@article{AIHPC_2007__24_5_835_0, author = {Lyons, Terry and Victoir, Nicolas}, title = {An extension theorem to rough paths}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {24}, year = {2007}, pages = {835-847}, doi = {10.1016/j.anihpc.2006.07.004}, mrnumber = {2348055}, zbl = {1134.60047}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_2007__24_5_835_0} }
Lyons, Terry; Victoir, Nicolas. An extension theorem to rough paths. Annales de l'I.H.P. Analyse non linéaire, Tome 24 (2007) pp. 835-847. doi : 10.1016/j.anihpc.2006.07.004. http://gdmltest.u-ga.fr/item/AIHPC_2007__24_5_835_0/
[1] Extending the Wong-Zakai theorem to reversible Markov processes, J. Eur. Math. Soc. 4 (2002) 237-269. | Zbl 1010.60070
, , ,[2] The Lévy area process for the free Brownian motion, J. Funct. Anal. 179 (1) (2001) 153-169. | MR 1807256 | Zbl 0979.60044
, ,[3] Stochastic analysis, rough path analysis and fractional Brownian motions, Probab. Theory Related Fields 122 (1) (2002) 108-140. | MR 1883719 | Zbl 1047.60029
, ,[4] Liens entre équations différentielles stochastiques et ordinaires, Ann. Inst. H. Poincaré 13 (1977) 99-125. | Numdam | MR 451404 | Zbl 0359.60087
,[5] Hardy spaces on homogeneous groups, Math. Notes 28 (1982). | MR 657581 | Zbl 0508.42025
, ,[6] P. Friz, N. Victoir, On the notion of geometric rough paths, preprint, 2004.
[7] Carnot-Caratheodory spaces seen from within, in: , (Eds.), Sub-Riemannian Geometry, Progress in Mathematics, vol. 144, Birkhäuser, 1996, pp. 79-323. | Zbl 0864.53025
,[8] Stochastic area for Brownian motion on the Sierpinski gasket, Ann. Probab. 26 (1) (1998) 132-148. | MR 1617044 | Zbl 0936.60073
, ,[9] Brownian Motion and Stochastic Calculus, Graduate Texts in Mathematics, vol. 113, second ed., Springer-Verlag, New York, 1991. | MR 1121940 | Zbl 0734.60060
, ,[10] Lévy area of Wiener processes in Banach spaces, Ann. Probab. 30 (2) (2002) 546-578. | MR 1905851 | Zbl 1016.60071
, , ,[11] Introduction to Rough Paths, Séminaire de probabilités, Lecture Notes in Mathematics, vol. XXXVII, 2003. | MR 2053040 | Zbl 1041.60051
,[12] Differential equations driven by rough signals, Rev. Mat. Iberoamericana 14 (2) (1998) 215-310. | MR 1654527 | Zbl 0923.34056
,[13] System Control and Rough Paths, Oxford University Press, 2002. | MR 2036784 | Zbl 1029.93001
, ,[14] Free Lie Algebras, London Mathematical Society Monographs (N.S.), vol. 7, Oxford Science Publications, 1993. | MR 1231799 | Zbl 0798.17001
,[15] Lie Algebras and Lie Groups, Lecture Notes in Mathematics, vol. 1500, 1992. | MR 1176100 | Zbl 0742.17008
,[16] On the gap between deterministic and stochastic ordinary differential equations, Ann. Probab. 6 (1978) 19-41. | MR 461664 | Zbl 0391.60056
,[17] Lie Groups, Lie Algebras, and their Representations, Graduate Texts in Mathematics, vol. 102, 1984. | MR 746308 | Zbl 0955.22500
,[18] N.B. Victoir, Levy area for the free Brownian motion: existence and non-existence, J. Funct. Anal., in press. | Zbl 1062.46055