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One-point distribution of the geodesic in directed last passage percolation.

Authors :
Liu, Zhipeng
Source :
Probability Theory & Related Fields. Oct2022, Vol. 184 Issue 1/2, p425-491. 67p.
Publication Year :
2022

Abstract

We consider the geodesic of the directed last passage percolation with iid exponential weights. We find the explicit one-point distribution of the geodesic location joint with the last passage times, and its limit as the parameters go to infinity under the KPZ scaling. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
01788051
Volume :
184
Issue :
1/2
Database :
Academic Search Index
Journal :
Probability Theory & Related Fields
Publication Type :
Academic Journal
Accession number :
159739943
Full Text :
https://doi.org/10.1007/s00440-022-01123-2