In the directed landscape, shock structures of eternal solutions reconstruct the instability region of the KPZ fixed point, and all semi-infinite geodesic configurations from any space-time point fall into exactly twenty networks.
The KPZ equation and the directed landscape
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.PR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Exponential last-passage percolation and Poisson-avoiding metrics converge to the directed landscape in half-space, characterized via the half-space KPZ fixed point with explicit stationary measures.
citing papers explorer
-
Shocks, instability, and the twenty networks of infinite geodesics in the Directed Landscape
In the directed landscape, shock structures of eternal solutions reconstruct the instability region of the KPZ fixed point, and all semi-infinite geodesic configurations from any space-time point fall into exactly twenty networks.
-
The directed landscape in half-space
Exponential last-passage percolation and Poisson-avoiding metrics converge to the directed landscape in half-space, characterized via the half-space KPZ fixed point with explicit stationary measures.