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.
References
Primary source
Zhipeng Liu and Ruixuan Zhang, “An upper tail field of the KPZ fixed point”, arXiv:2501.00932 (2025).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
No solutions have been posted yet.