Regularity of the half-line for Lévy processes. (English) Zbl 0883.60069

Bertoin, Jean

Bull. Sci. Math. 121, No. 5, 345-354 (1997).

From the author’s abstract: Consider a real-valued Lévy process \(X\) started at zero. One says \(0\) is regular for \((0,\infty)\) if \(X\) enters \((0,\infty)\) immediately. If \(X\) has unbounded variation, \(0\) is regular. If \(X\) has bounded variation with drift \(\delta>0\), then also \(0\) is regular. The author characterizes in terms of the Lévy measure the regularity of zero for processes of bounded variation with zero drift.

Reviewer: M.Rao (Gainesville)

MSC:

60J99	Markov processes
60G17	Sample path properties

Keywords:

Lévy process; Lévy measure; regularity; variation