Author

Xiao Shen

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Preprint Aug 2026

Negative association of Busemann functions in exponential last-passage percolation

One hallmark of exactly solvable KPZ random growth models is product-form invariant measures. In the setting of exponential last-passage percolation (LPP), this corresponds to the independence of Busemann increments along any down-right path. However, this independence breaks down when multiple asymptotic directions ar...

Erik Bates, Xiao Shen · 0 citations