-
1
-
-
0000338690
-
Stochastic calculus with respect to fractional Brownian motion with Hurst parameter lesser than 1/2
-
Alòs, E., Mazet, O., Nualart, D., Stochastic calculus with respect to fractional Brownian motion with Hurst parameter lesser than 1/2. Stoch. Proc. Appl. 86 (1999), 121-139.
-
(1999)
Stoch. Proc. Appl.
, vol.86
, pp. 121-139
-
-
Alòs, E.1
Mazet, O.2
Nualart, D.3
-
2
-
-
0035537291
-
Stochastic calculus with respect to Gaussian processes
-
Alòs, E., Mazet, O., Nualart, D., Stochastic calculus with respect to Gaussian processes. Ann. Probab. 29 (2001), 766-801.
-
(2001)
Ann. Probab.
, vol.29
, pp. 766-801
-
-
Alòs, E.1
Mazet, O.2
Nualart, D.3
-
3
-
-
0346718762
-
Stochastic integration with respect to the fractional Brownian motion
-
Alòs, E., Nualart, D., Stochastic integration with respect to the fractional Brownian motion. Stoch. Stoch. Rep. 75 (2003), 129-152.
-
(2003)
Stoch. Stoch. Rep.
, vol.75
, pp. 129-152
-
-
Alòs, E.1
Nualart, D.2
-
4
-
-
0002807832
-
Local nondeterminism and local times of Gaussian processes
-
Berman, S., Local nondeterminism and local times of Gaussian processes. Indiana Univ. Math. J. 23 (1973), 69-94.
-
(1973)
Indiana Univ. Math. J.
, vol.23
, pp. 69-94
-
-
Berman, S.1
-
7
-
-
0037270163
-
Stochastic integration with respect to fractional Brownian motion
-
Carmona, P., Coutin, L., Stochastic integration with respect to fractional Brownian motion. Ann. Inst. Henri Poincaré 39 (2003), 27-68.
-
(2003)
Ann. Inst. Henri Poincaré
, vol.39
, pp. 27-68
-
-
Carmona, P.1
Coutin, L.2
-
8
-
-
0042676237
-
Mixed fractional Brownian motion
-
Cheridito, P., Mixed fractional Brownian motion. Bernoulli 7 (2001), 913-934.
-
(2001)
Bernoulli
, vol.7
, pp. 913-934
-
-
Cheridito, P.1
-
10
-
-
0013093539
-
Vorticity and turbulence
-
Springer-Verlag, New York
-
Chorin, A., Vorticity and Turbulence. Appl. Math. Sci. 103, Springer-Verlag, New York 1994.
-
(1994)
Appl. Math. Sci.
, vol.103
-
-
Chorin, A.1
-
11
-
-
0032356952
-
Long memory in continuous-time stochastic volatility models
-
Comte, F., Renault, E., Long memory in continuous-time stochastic volatility models. Math. Finance 8 (1998), 291-323
-
(1998)
Math. Finance
, vol.8
, pp. 291-323
-
-
Comte, F.1
Renault, E.2
-
12
-
-
0036002985
-
Stochastic analysis, rough paths analysis and fractional Brownian motions
-
Coutin, L., Qian, Z., Stochastic analysis, rough paths analysis and fractional Brownian motions. Probab. Theory Related Fields 122 (2002), 108-140.
-
(2002)
Probab. Theory Related Fields
, vol.122
, pp. 108-140
-
-
Coutin, L.1
Qian, Z.2
-
13
-
-
53349108011
-
Itô's formula with respect to fractional Brownian motion and its application
-
Dai, W., Heyde, C. C., Itô's formula with respect to fractional Brownian motion and its application. J. Appl. Math. Stochastic Anal. 9 (1996), 439-448.
-
(1996)
J. Appl. Math. Stochastic Anal.
, vol.9
, pp. 439-448
-
-
Dai, W.1
Heyde, C.C.2
-
14
-
-
0042637937
-
Stochastic analysis of the fractional Brownian motion
-
Decreusefond, L., Üstünel, A. S., Stochastic analysis of the fractional Brownian motion. Potential Anal. 10 (1998), 177-214.
-
(1998)
Potential Anal.
, vol.10
, pp. 177-214
-
-
Decreusefond, L.1
Üstünel, A.S.2
-
15
-
-
0033878593
-
Stochastic calculus for fractional Brownian motion I. Theory
-
Duncan, T. E., Hu, Y., Pasik-Duncan, B., Stochastic calculus for fractional Brownian motion I. Theory. SIAM J. Control Optim. 38 (2000), 582-612.
-
(2000)
SIAM J. Control Optim.
