Initial-condition universality of the KPZ upper tail field
Initial-condition universality of the KPZ upper tail field
Let the KPZ fixed point have a general initial condition that grows sufficiently more slowly than as becomes large, so that the KPZ fixed point exists at . General-initial-condition upper-tail conjecture. Theorem 1 holds for the KPZ fixed point with such a general initial condition, and the upper tail field of the KPZ fixed point is independent of the initial condition. This is proposed as a generalization of the paper's main result beyond the narrow-wedge initial condition; the supplied text gives no resolution.
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Primary source
Zhipeng Liu and Ruixuan Zhang, “An upper tail field of the KPZ fixed point”, arXiv:2501.00932 (2025).
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