose a two-spine decomposition of the critical Galton-Watson tree and use this decomposition to give a probabilistic proof of Yaglom's theorem.