-
1
-
-
0035537291
-
Stochastic calculus with respect to Gaussian processes
-
E. Alòs, O. Mazet, and D. Nualart, Stochastic calculus with respect to Gaussian processes, Ann. Probab., 29 (2001), pp. 766-801.
-
(2001)
Ann. Probab.
, vol.29
, pp. 766-801
-
-
Alòs, E.1
Mazet, O.2
Nualart, D.3
-
2
-
-
33746302229
-
The stochastic wave equation driven by fractional Brownian noise and temporally correlated smooth noise
-
P. Caithamer, The stochastic wave equation driven by fractional Brownian noise and temporally correlated smooth noise, Stoch. Dyn., 5 (2005), pp. 45-64.
-
(2005)
Stoch. Dyn.
, vol.5
, pp. 45-64
-
-
Caithamer, P.1
-
3
-
-
0000609688
-
Transformations of Wiener integrals under translations
-
R. H. Cameron and W. T. Martin, Transformations of Wiener integrals under translations, Ann. of Math. (2), 2 (1944), pp. 386-396.
-
(1944)
Ann. of Math.
, vol.2
, Issue.2
, pp. 386-396
-
-
Cameron, R.H.1
Martin, W.T.2
-
4
-
-
0003298203
-
Stochastic equations in infinite dimensions
-
Cambridge University Press, Cambridge, UK
-
G. Da Prato and J. Zabczyk, Stochastic Equations in Infinite Dimensions, Encyclopedia Math. Appl. 44, Cambridge University Press, Cambridge, UK, 1992.
-
(1992)
Encyclopedia Math. Appl.
, vol.44
-
-
Da Prato, G.1
Zabczyk, J.2
-
5
-
-
0003250411
-
Ergodicity for infinite-dimensional systems
-
Cambridge University Press, Cambridge, UK
-
G. Da Prato and J. Zabczyk, Ergodicity for Infinite-Dimensional Systems, London Math. Soc. Lecture Note Ser. 229, Cambridge University Press, Cambridge, UK, 1996.
-
(1996)
London Math. Soc. Lecture Note Ser.
, vol.229
-
-
Da Prato, G.1
Zabczyk, J.2
-
6
-
-
0042637937
-
Stochastic analysis of the fractional Brownian motion
-
L. Decreusefond and A. S. Üstünel, Stochastic analysis of the fractional Brownian motion, Potential Anal., 10 (1999), pp. 177-214.
-
(1999)
Potential Anal.
, vol.10
, pp. 177-214
-
-
Decreusefond, L.1
Üstünel, A.S.2
-
7
-
-
70449452175
-
Existence and uniqueness for solutions of one dimensional SDE's driven by an additive fractional noise
-
L. Denis, M. Erraoui, and Y. Ouknine, Existence and uniqueness for solutions of one dimensional SDE's driven by an additive fractional noise, Stoch. Stoch. Rep., 76 (2004), pp. 409-427.
-
(2004)
Stoch. Stoch. Rep.
, vol.76
, pp. 409-427
-
-
Denis, L.1
Erraoui, M.2
Ouknine, Y.3
-
8
-
-
39649101941
-
Some stochastic semilinear equations in Hilbert space with fractional Brownian motion
-
J. Menaldi, E. Rofman, and A Sulem, eds., IOS Press, Amsterdam
-
T. E. Duncan, Some stochastic semilinear equations in Hilbert space with fractional Brownian motion, in Optimal Control and Partial Differential Equations, J. Menaldi, E. Rofman, and A Sulem, eds., IOS Press, Amsterdam, 2000, pp. 241-247.
-
(2000)
Optimal Control and Partial Differential Equations
, pp. 241-247
-
-
Duncan, T.E.1
-
9
-
-
34547557426
-
Some processes associated with a fractional Brownian motion
-
AMS, Providence, RI
-
T. E. Duncan, Some processes associated with a fractional Brownian motion, in Mathematics of Finance, Contemp. Math. 351, AMS, Providence, RI, 2004, pp. 93-101.
-
(2004)
Mathematics of Finance, Contemp. Math.
, vol.351
, pp. 93-101
-
-
Duncan, T.E.1
-
10
-
-
0033878593
-
Stochastic calculus for fractional Brownian motion I. Theory
-
T. E. Duncan, Y. Hu, and B. Pasik-Duncan, Stochastic calculus for fractional Brownian motion I. Theory, SIAM J. Control Optim., 38 (2000), pp. 582-612.
-
(2000)
SIAM J. Control Optim.
