Ivan Corwin
Published 2023-06-29Version 1
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.
Comments: 6 pages, 2 figures. To appear in special issue of SPA in memory of Francis Comets
Last Passage Percolation with a Defect Line and the Solution of the Slow Bond Problem
Stability and chaos in dynamical last passage percolation
A patchwork quilt sewn from Brownian fabric: regularity of polymer weight profiles in Brownian last passage percolation
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