-
2
-
-
0030560429
-
The law of the Euler scheme for stochastic di.erential equations. I. Convergence rate of the distribution function
-
V. BALLY AND D. TALAY, The law of the Euler scheme for stochastic di.erential equations. I. Convergence rate of the distribution function, Probab. Theory Related Fields, 104 (1996), pp. 43-60.
-
(1996)
Probab. Theory Related Fields
, vol.104
, pp. 43-60
-
-
Bally, V.1
Talay, D.2
-
3
-
-
0002308425
-
The law of the Euler scheme for stochastic di.erential equations. II. Convergence rate of the density
-
V. BALLY AND D. TALAY, The law of the Euler scheme for stochastic di.erential equations. II. Convergence rate of the density, Monte Carlo Methods Appl., 2 (1996), pp. 93-128.
-
(1996)
Monte Carlo Methods Appl.
, vol.2
, pp. 93-128
-
-
Bally, V.1
Talay, D.2
-
4
-
-
0000499854
-
Stein's method for di.usion approximations
-
A. D. BARBOUR, Stein's method for di.usion approximations, Probab. Theory Related Fields, 84 (1990), pp. 297-322.
-
(1990)
Probab. Theory Related Fields
, vol.84
, pp. 297-322
-
-
Barbour, A.D.1
-
5
-
-
0000473466
-
A central limit theorem for di.usions with periodic coe.cients
-
R. BHATTACHARYA, A central limit theorem for di.usions with periodic coe.cients, Ann. Probab., 13 (1985), pp. 385-396.
-
(1985)
Ann. Probab.
, vol.13
, pp. 385-396
-
-
Bhattacharya, R.1
-
6
-
-
44349124463
-
On classical limit theorems for di.usions
-
R. N. BHATTACHARYA, On classical limit theorems for di.usions, SankhyāSer. A, 44 (1982), pp. 47-71.
-
(1982)
SankhyāSer. A
, vol.44
, pp. 47-71
-
-
Bhattacharya, R.N.1
-
7
-
-
77951824442
-
Pathwise accuracy and ergodicity of metropolized integrators for SDEs
-
N. BOU-RABEE AND E. VANDEN-EIJNDEN, Pathwise accuracy and ergodicity of metropolized integrators for SDEs, Comm. Pure Appl. Math., 63 (2009), pp. 655-696.
-
(2009)
Comm. Pure Appl. Math.
, vol.63
, pp. 655-696
-
-
Bou-Rabee, N.1
Vanden-Eijnden, E.2
-
8
-
-
60449117774
-
Averaging principle for a class of stochastic reaction-di.usion equations
-
S. CERRAI AND M. FREIDLIN, Averaging principle for a class of stochastic reaction-di.usion equations, Probab. Theory Related Fields, 144 (2009), pp. 137-177.
-
(2009)
Probab. Theory Related Fields
, vol.144
, pp. 137-177
-
-
Cerrai, S.1
Freidlin, M.2
-
10
-
-
2142825143
-
Second order partial di.erential equations in hilbert spaces
-
Cambridge University Press, Cambridge, UK
-
G. DA PRATO AND J. ZABCZYK, Second Order Partial Di.erential Equations in Hilbert Spaces, London Math. Soc. Lecture Note Ser. 293, Cambridge University Press, Cambridge, UK, 2002.
-
(2002)
London Math. Soc. Lecture Note Ser.
, vol.293
-
-
Prato, G.D.A.1
Zabczyk, J.2
-
11
-
-
21344460828
-
Exponential and uniform ergodicity of Markov processes
-
D. DOWN, S. MEYN, AND R. L. TWEEDIE, Exponential and uniform ergodicity of Markov processes, Ann. Probab., 23 (1995), pp. 1671-1691.
-
(1995)
Ann. Probab.
, vol.23
, pp. 1671-1691
-
-
Down, D.1
Meyn, S.2
Tweedie, R.L.3
-
12
-
-
0035609437
-
A continuous time Kronecker's lemma and martingale convergence
-
R. J. ELLIOTT, A continuous time Kronecker's lemma and martingale convergence, Stochastic Anal. Appl., 19 (2001), pp. 433-437.
-
(2001)
Stochastic Anal. Appl.
