Constructs an almost sure bijection from sequences of independent Brownian motions to the directed landscape on the half-plane, with explicit inverse yielding convergence of Brownian last-passage percolation, and applies it to reconstruct the landscape from the parabolic Airy line ensemble.
(57) Now, by Theorem 4.9 we have that ( W m) 0 d= ( ˜W m) 0 ∼µ θm
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The directed landscape from Brownian motion
Constructs an almost sure bijection from sequences of independent Brownian motions to the directed landscape on the half-plane, with explicit inverse yielding convergence of Brownian last-passage percolation, and applies it to reconstruct the landscape from the parabolic Airy line ensemble.