, vol.38
, pp. 582-612
-
-
Duncan, T.E.1
Hu, Y.2
Pasik-Duncan, B.3
-
16
-
-
0141936531
-
A general fractional white noise theory and applications to finance
-
Elliott, R. J., van der Hoek, J., A general fractional white noise theory and applications to finance. Math. Finance 13 (2003), 301-330.
-
(2003)
Math. Finance
, vol.13
, pp. 301-330
-
-
Elliott, R.J.1
Van Der Hoek, J.2
-
17
-
-
0036183790
-
On a probabilistic description of small scale structures in 3D fluids
-
Flandoli, F., On a probabilistic description of small scale structures in 3D fluids. Ann. Inst. Henri Poincaré 38 (2002), 207-228.
-
(2002)
Ann. Inst. Henri Poincaré
, vol.38
, pp. 207-228
-
-
Flandoli, F.1
-
19
-
-
0014886852
-
A real variable lemma and the continuity of paths of some Gaussian processes
-
Garsia, A. M., Rodemich, E., Rumsey, H., Jr., A real variable lemma and the continuity of paths of some Gaussian processes. Indiana Univ. Math. J. 20 (1970/1971), 565-578.
-
(1970)
Indiana Univ. Math. J.
, vol.20
, pp. 565-578
-
-
Garsia, A.M.1
Rodemich, E.2
Rumsey Jr., H.3
-
20
-
-
10244243741
-
The 1/H-variation of the divergence integral with respect to the fractional Brownian motion for H >1/2 and fractional Bessel processes
-
Guerra, J., Nualart, D., The 1/H-variation of the divergence integral with respect to the fractional Brownian motion for H >1/2 and fractional Bessel processes. Stoch. Process. Appl. 115 (2005), 91-115.
-
(2005)
Stoch. Process. Appl.
, vol.115
, pp. 91-115
-
-
Guerra, J.1
Nualart, D.2
-
21
-
-
18144416186
-
Integral transformations and anticipative calculus for fractional Brownian motions
-
Hu, Y., Integral transformations and anticipative calculus for fractional Brownian motions. Mem. Amer. Math. Soc. 175 (2005).
-
(2005)
Mem. Amer. Math. Soc.
, vol.175
-
-
Hu, Y.1
-
23
-
-
84977709229
-
The pricing of options on assets with stochastic volatilities
-
Hull, J., White, A., The pricing of options on assets with stochastic volatilities. J. Finance 3 (1987), 281-300.
-
(1987)
J. Finance
, vol.3
, pp. 281-300
-
-
Hull, J.1
White, A.2
-
24
-
-
0000322726
-
Long-term storage capacity in reservoirs
-
Hurst, H., E. Long-term storage capacity in reservoirs. Trans. Amer. Soc. Civil Eng. 116 (1951), 400-410.
-
(1951)
Trans. Amer. Soc. Civil Eng.
, vol.116
, pp. 400-410
-
-
Hurst, H.E.1
-
25
-
-
0001187166
-
Wienersche Spiralen und einige andere interessante Kurven im Hilbertschen Raum
-
Kolmogorov, A. N., Wienersche Spiralen und einige andere interessante Kurven im Hilbertschen Raum. C. R. (Doklady) Acad. URSS (N.S.) 26 (1940), 115-118.
-
(1940)
C. R. (Doklady) Acad. URSS (N.S.)
, vol.26
, pp. 115-118
-
-
Kolmogorov, A.N.1
-
26
-
-
0000746261
-
Stochastic analysis of fractional Brownian motions
-
Lin, S. J., Stochastic analysis of fractional Brownian motions. Stoch. Stoch. Rep. 55 (1995), 121-140.
-
(1995)
Stoch. Stoch. Rep.
, vol.55
, pp. 121-140
-
-
Lin, S.J.1
-
27
-
-
0032347402
-
Differential equations driven by rough signals
-
Lyons, T., Differential equations driven by rough signals. Rev. Mat. Iberoamericana 14 (1998), 215-310.
-
(1998)
Rev. Mat. Iberoamericana
, vol.14
, pp. 215-310
-
-
Lyons, T.1
-
28
-
-
31444447555
-
System control and rough paths
-
Oxford University Press, Oxford
-
Lyons, T., Qian, Z., System control and rough paths. Oxford Math. Monogr., Oxford University Press, Oxford 2002.
-
(2002)
Oxford Math. Monogr.
-
-
Lyons, T.1
Qian, Z.2
-
29
-
-
0002684408
-
Stochastic calculus of variations and hypoelliptic operators
-
(Kyoto), Wiley, New York, Chichester, Brisbane
-
Malliavin, P., Stochastic calculus of variations and hypoelliptic operators. In Proceedings of the International Symposium on Stochastic Differential Equations (Kyoto, 1976), Wiley, New York, Chichester, Brisbane 1978, 195-263.