, vol.19
, pp. 433-437
-
-
Elliott, R.J.1
-
14
-
-
0030127882
-
Approximation of Lyapunov exponents of nonlinear stochastic di.erential equations
-
A. GRORUD AND D. TALAY, Approximation of Lyapunov exponents of nonlinear stochastic di.erential equations, SIAM J. Appl. Math., 56 (1996), pp. 627-650.
-
(1996)
SIAM J. Appl. Math.
, vol.56
, pp. 627-650
-
-
Grorud, A.1
Talay, D.2
-
15
-
-
61849127765
-
Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations
-
M. HAIRER AND J. C. MATTINGLY, Spectral gaps in Wasserstein distances and the 2D stochastic Navier-Stokes equations, Ann. Probab., 36 (2008), pp. 2050-2091.
-
(2008)
Ann. Probab.
, vol.36
, pp. 2050-2091
-
-
Hairer, M.1
Mattingly, J.C.2
-
17
-
-
84855490613
-
Stochastic Stability of Di.erential Equations
-
Alphen aan den Rijn, The Netherlands
-
R. HASMINSKII, Stochastic Stability of Di.erential Equations, Sijtho. & Noordho., Alphen aan den Rijn, The Netherlands, 1980.
-
(1980)
Sijtho. & Noordho.
-
-
Hasminskii, R.1
-
18
-
-
46049116345
-
The analysis of linear partial di.erential operators. III. Pseudo-di.erential operators
-
Reprint of the 1994 edition, Springer, Berlin
-
L. HÖRMANDER, The analysis of linear partial di.erential operators. III. Pseudo-di.erential operators. Reprint of the 1994 edition, Classics in Mathematics, Springer, Berlin, 2007.
-
(2007)
Classics in Mathematics
-
-
Hörmander, L.1
-
19
-
-
0003568337
-
-
Springer-Verlag, Berlin
-
P. KLOEDEN AND E. PLATEN, Numerical Solution of Stochastic Di.erential Equations, Applications of Mathematics (New York) 23, Springer-Verlag, Berlin, 1992.
-
(1992)
Numerical Solution of Stochastic Di.erential Equations, Applications of Mathematics (New York)
, vol.23
-
-
Kloeden, P.1
Platen, E.2
-
20
-
-
53549083010
-
On mixing and convergence rates for a family of Markov processes approximating SDEs
-
S. KLOKOV AND A. VERETENNIKOV, On mixing and convergence rates for a family of Markov processes approximating SDEs, Random Oper. Stoch. Equ., 14 (2006), pp. 103-126.
-
(2006)
Random Oper. Stoch. Equ.
, vol.14
, pp. 103-126
-
-
Klokov, S.1
Veretennikov, A.2
-
21
-
-
0011970475
-
Lectures on elliptic and parabolic equations in Hölder spaces
-
AMS, Providence, RI
-
N. KRYLOV, Lectures on Elliptic and Parabolic Equations in Hölder Spaces, Grad. Stud. Math. 12, AMS, Providence, RI, 1996.
-
(1996)
Grad. Stud. Math.
, vol.12
-
-
Krylov, N.1
-
22
-
-
34247560632
-
An adaptive Euler-Maruyama scheme for SDEs: Convergence and stability
-
H. LAMBA, J. C. MATTINGLY, AND A. M. STUART, An adaptive Euler-Maruyama scheme for SDEs: Convergence and stability, IMA J. Numer. Anal., 27 (2007), pp. 479-506.
-
(2007)
IMA J. Numer. Anal.
, vol.27
, pp. 479-506
-
-
Lamba, H.1
Mattingly, J.C.2
Stuart, A.M.3
-
23
-
-
33747362335
-
Recursive computation of the invariant distribution of a di.usion
-
D. LAMBERTON AND G. PAGÈS, Recursive computation of the invariant distribution of a di.usion, Bernoulli, 8 (2002), pp. 367-405.
-
(2002)
Bernoulli
, vol.8
, pp. 367-405
-
-
Lamberton, D.1
Pagès, G.2
-
24
-
-
34548364901
-
Recursive computation of the invariant distribution of a di.usion: The case of a weakly mean reverting drift
-
D. LAMBERTON AND G. PAGÈS, Recursive computation of the invariant distribution of a di.usion: The case of a weakly mean reverting drift, Stoch. Dyn., 3 (2003), pp. 435-451.
