@article{AIHPB_1997__33_2_167_0, author = {Bertoin, Jean and Doney, Ron A.}, title = {Spitzer's condition for random walks and L\'evy processes}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {33}, year = {1997}, pages = {167-178}, mrnumber = {1443955}, zbl = {0880.60078}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_1997__33_2_167_0} }
Bertoin, J.; Doney, R. A. Spitzer's condition for random walks and Lévy processes. Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) pp. 167-178. http://gdmltest.u-ga.fr/item/AIHPB_1997__33_2_167_0/
[1] Lévy Processes, Cambridge University Press, 1996. | MR 1406564 | Zbl 0861.60003
,[2] Some independence results related to the arc-sine law, J. Theoretic. Prob., Vol. 9, 1996, pp. 447-458. | MR 1385407 | Zbl 0876.60060
, and ,[3] Regular Variation, Cambridge University Press, Cambridge, 1987. | MR 898871 | Zbl 0617.26001
, , and ,[4] Spitzer's condition and ladder variables in random walk, Probab. Theory Relat. Fields, Vol. 101, 1995, pp. 577-580. | MR 1327226 | Zbl 0818.60060
,[5] An Introduction to Probability Theory and its Applications, Vol. 2, 2nd edn. Wiley, New York, 1971.
,[6] Sample functions of processes with stationary and independent increments. In: Advances in Probability, Vol. 3, 1974, pp. 241-296. | MR 400406 | Zbl 0309.60047
:[7] On the arc-sine laws for Lévy processes, J. Appl. Prob., Vol. 31, 1994, pp. 76-89. | MR 1260572 | Zbl 0802.60070
, and ,[8] A combinatorial lemma and its application to probability theory. Trans. Amer. Math. Soc., Vol. 82, 1956, pp. 323-339. | MR 79851 | Zbl 0071.13003
,[9] Principles of Random Walk, Van Nostrand, Princeton, 1964. | MR 171290 | Zbl 0119.34304
,[10] A local limit theorem for non-lattice multi-dimensional distribution functions, Ann. Math. Stat., Vol. 36, 1965, pp. 546-551. | MR 175166 | Zbl 0135.19204
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