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math.PR2024
Time correlations in the inverse-gamma polymer with flat initial condition
Xiao Shen
Temporal correlations in the KPZ universality class have gained significant attention, following the conjectures in [Ferr-Spoh'16]. Building on prior work in the zero temperature s…
math.PR2024
Lower bound for large transversal fluctuations in exactly solvable KPZ models
Xiao Shen
The study of transversal fluctuation of the optimal path has been a crucial aspect of the Kadar-Parisi-Zhang (KPZ) universality class. In this paper, we establish a new probability…