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References
- Bertoin, Jean. Lévy processes. Cambridge Tracts in Mathematics, 121. Cambridge University Press, Cambridge, 1996. x+265 pp. ISBN: 0-521-56243-0 MR1406564
- Bertoin, Jean. An extension of Pitman's theorem for spectrally positive Lévy processes. Ann. Probab. 20 (1992), no. 3, 1464--1483. MR1175272
- Bertoin, Jean. Splitting at the infimum and excursions in half-lines for random walks and Lévy processes. Stochastic Process. Appl. 47 (1993), no. 1, 17--35. MR1232850
- Bertoin, J.; Doney, R. A. On conditioning a random walk to stay nonnegative. Ann. Probab. 22 (1994), no. 4, 2152--2167. MR1331218
- Chaumont, L. Sur certains processus de Lévy conditionnés à rester positifs. (French) [On certain Levy processes that are conditioned to stay positive] Stochastics Stochastics Rep. 47 (1994), no. 1-2, 1--20. MR1787140
- Chaumont, L. Conditionings and path decompositions for Lévy processes. Stochastic Process. Appl. 64 (1996), no. 1, 39--54. MR1419491
- Doney, Ronald A. Tanaka's construction for random walks and Lévy processes. Séminaire de Probabilités XXXVIII, 1--4, Lecture Notes in Math., 1857, Springer, Berlin, 2005. MR2126962
- Doney, Ronald A. Some excursion calculations for spectrally one-sided Lévy processes. Séminaire de Probabilités XXXVIII, 5--15, Lecture Notes in Math., 1857, Springer, Berlin, 2005. MR2126963
- Duquesne, Thomas. Path decompositions for real Levy processes. Ann. Inst. H. Poincaré Probab. Statist. 39 (2003), no. 2, 339--370. MR1962781
- Hirano, Katsuhiro. Lévy processes with negative drift conditioned to stay positive. Tokyo J. Math. 24 (2001), no. 1, 291--308. MR1844435
- Millar, P. W. Zero-one laws and the minimum of a Markov process. Trans. Amer. Math. Soc. 226 (1977), 365--391. MR0433606
- sc V. Rivero: Recouvrements aléatoires et processus de Markov auto-similaires. PhD Thesis. Université Paris 6, (2004).
- Silverstein, Martin L. Classification of coharmonic and coinvariant functions for a Lévy process. Ann. Probab. 8 (1980), no. 3, 539--575. MR0573292
- Tanaka, Hiroshi. Time reversal of random walks in one-dimension. Tokyo J. Math. 12 (1989), no. 1, 159--174. MR1001739
- Tanaka, Hiroshi. Lévy processes conditioned to stay positive and diffusions in random environments. Stochastic analysis on large scale interacting systems, 355--376, Adv. Stud. Pure Math., 39, Math. Soc. Japan, Tokyo, 2004. MR2073341

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