Some independence results related to the arc-sine law

Journal of Theoretical Probability

Volumn 9, Issue 2, 1996, Pages 447-458

  Bertoin, Jean ^a   Yor, Marc ^a  

^a University of Paris VII LPSM partially supported by ERC Starting Grant 680275 MALIG   (France)

Author keywords

Arc sine law; L vy process; Local time

Indexed keywords

EID: 21344455098     PISSN: 08949840     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02214659     Document Type: Article

References (12)

1. Bertoin, J., and Doney, R. A. (1995). Spitzer's condition for random walks and Lévy processes. Preprint.
2. Darling, D. A., and Kac, M. (1957). On occupation-times for Markov processes. Trans. Amer. Math. Soc. 84, 444-458.
3. Doney, R. A. (1993). A path decomposition for Lévy processes. Stoch. Proc. Appl. 47, 167-181.
4. Doney, R. A. (1995). Spitzer's condition and ladder variables in random walks. Prob. Th. Rel. Fields 101, 577-580.
5. Fristedt, B. E. (1974). Sample functions of stochastic processes with stationary independent increments. In Ney, P., and Port, S. (eds.), Advances in Applied Probability III, Dekker, pp. 241-396.
6. Getoor, R. K., and Sharpe, M. J. (1994). On the Arc-sine laws for Lévy processes. J. Appl. Prob. 31, 76-89.
7. Getoor, R. K., and Sharpe, M. J. (1994). Local times on rays for a class of planar Lévy processes. J. Th. Prob. 7, 799-811.
8. Greenwood, P., and Pitman, J. (1980). Fluctuation identities for Lévy processes and splitting at the maximum. Adv. Appl. Prob. 12, 893-902.
9. Kesten, H. (1969). Hitting probabilities of single points for processes with stationary independent increments. Mem. Amer. Math. Soc. Vol. 93.
10. Lebedev, N. (1972). Special Functions and their Applications. Dover.
11. Molchanov, S. A., and Ostrovskii, E. (1969). Symmetric stable processes as traces of degenerate diffusion processes. Th. Prob. Appl. XIV-1, 128-131.
12. Pecherskii, E. A., and Rogozin, B. A. (1969). On joint distributions of random variables associated with fluctuations of a process with independent increments. Th. Prob. Appl. 14, 410-423.