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math.PR2023★ 1 cited
A Peano curve from mated geodesic trees in the directed landscape
Riddhipratim Basu, Manan Bhatia
For the directed landscape, the putative universal space-time scaling limit object in the (1+1) dimensional Kardar-Parisi-Zhang (KPZ) universality class, consider the geodesic tree…
math.PR2023★ 1 cited
Duality in the directed landscape and its applications to fractal geometry
Manan Bhatia
Geodesic coalescence, or the tendency of geodesics to merge together, is a hallmark phenomenon observed in a variety of planar random geometries involving a random distortion of th…