@article{AIHPB_2007__43_6_655_0, author = {Salminen, Paavo and Vallois, Pierre}, title = {On maximum increase and decrease of brownian motion}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {43}, year = {2007}, pages = {655-676}, doi = {10.1016/j.anihpb.2006.09.007}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPB_2007__43_6_655_0} }
Salminen, Paavo; Vallois, Pierre. On maximum increase and decrease of brownian motion. Annales de l'I.H.P. Probabilités et statistiques, Tome 43 (2007) pp. 655-676. doi : 10.1016/j.anihpb.2006.09.007. http://gdmltest.u-ga.fr/item/AIHPB_2007__43_6_655_0/
[1] Mathematical Functions, ninth printing, Dover Publications, New York, 1970.
, ,[2] Lévy Processes, Cambridge University Press, Cambridge, UK, 1996. | MR 1406564 | Zbl 0861.60003
,[3] Valeurs principales associées aux temps locaux browniens, Bull. Sci. Math., 2e série 111 (1987) 23-101. | MR 886959 | Zbl 0619.60072
, ,[4] Handbook of Brownian Motion - Facts and Formulae, second ed., Birkhäuser, Basel, 2002. | Zbl 1012.60003
, ,[5] First passage time distribution of a Wiener process with drift concerning two elastic barriers, J. Appl. Probab. 33 (1996) 164-175. | MR 1371964 | Zbl 0867.60023
,[6] On probability characteristics of “downfalls” in a standard Brownian motion, Theory Probab. Appl. 44 (1999) 29-38. | Zbl 0959.60073
, , ,[7] Brownian Motion and Stochastic Flow Systems, Wiley, New York, 1985. | MR 798279 | Zbl 0659.60112
,[8] On the maximum drawdown of a Brownian motion, J. Appl. Probab. 41 (2004) 147-161. | MR 2036278 | Zbl 1051.60083
, , , ,[9] Stochastic Integrals, Academic Press, New York, 1969. | MR 247684 | Zbl 0191.46603
,[10] Bessel processes and infinitely divisible laws, in: (Ed.), Stochastic Integrals, Springer Lecture Notes in Mathematics, vol. 851, Springer-Verlag, Berlin, 1981, pp. 285-370. | MR 620995 | Zbl 0469.60076
, ,[11] A decomposition of Bessel bridges, Z. Wahrsch. Verw. Gebiete 59 (1982) 425-457. | MR 656509 | Zbl 0484.60062
, ,[12] Growth of the Brownian forest, Ann. Probab. 33 (6) (2005) 2188-2211. | MR 2184095 | Zbl 1092.60033
, ,[13] Continuous Martingales and Brownian Motion, third ed., Springer-Verlag, Berlin, 2001. | Zbl 0804.60001
, ,[14] Range of Brownian motion with drift, J. Theor. Probab. 19 (1) (2006) 45-69. | MR 2256479 | Zbl 1101.60063
, ,