-
1
-
-
0036338482
-
Viscosity solutions methods for singular perturbations in deterministic and stochastic control
-
O. Alvarez and M. Bardi, Viscosity solutions methods for singular perturbations in deterministic and stochastic control, SIAM J. Control Optim., 40 (2001), pp. 1159-1188.
-
(2001)
SIAM J. Control Optim.
, vol.40
, pp. 1159-1188
-
-
Alvarez, O.1
Bardi, M.2
-
2
-
-
0000870336
-
Mean first passage time solution of the Smoluchowski equation: Application of relaxation dynamics in myoglobin
-
A. Ansari, Mean first passage time solution of the Smoluchowski equation: Application of relaxation dynamics in myoglobin, J. Chem. Phys., 112 (2000), pp. 2516-2522.
-
(2000)
J. Chem. Phys.
, vol.112
, pp. 2516-2522
-
-
Ansari, A.1
-
3
-
-
0000705763
-
An integral representation and bounds on the effective diffusivity in passive advection by laminar and turbulent flows
-
M. Avellaneda and A. Majda, An integral representation and bounds on the effective diffusivity in passive advection by laminar and turbulent flows, Comm. Math. Phys., 138 (1991), pp. 339-391.
-
(1991)
Comm. Math. Phys.
, vol.138
, pp. 339-391
-
-
Avellaneda, M.1
Majda, A.2
-
4
-
-
0042894343
-
Large deviations for diffusion processes with homogenization and applications
-
P. Baldi, Large deviations for diffusion processes with homogenization and applications, Ann. Probab., 19 (1991), pp. 509-524.
-
(1991)
Ann. Probab.
, vol.19
, pp. 509-524
-
-
Baldi, P.1
-
6
-
-
0003261592
-
Asymptotic analysis for periodic structures
-
North-Holland, Amsterdam, New York
-
A. Bensoussan, J.-L. Lions, and G. Papanicolaou, Asymptotic Analysis for Periodic Structures, Stud. Math. Appl. 5, North-Holland, Amsterdam, New York, 1978.
-
(1978)
Stud. Math. Appl.
, vol.5
-
-
Bensoussan, A.1
Lions, J.-L.2
Papanicolaou, G.3
-
7
-
-
0032237648
-
A variational representation for certain functionals of Brownian motion
-
M. Boué and P. Dupuis, A variational representation for certain functionals of Brownian motion, Ann. Probab., 26 (1998), pp. 1641-1659. (Pubitemid 128374277)
-
(1998)
Annals of Probability
, vol.26
, Issue.4
, pp. 1641-1659
-
-
Boue, M.1
Dupuis, P.2
-
8
-
-
0034424640
-
Large deviations for small noise diffusions with discontinuous statistics
-
M. Boué, P. Dupuis, and R. S. Ellis, Large deviations for small noise diffusions with discontinuous statistics, Probab. Theory Related Fields, 116 (2000), pp. 125-149.
-
(2000)
Probab. Theory Related Fields
, vol.116
, pp. 125-149
-
-
Boué, M.1
Dupuis, P.2
Ellis, R.S.3
-
9
-
-
0028947257
-
Funnels, pathways and the energy landscape of protein folding: A synthesis
-
J. D. Bryngelson, J. N. Onuchic, N. D. Socci, and P. G. Wolynes, Funnels, pathways and the energy landscape of protein folding: A synthesis, Proteins, 21 (1995), pp. 167-195.
-
(1995)
Proteins
, vol.21
, pp. 167-195
-
-
Bryngelson, J.D.1
Onuchic, J.N.2
Socci, N.D.3
Wolynes, P.G.4
-
10
-
-
11244262559
-
Limit theorem for controlled backward SDEs and homogenization of Hamilton-Jacobi-Bellman equations
-
DOI 10.1007/s00245-004-0805-3
-
R. Buckdahn and N. Ichihara, Limit theorem for controlled backward SDEs and homogenization of Hamilton-Jacobi-Bellman equations, Appl. Math. Optim., 51 (2005), pp. 1-33. (Pubitemid 40062720)
-
(2005)
Applied Mathematics and Optimization
, vol.51
, Issue.1
, pp. 1-33
-
-
Buckdahn, R.1
Ichihara, N.2
-
11
-
-
84967708673
-
User's guide to viscosity solutions of second order partial differential equations
-
M. G. Crandall, H. Ishii, and P.-L. Lions, User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. (N.S.), 27 (1992), pp. 1-67.
-
(1992)
Bull. Amer. Math. Soc. (N.S.)
, vol.27
, pp. 1-67
-
-
Crandall, M.G.1
Ishii, H.2
Lions, P.-L.3
-
12
-
-
58549089491
-
Splitting for rare event simulation: A large deviation approach to design and analysis
-
T. Dean and P. Dupuis, Splitting for rare event simulation: A large deviation approach to design and analysis, Stochastic Process. Appl., 119 (2009), pp. 562-587.
-
(2009)
Stochastic Process. Appl.