, vol.38
, pp. 582-612
-
-
Duncan, T.E.1
Hu, Y.2
Pasik-Duncan, B.3
-
11
-
-
33746283060
-
Stochastic integration for fractional Brownian motion in a Hilbert space
-
T. E. Duncan, J. Jakubowski, and B. Pasik-Duncan, Stochastic integration for fractional Brownian motion in a Hilbert space, Stoch. Dyn., 6 (2006), pp. 53-75.
-
(2006)
Stoch. Dyn.
, vol.6
, pp. 53-75
-
-
Duncan, T.E.1
Jakubowski, J.2
Pasik-Duncan, B.3
-
12
-
-
21244441192
-
Stochastic equations in Hilbert space with a multiplicative fractional Gaussian noise
-
T. E. Duncan, B. Maslowski, and B. Pasik-Duncan, Stochastic equations in Hilbert space with a multiplicative fractional Gaussian noise, Stochastic Process. Appl., 115 (2005), pp. 1357-1383.
-
(2005)
Stochastic Process. Appl.
, vol.115
, pp. 1357-1383
-
-
Duncan, T.E.1
Maslowski, B.2
Pasik-Duncan, B.3
-
13
-
-
0043071630
-
Fractional Brownian motion and stochastic equations in Hilbert spaces
-
T. E. Duncan, B. Pasik-Duncan, and B. Maslowski, Fractional Brownian motion and stochastic equations in Hilbert spaces, Stoch. Dyn., 2 (2002), pp. 225-250.
-
(2002)
Stoch. Dyn.
, vol.2
, pp. 225-250
-
-
Duncan, T.E.1
Pasik-Duncan, B.2
Maslowski, B.3
-
14
-
-
0039690133
-
On transforming a class of stochastic processes by absolutely continuous substitution of measures
-
I. V. Girsanov, On transforming a class of stochastic processes by absolutely continuous substitution of measures, Teor. Verojatnost. I Primenen., 5 (1960), pp. 314-330.
-
(1960)
Teor. Verojatnost. I Primenen.
, vol.5
, pp. 314-330
-
-
Girsanov, I.V.1
-
15
-
-
0033556963
-
A parabolic stochastic differential equation with fractional Brownian motion input
-
W. Grecksch and V. V. Anh, A parabolic stochastic differential equation with fractional Brownian motion input, Statist. Probab. Lett., 41 (1999), pp. 337-346.
-
(1999)
Statist. Probab. Lett.
, vol.41
, pp. 337-346
-
-
Grecksch, W.1
Anh, V.V.2
-
16
-
-
0001059286
-
Heat equations with fractional white noise potentials
-
Y. Hu, Heat equations with fractional white noise potentials, Appl. Math. Optim., 43 (2001), pp. 221-243.
-
(2001)
Appl. Math. Optim.
, vol.43
, pp. 221-243
-
-
Hu, Y.1
-
17
-
-
18144416186
-
Integral transformations and anticipative calculus for fractional Brownian motions
-
Y. Hu, 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
-
18
-
-
1642380843
-
General fractional multiparameter white noise theory and stochastic partial differential equations
-
Y. Hu, B. Øksendal, and T. Zhang, General fractional multiparameter white noise theory and stochastic partial differential equations, Comm. Partial Differential Equations, 29 (2004), pp. 1-23.
-
(2004)
Comm. Partial Differential Equations
, vol.29
, pp. 1-23
-
-
Hu, Y.1
Øksendal, B.2
Zhang, T.3
-
19
-
-
0003242243
-
Brownian motion and stochastic calculus
-
Springer-Verlag, New York
-
I. Karatzas and S. E. Shreve, Brownian Motion and Stochastic Calculus, Grad. Texts in Math. 113, Springer-Verlag, New York, 1988.
-
(1988)
Grad. Texts in Math.
, vol.113
-
-
Karatzas, I.1
Shreve, S.E.2
-
21
-
-
0042229456
-
Evolution equations driven by a fractional Brownian motion
-
B. Maslowski and D. Nualart, Evolution equations driven by a fractional Brownian motion, J. Funct. Anal., 202 (2003), pp. 277-305.
-
(2003)
J. Funct. Anal.
, vol.202
, pp. 277-305
-
-
Maslowski, B.1
Nualart, D.2
-
22
-
-
8344251617
-
Random dynamical systems and stationary solutions of differential equations driven by the fractional Brownian motion
-
B. Maslowski and B. Schmalfuss, Random dynamical systems and stationary solutions of differential equations driven by the fractional Brownian motion, Stochastic Anal. Appl., 22 (2004), pp. 1577-1607.
-
(2004)
Stochastic Anal. Appl.
