The work delivers the first full classification of extremal invariant measures for a half-space KPZ-class model and proves convergence to the Busemann process from arbitrary initial conditions with given slope.
Invariant measures and shocks in the KPZ fixed point
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
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math.PR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Eternal solutions of the KPZ fixed point are completely classified as patchings of Busemann functions, with shocks at patch boundaries that coalesce forward in time and can form backward.
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Invariant measures for half-space geometric LPP: classification and the one force--one solution principle
The work delivers the first full classification of extremal invariant measures for a half-space KPZ-class model and proves convergence to the Busemann process from arbitrary initial conditions with given slope.
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Classification of the eternal solutions and multiple coalescing shocks in the KPZ fixed point
Eternal solutions of the KPZ fixed point are completely classified as patchings of Busemann functions, with shocks at patch boundaries that coalesce forward in time and can form backward.