A family of integral representations for the brownian variables
Annales de l'I.H.P. Probabilités et statistiques (2003)
- Volume: 39, Issue: 6, page 1083-1096
- ISSN: 0246-0203
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topEisenbaum, Nathalie, and Hu, Yueyun. "A family of integral representations for the brownian variables." Annales de l'I.H.P. Probabilités et statistiques 39.6 (2003): 1083-1096. <http://eudml.org/doc/77789>.
@article{Eisenbaum2003,
author = {Eisenbaum, Nathalie, Hu, Yueyun},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Brownian motion; integral representation; flow; area integral},
language = {eng},
number = {6},
pages = {1083-1096},
publisher = {Elsevier},
title = {A family of integral representations for the brownian variables},
url = {http://eudml.org/doc/77789},
volume = {39},
year = {2003},
}
TY - JOUR
AU - Eisenbaum, Nathalie
AU - Hu, Yueyun
TI - A family of integral representations for the brownian variables
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2003
PB - Elsevier
VL - 39
IS - 6
SP - 1083
EP - 1096
LA - eng
KW - Brownian motion; integral representation; flow; area integral
UR - http://eudml.org/doc/77789
ER -
References
top- [1] R.F. Bass, K. Burdzy, Stochastic bifurcation models, Ann. Probab.27 (1999) 50-108. Zbl0943.60087MR1681142
- [2] N. Bouleau, Sur la variation quadratique de certaines mesures vectorielles, Z. Wahrsch. Verw. Gebiete61 (1982) 283-290. Zbl0492.60078MR675617
- [3] K. Burdzy, Z.Q. Chen, Local time flow related to skew Brownian motion, Ann. Probab.29 (2001) 1693-1715. Zbl1037.60057MR1880238
- [4] N. Eisenbaum, Integration with respect to local time, Potential Anal.13 (2000) 303-328. Zbl0964.60062MR1804175
- [5] Y. Hu, J. Warren, Ray–Knight theorems related to a stochastic flow, Stochastic Process. Appl.86 (2000) 287-305. Zbl1028.60075
- [6] Th. Jeulin, Ray–Knight's theorem on Brownian local times and Tanaka's formula, in: Sem. Stochastic Proc. 1983 (Gainesville, FA), Birkhäuser, Boston, 1984, pp. 131-142. Zbl0561.60077
- [7] I. Karatzas, J.P. Lehoczky, S.E. Shreve, G.L. Xu, Optimality conditions for utility maximization in an incomplete market, in: Analysis and Optimization of Systems (Antibes, 1990), Lecture Notes in Control and Inform. Sci., 144, Springer, Berlin, 1990, pp. 3-23. Zbl0704.90015MR1070722
- [8] P. McGill, Integral representation of martingales in the Brownian excursion filtration, in: Sém. Probab. XX 1984/85, Lecture Notes in Math., 1204, Springer, Berlin, 1986, pp. 465-502. Zbl0635.60057MR942039
- [9] D. Revuz, M. Yor, Continuous Martingales and Brownian Motion, Springer, New York, 1998. Zbl0731.60002
- [10] L.C.G. Rogers, Continuity of martingales in the Brownian excursion filtration, Probab. Theory Related Fields76 (1987) 291-298. Zbl0611.60075MR912655
- [11] L.C.G. Rogers, J.B. Walsh, A(t,Bt) is not a semimartingale, in: Seminar on Stochastic Processes (Vancouver, BC, 1990), Progr. Probab., 24, Birkhäuser, Boston, 1991, pp. 275-283. Zbl0721.60089MR1118450
- [12] L.C.G. Rogers, B. Walsh J, Local time and stochastic area integrals, Ann. Probab.19 (1991) 457-482. Zbl0729.60073MR1106270
- [13] L.C.G. Rogers, J.B. Walsh, The intrinsic local time sheet of Brownian motion, Probab. Theory Related Fields88 (1991) 363-379. Zbl0722.60079MR1100897
- [14] L.C.G. Rogers, J.B. Walsh, The exact 4/3-variation of a process arising from Brownian motion, Stochastics51 (3–4) (1994) 267-291. Zbl0851.60077
- [15] D.W. Stroock, S.R.S. Varadhan, Multidimensional Diffusion Processes, Springer-Verlag, New York, 1979. Zbl0426.60069MR532498
- [16] J.B. Walsh, Stochastic integration with respect to local time, in: Seminar Stoch. Processes, 1982 (Evanston, IL, 1982), Progr. Probab. Statist., 5, Birkhäuser, Boston, 1983, pp. 237-302. Zbl0524.60074MR733675
- [17] D. Williams, Conditional excursion theory, in: Séminaire de Probab. XIII, Lecture Notes in Math., 721, Springer, Berlin, 1979, pp. 490-494. Zbl0422.60058MR544819
- [18] M. Yor, Some Aspects of Brownian Motion. Part II: Some Recent Martingale Problems, Birkhäuser, Berlin, 1997. Zbl0880.60082MR1442263
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