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math.PR2025
Temporal correlation in the inverse-gamma polymer
Riddhipratim Basu, Timo Seppäläinen, Xiao Shen
Understanding the decay of correlations in time for (1+1)-dimensional polymer models in the KPZ universality class has been a challenging topic. Following numerical studies by phys…
math.PR2025
Estimates for the empirical distribution along a geodesic in first-passage percolation
Michael Damron, Jack Hanson, Christopher Janjigian +2
In first-passage percolation, we assign i.i.d.~nonnegative weights to the nearest-neighbor edges of and study the induced pseudometric . In this…