-
(1976)
Proceedings of the International Symposium on Stochastic Differential Equations
, pp. 195-263
-
-
Malliavin, P.1
-
30
-
-
0000501589
-
Fractional Brownian motions, fractional noises and applications
-
Mandelbrot, B. B., Van Ness, J. W., Fractional Brownian motions, fractional noises and applications. SIAM Review 10 (1968), 422-437.
-
(1968)
SIAM Review
, vol.10
, pp. 422-437
-
-
Mandelbrot, B.B.1
Van Ness, J.W.2
-
31
-
-
18044400859
-
Inequalities for the moments ofWiener integrals with respecto to fractional Brownian motions
-
Memin, J., Mishura, Y., Valkeila, E., Inequalities for the moments ofWiener integrals with respecto to fractional Brownian motions. Statist. Prob. Letters 55 (2001), 421-430.
-
(2001)
Statist. Prob. Letters
, vol.55
, pp. 421-430
-
-
Memin, J.1
Mishura, Y.2
Valkeila, E.3
-
32
-
-
0004035123
-
The Malliavin calculus and related topics
-
2nd edition, Springer Verlag, New York
-
Nualart, D., The Malliavin calculus and related topics. 2nd edition, Probab.Appl., Springer Verlag, New York 2005.
-
(2005)
Probab.Appl.
-
-
Nualart, D.1
-
33
-
-
13344283509
-
Stochastic integration with respect to fractional Brownian motion and applications
-
Nualart, D., Stochastic integration with respect to fractional Brownian motion and applications. Contemp. Math. 336 (2003), 3-39.
-
(2003)
Contemp. Math.
, vol.336
, pp. 3-39
-
-
Nualart, D.1
-
34
-
-
0001626619
-
Stochastic calculus with anticipating integrands
-
Nualart, D., Pardoux, E., Stochastic calculus with anticipating integrands. Probab. Theory Related Fields 78 (1988), 535-581.
-
(1988)
Probab. Theory Related Fields
, vol.78
, pp. 535-581
-
-
Nualart, D.1
Pardoux, E.2
-
35
-
-
0346962340
-
Probabilistic models for vortex filaments based on fractional Brownian motion
-
Nualart, D., Rovira, C., Tindel, S., Probabilistic models for vortex filaments based on fractional Brownian motion. Ann. Probab. 31 (2003), 1862-1899.
-
(2003)
Ann. Probab.
, vol.31
, pp. 1862-1899
-
-
Nualart, D.1
Rovira, C.2
Tindel, S.3
-
38
-
-
0034562433
-
Integration questions related to fractional Brownian motion
-
Pipiras, V., Taqqu, M. S., Integration questions related to fractional Brownian motion. Probab. Theory Related Fields 118 (2000), 121-291.
-
(2000)
Probab. Theory Related Fields
, vol.118
, pp. 121-291
-
-
Pipiras, V.1
Taqqu, M.S.2
-
39
-
-
33750073208
-
Are classes of deterministic integrands for fractional Brownian motion on a interval complete?
-
Pipiras, V., Taqqu, M. S., Are classes of deterministic integrands for fractional Brownian motion on a interval complete? Bernoulli 7 (2001), 873-897.
-
(2001)
Bernoulli
, vol.7
, pp. 873-897
-
-
Pipiras, V.1
Taqqu, M.S.2
-
40
-
-
0031540977
-
Arbitrage with fractional Brownian motion
-
Rogers, L. C. G., Arbitrage with fractional Brownian motion. Math. Finance 7 (1997), 95-105.
-
(1997)
Math. Finance
, vol.7
, pp. 95-105
-
-
Rogers, L.C.G.1
-
41
-
-
0003745328
-
Essentials of stochastic finance: Facts, models and theory
-
World Scientific, Singapore
-
Shiryaev, A. N., Essentials of Stochastic Finance: Facts, Models and Theory. Adv. Ser. Stat. Sci. Appl. Probab. 3, World Scientific, Singapore 1999.
-
(1999)
Adv. Ser. Stat. Sci. Appl. Probab.
, vol.3
-
-
Shiryaev, A.N.1
-
42
-
-
0001764417
-
On a generalization of a stochastic integral
-
Skorohod, A. V., On a generalization of a stochastic integral. Theory Probab. Appl. 20 (1975), 219-233.
-
(1975)
Theory Probab. Appl.
, vol.20
, pp. 219-233
-
-
Skorohod, A.V.1
-
43
-
-
0000821514
-
An inequality of the Hölder type connected with Stieltjes integration
-
Young, L. C., An inequality of the Hölder type connected with Stieltjes integration. Acta Math. 67 (1936), 251-282
-
(1936)
Acta Math.
, vol.67
, pp. 251-282
-
-
Young, L.C.1
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