@article{AIHPB_2006__42_1_89_0, author = {Friz, P. and Lyons, T. and Stroock, D.}, title = {L\'evy's area under conditioning}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {89--101}, publisher = {Elsevier}, volume = {42}, number = {1}, year = {2006}, doi = {10.1016/j.anihpb.2005.02.003}, mrnumber = {2196973}, zbl = {1099.60054}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpb.2005.02.003/} }
TY - JOUR AU - Friz, P. AU - Lyons, T. AU - Stroock, D. TI - Lévy's area under conditioning JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2006 SP - 89 EP - 101 VL - 42 IS - 1 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpb.2005.02.003/ DO - 10.1016/j.anihpb.2005.02.003 LA - en ID - AIHPB_2006__42_1_89_0 ER -
%0 Journal Article %A Friz, P. %A Lyons, T. %A Stroock, D. %T Lévy's area under conditioning %J Annales de l'I.H.P. Probabilités et statistiques %D 2006 %P 89-101 %V 42 %N 1 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpb.2005.02.003/ %R 10.1016/j.anihpb.2005.02.003 %G en %F AIHPB_2006__42_1_89_0
Friz, P.; Lyons, T.; Stroock, D. Lévy's area under conditioning. Annales de l'I.H.P. Probabilités et statistiques, Tome 42 (2006) no. 1, pp. 89-101. doi : 10.1016/j.anihpb.2005.02.003. http://www.numdam.org/articles/10.1016/j.anihpb.2005.02.003/
[1] Normes hölderiennes et support des diffusions, C. R. Acad. Sci. Paris Sér. I Math. 16 (3) (1993) 283-286. | MR | Zbl
, ,[2] Hölder norms and the support theorem for diffusions, Ann. Inst. H. Poincaré Probab. Statist. 30 (3) (1994) 415-436. | EuDML | Numdam | MR | Zbl
, , ,[3] P. Friz, Continuity of the Itô-map for Hölder rough path with applications to the support theorem in Hölder norm, Preprint, 2003, in press. | MR | Zbl
[4] P. Friz, N. Victoir, Approximations of the Brownian rough path with applications to stochastic analysis, Preprint, 2003, in press.
[5] Large deviations and support theorem for diffusion processes via rough paths, Stochastic Process. Appl. 102 (2) (2002) 265-283. | MR | Zbl
, , ,[6] Introduction to rough paths, in: Séminaire de probabilités, vol. XXXVII, Lecture Notes in Math., vol. 1583, 2003, pp. 36-48. | MR | Zbl
,[7] A. Lejay, N. Victoir, On -rough paths, Preprint, 2004. | MR | Zbl
[8] Differential equations driven by rough signals, Math. Res. Lett. 1 (1994) 451-464. | MR | Zbl
,[9] Differential equations driven by rough signals, Rev. Mat. Iberoamericana 14 (2) (1998) 215-310. | EuDML | MR | Zbl
,[10] System Control and Rough Paths, Oxford University Press, 2002. | MR | Zbl
, ,[11] A simple proof of the support theorem for diffusion processes, in: Séminaire de probabilités, vol. XXVIII, Lecture Notes in Math., vol. 1583, Springer, Berlin, 1994, pp. 36-48. | Numdam | MR | Zbl
, ,[12] E. Sipilainen, A pathwise view of solutions of stochastic differential equations, Ph.D. Thesis, University of Edinburgh, 1993.
[13] Markov Processes from K. Itô's Perspective, Princeton University Press, 2003. | MR | Zbl
,[14] Diffusions as integral curves, or Stratonovich without Itô, in: The Dynkin Festschrift, Progr. Probab., vol. 34, 1994, pp. 333-369. | MR | Zbl
, ,[15] On the support of diffusion processes with applications to the strong maximum principle, in: Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, vol. III: Probability Theory, 1970, pp. 333-359. | MR | Zbl
, ,[16] On degenerate elliptic-parabolic operators of second order and their associated diffusions, Comm. Pure Appl. Math. XXII (1972) 651-714. | MR | Zbl
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