A Riemann-Hilbert approach yields exact generating functions for first-passage statistics of 1D random walks, valid for continuous and discrete, symmetric and asymmetric jumps, with new exact asymptotics for Lévy flights.
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First-passage statistics of random walks: a general approach via Riemann-Hilbert problems
A Riemann-Hilbert approach yields exact generating functions for first-passage statistics of 1D random walks, valid for continuous and discrete, symmetric and asymmetric jumps, with new exact asymptotics for Lévy flights.