On the first passage of one-sided LΓ©vy m
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Iddo Eliazar; Joseph Klafter
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Article
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2004
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Elsevier Science
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English
β 341 KB
We study the ΓΏrst passage problem for one-sided LΓ evy motions: how does such a motion, started at the origin, cross a barrier positioned at the point x (x ΒΏ 0)? Since one-sided LΓ evy motions are pure-jump processes, they always 'leap' over barriers (rather than crossing them continuously). We henc