Environment seen from infinite geodesics in Liouville Quantum Gravity
Riddhipratim Basu,
Manan Bhatia,
Shirshendu Ganguly
Abstract:First passage percolation (FPP) on Z d or R d is a canonical model of a random metric space where the standard Euclidean geometry is distorted by random noise. Of central interest is the length and the geometry of the geodesic, the shortest path between points. Since the latter, owing to its length minimization, traverses through atypically low values of the underlying noise variables, it is an important problem to quantify the disparity between the environment rooted at a point on the geodesic and the typical… Show more
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