, vol.22
, pp. 1577-1607
-
-
Maslowski, B.1
Schmalfuss, B.2
-
23
-
-
84968494889
-
A global existence theorem for autonomous differential equations in a Banach space
-
R. H. Martin, Jr., A global existence theorem for autonomous differential equations in a Banach space, Proc. Amer. Math. Soc., 26 (1970), pp. 307-314.
-
(1970)
Proc. Amer. Math. Soc.
, vol.26
, pp. 307-314
-
-
Martin, R.H.1
-
24
-
-
0039756056
-
Martingale paths for stochastic PDE's
-
AMS, Providence, RI
-
R. Mikulevicius and B. L. Rozovsky, Martingale paths for stochastic PDE's, in Stochastic Partial Differential Equations: Six Perspectives, Math. Survey Monogr. 64, AMS, Providence, RI, 1999, pp. 243-325.
-
(1999)
Stochastic Partial Differential Equations: Six Perspectives, Math. Survey Monogr.
, vol.64
, pp. 243-325
-
-
Mikulevicius, R.1
Rozovsky, B.L.2
-
25
-
-
0035981345
-
Onsager-Machlup functional for the fractional Brownian motion
-
S. Moret and D. Nualart, Onsager-Machlup functional for the fractional Brownian motion, Probab. Theory Related Fields, 124 (2002), pp. 227-260.
-
(2002)
Probab. Theory Related Fields
, vol.124
, pp. 227-260
-
-
Moret, S.1
Nualart, D.2
-
26
-
-
0001714525
-
An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions
-
I. Norros, E. Valkeila, and J. Virtamo, An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions, Bernoulli, 5 (1999), pp. 571-587.
-
(1999)
Bernoulli
, vol.5
, pp. 571-587
-
-
Norros, I.1
Valkeila, E.2
Virtamo, J.3
-
27
-
-
0036830384
-
Regularization of differential equations by fractional noises
-
D. Nualart and Y. Ouknine, Regularization of differential equations by fractional noises, Stoch. Process. Appl., 102, (2002) pp. 103-116.
-
(2002)
Stoch. Process. Appl.
, vol.102
, pp. 103-116
-
-
Nualart, D.1
Ouknine, Y.2
-
28
-
-
84903984447
-
Linear stochastic equations in a Hilbert space with a fractional Brownian motion
-
H. Yan, G. Yin, and Q. Zhang, eds., Springer-Verlag, New York
-
B. Pasik-Duncan, T. E. Duncan, and B. Maslowski, Linear stochastic equations in a Hilbert space with a fractional Brownian motion, in Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems, H. Yan, G. Yin, and Q. Zhang, eds., Springer-Verlag, New York, 2006, pp. 201-221.
-
(2006)
Stochastic Processes, Optimization, and Control Theory: Applications in Financial Engineering, Queueing Networks, and Manufacturing Systems
, pp. 201-221
-
-
Pasik-Duncan, B.1
Duncan, T.E.2
Maslowski, B.3
-
29
-
-
0003316678
-
Semigroups of linear operators and applications to partial differential equations
-
Springer-Verlag, New York
-
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Appl. Math. Sci. 44, Springer-Verlag, New York, 1983.
-
(1983)
Appl. Math. Sci.
, vol.44
-
-
Pazy, A.1
-
30
-
-
0034562433
-
Integration questions related to fractional Brownian motion
-
V. Pipiras and M. S. Taqqu, Integration questions related to fractional Brownian motion, Probab. Theory Related Fields, 118 (2000), pp. 251-291.
-
(2000)
Probab. Theory Related Fields
, vol.118
, pp. 251-291
-
-
Pipiras, V.1
Taqqu, M.S.2
-
31
-
-
0003598080
-
-
Gordon and Breach, Yverdon
-
S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integrals and Derivatives, Gordon and Breach, Yverdon, 1993.
-
(1993)
Fractional Integrals and Derivatives
-
-
Samko, S.G.1
Kilbas, A.A.2
Marichev, O.I.3
-
32
-
-
0041112426
-
Accretive differential operators
-
E. Sinestrari, Accretive differential operators, Boll. Un. Mat. Ital. B (5), 13 (1976), pp. 19-31.
-
(1976)
Boll. Un. Mat. Ital. B
, vol.13
, Issue.5
, pp. 19-31
-
-
Sinestrari, E.1
-
33
-
-
0242339531
-
Stochastic evolution equations with fractional Brownian motion
-
S. Tindel, C. A. Tudor, and F. Viens, Stochastic evolution equations with fractional Brownian motion, Probab. Theory Related Fields, 127 (2003), pp. 186-204.
-
(2003)
Probab. Theory Related Fields
, vol.127
, pp. 186-204
-
-
Tindel, S.1
Tudor, C.A.2
Viens, F.3
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