, vol.119
, pp. 562-587
-
-
Dean, T.1
Dupuis, P.2
-
13
-
-
0003836047
-
-
2nd ed., Appl. Math. (N. Y.) 38, Springer-Verlag, New York
-
A. Dembo and O. Zeitouni, Large Deviations Techniques and Applications, 2nd ed., Appl. Math. (N. Y.) 38, Springer-Verlag, New York, 1998.
-
(1998)
Large Deviations Techniques and Applications
-
-
Dembo, A.1
Zeitouni, O.2
-
15
-
-
84861493177
-
Large deviations for multiscale problems via weak convergence methods
-
to appear
-
P. Dupuis and K. Spiliopoulos, Large deviations for multiscale problems via weak convergence methods, Stochastic Process. Appl., to appear.
-
Stochastic Process. Appl.
-
-
Dupuis, P.1
Spiliopoulos, K.2
-
16
-
-
22244431981
-
Importance sampling, large deviations, and differential games
-
DOI 10.1080/10451120410001733845
-
P. Dupuis and H. Wang, Importance sampling, large deviations and differential games, Stoch. Stoch. Rep., 76 (2004), pp. 481-508. (Pubitemid 39492212)
-
(2004)
Stoch. Stoch. Rep.
, vol.76
, Issue.6
, pp. 481-508
-
-
Dupuis, P.1
Wang, H.2
-
17
-
-
36749081774
-
Subsolutions of an isaacs equation and efficient schemes for importance sampling
-
DOI 10.1287/moor.1070.0266
-
P. Dupuis and H. Wang, Subsolutions of an Isaacs equation and efficient schemes for importance sampling, Math. Oper. Res., 32 (2007), pp. 723-757. (Pubitemid 351159480)
-
(2007)
Mathematics of Operations Research
, vol.32
, Issue.3
, pp. 723-757
-
-
Dupuis, P.1
Wang, H.2
-
18
-
-
85128805678
-
The heterogeneous multiscale methods
-
W. E and B. Engquist, The heterogeneous multiscale methods, Commun. Math. Sci., 1 (2003), pp. 87-132.
-
(2003)
Commun. Math. Sci.
, vol.1
, pp. 87-132
-
-
Engquist, B.1
-
19
-
-
27744467603
-
Analysis of multiscale methods for stochastic differential equations
-
DOI 10.1002/cpa.20088
-
W. E, D. Liu, and E. Vanden-Eijnden, Analysis of multiscale methods for stochastic differential equations, Comm. Pure Appl. Math., 58 (2005), pp. 1544-1585. (Pubitemid 41637799)
-
(2005)
Communications on Pure and Applied Mathematics
, vol.58
, Issue.11
, pp. 1544-1585
-
-
E, W.1
Liu, D.2
Vanden-Eijnden, E.3
-
21
-
-
84974059058
-
Periodic homogenization of certain fully nonlinear partial differential equations
-
L. Evans, Periodic homogenization of certain fully nonlinear partial differential equations, Proc. Roy. Soc. Edinburgh Sect. A, 120 (1992), pp. 245-265.
-
(1992)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.120
, pp. 245-265
-
-
Evans, L.1
-
22
-
-
0031231956
-
Convection enhanced diffusion for random flows
-
A. Fannjiang and G. Papanicolaou, Convection enhanced diffusion for random flows, J. Statist. Phys., 88 (1997), pp. 1033-1076.
-
(1997)
J. Statist. Phys.
, vol.88
, pp. 1033-1076
-
-
Fannjiang, A.1
Papanicolaou, G.2
-
24
-
-
0042636802
-
A comparison of homogenization and large deviations, with applications to wavefront propagation
-
PII S0304414999000034
-
M. Freidlin and R. Sowers, A comparison of homogenization and large deviations, with applications to wavefront propagation, Stochastic Process. Appl., 82 (1999), pp. 23-52. (Pubitemid 129567924)
-
(1999)
Stochastic Processes and their Applications
, vol.82
, Issue.1
, pp. 23-52
-
-
Freidlin, M.I.1
Sowers, R.B.2
-
26
-
-
0041428215
-
Projective methods for stiff differential equations: Problems with gaps in their eigenvalue spectrum
-
C. W. Gear and I. G. Kevrekidis, Projective methods for stiff differential equations: Problems with gaps in their eigenvalue spectrum, SIAM J. Sci. Comput., 24 (2003), pp. 1091-1106.
-
(2003)
SIAM J. Sci. Comput.
, vol.24
, pp. 1091-1106
-
-
Gear, C.W.1
Kevrekidis, I.G.2
-
27
-
-
34247329279
-
Strong convergence of projective integration schemes for singularly perturbed stochastic differential systems
-
D. Givon, I. G. Kevrekidis, and R. Kupferman, Strong convergence of projective integration schemes for singularly perturbed stochastic differential systems, Commun. Math. Sci., 4 (2006), pp. 707-729.
-
(2006)
Commun. Math. Sci.
, vol.4
, pp. 707-729
-
-
Givon, D.1
Kevrekidis, I.G.2
Kupferman, R.3
-
28
-
-
36549028865
-
Optimal importance sampling with explicit formulas in continuous time
-
P. Guasoni and S. Robertson, Optimal importance sampling with explicit formulas in continuous time, Finance Stoch., 12 (2008), pp. 1-19.
