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The directed landscape from Brownian motion

math.PR · 2024-04-30 · unverdicted · novelty 8.0

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.

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  • The directed landscape from Brownian motion math.PR · 2024-04-30 · unverdicted · none · ref 27

    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.