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火狐直播点击题目: The sustainability probability for the critical Derrida--Retaux model
报 告 人: 陈新兴
火狐直播点击人所在单位: 上海交通大学
火狐直播点击日期: 2022-05-27
火狐直播点击时间: 10:00-11:00
火狐直播点击地点: 腾讯会议:514-223-922
   
火狐直播点击摘要:

We are interested in the recursive model (Y_n, n\ge 0) studied by Collet et al. (Commun Math Phys 1984)  and by Derrida and Retaux (J Stat Phys 2014). We prove that at criticality, the probability P(Y_n>0) behaves like n^{-2 + o(1)} as n goes to infinity; this gives a weaker confirmation of predictions made in Collet et al. (1984), Derrida and Retaux (2014) and Chen et al. (2019). Our method relies on studying the number of pivotal vertices and open paths, combined with a delicate coupling argument.

5.27.pdf

   
本年度学院火狐直播点击总序号: 464

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