-
(2003)
Stoch. Dyn.
, vol.3
, pp. 435-451
-
-
Lamberton, D.1
Pagès, G.2
-
25
-
-
52949116324
-
-
Ph. D. thesis, Université de Marne-la-Vallée, Marne-la-Vallée, France
-
V. LEMAIRE, Estimation récursive de la mesure invariante d'un processus de di.usion, Ph. D. thesis, Université de Marne-la- Vallée, Marne-la-Vallée, France, 2005.
-
(2005)
Estimation Récursive de la Mesure Invariante D'un Processus de di.usion
-
-
Lemaire, V.1
-
26
-
-
34548331728
-
An adaptive scheme for the approximation of dissipative systems
-
V. LEMAIRE, An adaptive scheme for the approximation of dissipative systems, Stochastic Process. Appl., 117 (2007), pp. 1491-1518.
-
(2007)
Stochastic Process. Appl.
, vol.117
, pp. 1491-1518
-
-
Lemaire, V.1
-
27
-
-
0036789329
-
Ergodicity for SDEs and approximations: Locally Lipschitz vector.elds and degenerate noise
-
J. C. MATTINGLY, A. M. STUART, AND D. J. HIGHAM, Ergodicity for SDEs and approximations: Locally Lipschitz vector.elds and degenerate noise, Stochastic Process. Appl., 101 (2002), pp. 185-232.
-
(2002)
Stochastic Process. Appl.
, vol.101
, pp. 185-232
-
-
Mattingly, J.C.1
Stuart, A.M.2
Higham, D.J.3
-
29
-
-
18144426862
-
-
Springer, Berlin, Heidelberg, New York
-
G. MILSTEIN AND M. TRETYAKOV, Stochastic Numerics for Mathematical Physics, Springer, Berlin, Heidelberg, New York, 2004.
-
(2004)
Stochastic Numerics for Mathematical Physics
-
-
Milstein, G.1
Tretyakov, M.2
-
30
-
-
34247576677
-
Computing ergodic limits for Langevin equations
-
G. MILSTEIN AND M. TRETYAKOV, Computing ergodic limits for Langevin equations, Phys. D, 229 (2007), pp. 81-95.
-
(2007)
Phys. D
, vol.229
, pp. 81-95
-
-
Milstein, G.1
Tretyakov, M.2
-
31
-
-
84996132922
-
Sur quelques algorithmes récursifs pour les probabilités numériques
-
G. PAGÈS, Sur quelques algorithmes récursifs pour les probabilités numériques, ESAIM Probab. Stat., 5 (2001), pp. 141-170.
-
(2001)
ESAIM Probab. Stat.
, vol.5
, pp. 141-170
-
-
Pagès, G.1
-
32
-
-
46049091160
-
Computation of the invariant measure for a Levy driven SDE: Rate of convergence
-
F. PANLOUP, Computation of the invariant measure for a Levy driven SDE: Rate of convergence, Stochastic Process Appl., 118 (2008), pp. 1351-1384.
-
(2008)
Stochastic Process Appl.
, vol.118
, pp. 1351-1384
-
-
Panloup, F.1
-
33
-
-
52949131397
-
Recursive computation of the invariant measure of a stochastic di.erential equation driven by a Levy process
-
F. PANLOUP, Recursive computation of the invariant measure of a stochastic di.erential equation driven by a Levy process, Ann. Appl. Probab., 18 (2008), pp. 379-426.
-
(2008)
Ann. Appl. Probab.
, vol.18
, pp. 379-426
-
-
Panloup, F.1
-
34
-
-
77954180690
-
Lecture notes
-
Stanford University, Stanford, CA
-
G. PAPANICOLAOU, Lecture notes, unpublished lecture notes, Stanford University, Stanford, CA, 1999.
-
(1999)
Unpublished Lecture Notes
-
-
Papanicolaou, G.1
-
35
-
-
0035565829
-
On the Poisson equation and di.usion approximation. I
-
E. PARDOUX AND A. Y. VERETENNIKOV, On the Poisson equation and di.usion approximation. I, Ann. Probab., 29 (2001), pp. 1061-1085.
-
(2001)
Ann. Probab.
