Hitting Probabilities of Finite Points for One-Dimensional Lévy Processes

Published 10 Feb 2026 in math.PR | (2602.09342v1)

Abstract: For a one-dimensional Lévy process, we derive an explicit formula for the probability of first hitting a specified point among a fixed finite set. Moreover, using this formula, we obtain an explicit expression for each entry of the $Q$-matrix of the trace process on the finite set. These formulas involve solely the renormalized zero resolvent.

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Kohki Iba

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