Every extremal invariant measure of the recentered KPZ fixed point is a Brownian motion with drift, and new shock-frame measures of Brownian plus Bessel form are constructed and shown to arise from open-boundary stationary measures.
Strong characterization for the Airy line ensemble
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Invariant measures and shocks in the KPZ fixed point
Every extremal invariant measure of the recentered KPZ fixed point is a Brownian motion with drift, and new shock-frame measures of Brownian plus Bessel form are constructed and shown to arise from open-boundary stationary measures.