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References

  1. Alili, L. and Chaumont, L. (2001) A new fluctuation identity for Levy processes and some applications. Bernoulli 7, 557--569. Math. Review 2002f:60090 MR1836746
  2. Alili, L. and Kyprianou, A.E. (2005) Some remarks on first passage of Levy processes, the American put and pasting principles, Ann. Appl. Probab., 15, 2062--2080. Math. Review 2006b:60078 MR2152253
  3. Andrew, P. (2006) A proof from "first principles" of Kesten's result for the probabilities with which a subordinator hits points, Electron. Comm. Probab. 11, 58--63. Math. Review 2007h:60031 MR2219346
  4. Bertoin, J. (1996) Levy Processes. Cambridge Univ. Press. Math. Review 98e:60117 MR1406564
  5. Chaumont, L. and Doney, R.A. (2010) Invariance principles for local times at the supremum of random walks and Levy processes. Ann. Probab. 38, 1368--1389 Math. Review 2011j:60105 MR2663630
  6. Doney, R.A. (2005) Fluctuation Theory for Levy Processes. Lecture Notes in Mathematics 1897, Ecole d'Ete de Probabilites de Saint-Flour XXXV, J. Picard, Ed. Math. Review number not available.
  7. Doney, R.A. and Kyprianou, A. (2006) Overshoots and undershoots of Levy processes. Ann. Appl. Probab. 16, 91--106. Math. Review 2007b:60117 MR2209337
  8. Griffin, P.S. and Maller, R.A. (2011a) Path decomposition of ruinous behaviour for a general L evy insurance risk process. Ann. Appl. Probab., to appear. . Math. Review number not available.
  9. Griffin, P.S. and Maller, R.A. (2011b). Stability of the exit time for Levy processes. Adv. Appl. Probab., 43, 712--734. Math. Review number not available.
  10. Kesten, H. (1969) Hitting probabilities of single points for processes with stationary independent increments. Memoirs of the American Math. Soc., 93. Math. Review number not available.
  11. Kyprianou, A. (2006). Introductory Lectures on Fluctuations of Levy Processes with Applications. Springer, Berlin Heidelberg New York. Math. Review 2008a:60003 MR2250061
  12. Percheskii, E.A. and Rogozin, B.A. (1969) On joint distributions of random variables associated with fluctuations of a process with independent increments, Theory Probab. Appl., 14, 410--423. Math. Review number not available.
  13. Sato, K. (1999). Levy Processes and Infinitely Divisible Distributions. Cambridge University Press, Cambridge. Math. Review number not available.
  14. Savov, M. and Winkel, M. (2010) Right inverses of Levy processes: the excursion measure in the general case, Electron. Comm. Probab. 15, 572–584. Math. Review 2746335 MR2746335
  15. Vigon, V. (2002). Votre Levy rampe-t-il? J. London Math. Soc., 65, 243--256. Math. Review 2002i:60101 MR1875147
  16. Winkel, M. (2005) Electronic foreign exchange markets and passage events of independent subordinators. J. Appl. Probab. 42, 138--152 Math. Review 2006b:60102 MR2144899



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