Extremal rooted Gibbs-DLR measures in planar directed polymers form a closed, totally ordered, coalescing family and generate a unique canonical Busemann process with L1 continuity.
Inviscid Burgers equation with random kick forcing in noncompact setting
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Rooted Gibbs-DLR Measures in Planar Directed Polymers
Extremal rooted Gibbs-DLR measures in planar directed polymers form a closed, totally ordered, coalescing family and generate a unique canonical Busemann process with L1 continuity.