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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.PR2023
Independence property of the Busemann function in exactly solvable KPZ models
Xiao Shen
The study of Kadar-Parsi-Zhang (KPZ) universality class has been a subject of great interest among mathematicians and physicists over the past three decades. A notably successful a…