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math.PR2026
Random Trees in Hyperbolic FPP
Riddhipratim Basu, Mahan Mj
We start by surveying known properties of first passage percolation (FPP) geodesics on a Gromov-hyperbolic group . Due to a coalescence phenomenon established in earlier work of…
math.PR2026
Geodesic Trees and Exceptional Directions in FPP on Hyperbolic Groups
Riddhipratim Basu, Mahan Mj
We continue the study of the geometry of infinite geodesics in first passage percolation (FPP) on Gromov-hyperbolic groups G, initiated by Benjamini-Tessera and developed further b…
math.PR2026
Randomized Geodesic Flow on Hyperbolic Groups
Luzie Kupffer, Mahan Mj, Chiranjib Mukherjee
Motivated by Gromov's geodesic flow problem on hyperbolic groups , we develop in this paper an analog using random walks. This leads to a notion of a harmonic analog of the…