Mathematics > Probability
[Submitted on 29 Jun 2023
]
Title: Francis Comets' Gumbel last passage percolation
Title: 弗朗西斯·科梅特的Gumbel最后通过渗透
Abstract: 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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