Francis Comets’ Gumbel last passage percolation

Francis Comets’ Gumbel last passage percolation
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弗朗西斯·科梅茨 (Francis Comet) 甘贝尔最后一段渗透

DOI:
10.1016/j.spa.2023.104267
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发表时间:
2024
影响因子:
1.4
通讯作者:
Corwin, Ivan
Corwin, Ivan
中科院分区:
数学3区
文献类型:
--
作者:
Corwin, Ivan

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2015年,弗朗西斯彗星与我分享了一个聪明的方法,将定向最后一段渗透模型与i.i.d.联系起来。Gumbel边权对对数-γ定向聚合物模型的一个特殊情况。据我所知,他从未把这写下来。在他最近去世后,我正在记录弗朗西斯的观察沿着与一些相关的渐近和讨论。本说明是专门为纪念弗朗西斯的工作在定向聚合物的研究定义和完善了该领域的极大。
In 2015, Francis Comets shared with me a clever way to relate a model of directed last passage percolation with i.i.d. Gumbel edge weights to a special case of the log-gamma directed polymer model. To my knowledge, he never wrote this down. In the wake of his recent passing I am recording Francis’ observation along with some associated asymptotics and discussion. This note is dedicated in memory of Francis whose work in the study of directed polymers defined and refined the field immensely.
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