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- W2043413089 abstract "A path decomposition at the infimum for positive self-similar Markov processes (pssMp) is obtained. Next, several aspects of the conditioning to hit 0 of a pssMp are studied. Associated to a given pssMp X, that never hits 0, we construct a pssMp X↓ that hits 0 in a finite time. The latter can be viewed as X conditioned to hit 0 in a finite time, and we prove that this conditioning is determined by the pre-minimum part of X. Finally, we provide a method for conditioning a pssMp that hits 0 by a jump to do it continuously." @default.
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- W2043413089 date "2007-12-01" @default.
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- W2043413089 title "On some transformations between positive self-similar Markov processes" @default.
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- W2043413089 doi "https://doi.org/10.1016/j.spa.2007.03.007" @default.
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