, vol.29
, pp. 1061-1085
-
-
Pardoux, E.1
Veretennikov, A.Y.2
-
36
-
-
0038336352
-
On the Poisson equation and di.usion approximation. II
-
E. PARDOUX AND A. Y. VERETENNIKOV, On the Poisson equation and di.usion approximation. II, Ann. Probab., 31 (2003), pp. 1166-1192.
-
(2003)
Ann. Probab.
, vol.31
, pp. 1166-1192
-
-
Pardoux, E.1
Veretennikov, A.Y.2
-
37
-
-
18844379683
-
On the Poisson equation and di.usion approximation. III
-
E. PARDOUX AND A. Y. VERETENNIKOV, On the Poisson equation and di.usion approximation. III, Ann. Probab., 33 (2005), pp. 1111-1133.
-
(2005)
Ann. Probab.
, vol.33
, pp. 1111-1133
-
-
Pardoux, E.1
Veretennikov, A.Y.2
-
38
-
-
77954205385
-
Multiscale Methods: Averaging and Homogenization
-
Springer, New York
-
G. PAVLIOTIS AND A. STUART, Multiscale Methods: Averaging and Homogenization, Texts Appl. Math. 53, Springer, New York, 2008.
-
(2008)
Texts Appl. Math.
, vol.53
-
-
Pavliotis, G.1
Stuart, A.2
-
39
-
-
85132364916
-
Exponential convergence of Langevin distributions and their discrete approximations
-
G. ROBERTS AND R. TWEEDIE, Exponential convergence of Langevin distributions and their discrete approximations, Bernoulli, 2 (1996), pp. 341-363.
-
(1996)
Bernoulli
, vol.2
, pp. 341-363
-
-
Roberts, G.1
Tweedie, R.2
-
40
-
-
33746388444
-
Geometric convergence and central limit theorems for multidimensional Hastings and Metropolis algorithms
-
G. O. ROBERTS AND R. L. TWEEDIE, Geometric convergence and central limit theorems for multidimensional Hastings and Metropolis algorithms, Biometrika, 83 (1996), pp. 95-110.
-
(1996)
Biometrika
, vol.83
, pp. 95-110
-
-
Roberts, G.O.1
Tweedie, R.L.2
-
41
-
-
0000076283
-
A perturbation theory for ergodic Markov chains and application to numerical approximations
-
T. SHARDLOW AND A. M. STUART, A perturbation theory for ergodic Markov chains and application to numerical approximations, SIAM J. Numer. Anal., 37 (2000), pp. 1120-1137.
-
(2000)
SIAM J. Numer. Anal.
, vol.37
, pp. 1120-1137
-
-
Shardlow, T.1
Stuart, A.M.2
-
42
-
-
77952015836
-
Partial Di.erential Equations for Probabilists
-
Cambridge University Press, Cambridge, UK
-
D. STROOCK, Partial Di.erential Equations for Probabilists, Cambridge Stud. Adv. Math. 112, Cambridge University Press, Cambridge, UK, 2008.
-
(2008)
Cambridge Stud. Adv. Math.
, vol.112
-
-
Stroock, D.1
-
43
-
-
0010588720
-
Second order discretization schemes of stochastic di.erential systems for the computation of the invariant law
-
D. TALAY, Second order discretization schemes of stochastic di.erential systems for the computation of the invariant law, Stochastics Stochastics Rep., 29 (1990), pp. 13-36.
-
(1990)
Stochastics Stochastics Rep.
, vol.29
, pp. 13-36
-
-
Talay, D.1
-
44
-
-
0345275329
-
Stochastic Hamiltonian systems: Exponential convergence to the invariant measure, and discretization by the implicit Euler scheme
-
D. TALAY, Stochastic Hamiltonian systems: Exponential convergence to the invariant measure, and discretization by the implicit Euler scheme, Markov Process. Related Fields, 8 (2002), pp. 163-198.
-
(2002)
Markov Process. Related Fields
, vol.8
, pp. 163-198
-
-
Talay, D.1
-
45
-
-
0000124397
-
Expansion of the global error for numerical schemes solving stochastic di.erential equations
-
D. TALAY AND L. TUBARO, Expansion of the global error for numerical schemes solving stochastic di.erential equations, Stoch. Anal. Appl., 8 (1990), pp. 483-509.
-
(1990)
Stoch. Anal. Appl.
, vol.8
, pp. 483-509
-
-
Talay, D.1
Tubaro, L.2
|