Stationary half-space geometric last passage percolation

Jiyue Zeng

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arXiv · 2507.11887

Stationary half-space geometric last passage percolation

Jiyue Zeng

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Abstract

We consider the half-space geometric Last Passage Percolation model starting with stationary measures. We obtain exact formulas for LPP value along the diagonal $(N,N)$ across the entire phase diagram. We also obtain the limits of these distributions under critical scaling which should yield the one-point distribution of the half-space KPZ fixed point starting from stationary initial conditions.

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Jiyue Zeng. 2025-07-16. Stationary half-space geometric last passage percolation. https://arxiv.org/abs/2507.11887

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