-
(2008)
Finance Stoch.
, vol.12
, pp. 1-19
-
-
Guasoni, P.1
Robertson, S.2
-
29
-
-
84970902023
-
Simultaneous effects of homogenization and vanishing viscosity in fully nonlinear elliptic equations
-
K. Horie and H. Ishii, Simultaneous effects of homogenization and vanishing viscosity in fully nonlinear elliptic equations, Funkcial. Ekvac., 46 (2003), pp. 63-88.
-
(2003)
Funkcial. Ekvac.
, vol.46
, pp. 63-88
-
-
Horie, K.1
Ishii, H.2
-
31
-
-
85128858890
-
Equation-free, coarse-grained multiscale computation: Enabling microscopic simulators to perform system-level analysis
-
I. G. Kevrekidis, C. W. Gear, J. M. Hyman, P. G. Kevrekidis, O. Runborg, and C. Theodoropoulos, Equation-free, coarse-grained multiscale computation: Enabling microscopic simulators to perform system-level analysis, Commun. Math. Sci., 1 (2003), pp. 715-762.
-
(2003)
Commun. Math. Sci.
, vol.1
, pp. 715-762
-
-
Kevrekidis, I.G.1
Gear, C.W.2
Hyman, J.M.3
Kevrekidis, P.G.4
Runborg, O.5
Theodoropoulos, C.6
-
32
-
-
0007120846
-
The averaging of random operators
-
S. Kozlov, The averaging of random operators, Mat. Sb. (N.S.), 109 (1979), pp. 188-202.
-
(1979)
Mat. Sb. (N.S.)
, vol.109
, pp. 188-202
-
-
Kozlov, S.1
-
33
-
-
84956096809
-
Geometric aspects of averaging
-
S. Kozlov, Geometric aspects of averaging, Russian Math. Surveys, 44 (1989), pp. 91-144.
-
(1989)
Russian Math. Surveys
, vol.44
, pp. 91-144
-
-
Kozlov, S.1
-
34
-
-
21444453222
-
Degeneration of effective diffusion in the presence of periodic potential
-
S. M. Kozlov and A. L. Piatniskii, Degeneration of effective diffusion in the presence of periodic potential, Ann. Inst. H. Poincaré Probab. Statist., 32 (1996), pp. 571-587.
-
(1996)
Ann. Inst. H. Poincaré Probab. Statist.
, vol.32
, pp. 571-587
-
-
Kozlov, S.M.1
Piatniskii, A.L.2
-
35
-
-
34548489401
-
Comparative analysis of multiscale Gaussian random field simulation algorithms
-
P. R. Kramer, O. Kurbanmuradov, and K. Sabelfeld, Comparative analysis of multiscale Gaussian random field simulation algorithms, J. Comput. Phys., 226 (2007), pp. 897-924.
-
(2007)
J. Comput. Phys.
, vol.226
, pp. 897-924
-
-
Kramer, P.R.1
Kurbanmuradov, O.2
Sabelfeld, K.3
-
36
-
-
36849120663
-
On the self-diffusion of ions in a polyelectrolyte solution
-
S. Lifson and J. L. Jackson, On the self-diffusion of ions in a polyelectrolyte solution, J. Chem. Phys., 36 (1962), pp. 2410-2414.
-
(1962)
J. Chem. Phys.
, vol.36
, pp. 2410-2414
-
-
Lifson, S.1
Jackson, J.L.2
-
38
-
-
24944549463
-
Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications
-
DOI 10.1016/j.anihpc.2004.10.009, PII S0294144905000284
-
P.-L. Lions and P. E. Souganidis, Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications, Ann. Inst. H. Poincaré Anal. Non Linéaire, 22 (2005), pp. 667-677. (Pubitemid 41328788)
-
(2005)
Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis
, vol.22
, Issue.5
, pp. 667-677
-
-
Lions, P.-L.1
Souganidis, P.E.2
-
39
-
-
0031599142
-
A 623-dimensionally equidistributed uniform pseudo-random number generator
-
M. Matsumoto and T. Nishimura, Mersenne Twister: A 623-dimensionally equidistributed uniform pseudo-random number generator, ACM Trans. Model. Comput. Simul., 8 (1998), pp. 3-30.
-
(1998)
ACM Trans. Model. Comput. Simul.
, vol.8
, pp. 3-30
-
-
Matsumoto, M.1
Nishimura, T.2
Twister, M.3
-
40
-
-
60749128340
-
Noise-induced transport in a rough ratchet potential
-
D. Mondal, P. K. Ghosh, and D. S. Ray, Noise-induced transport in a rough ratchet potential, J. Chem. Phys., 130 (2009), 074703.
-
(2009)
J. Chem. Phys.
, vol.130
, pp. 074703
-
-
Mondal, D.1
Ghosh, P.K.2
Ray, D.S.3
-
41
-
-
0000374920
-
Homogenization of a diffusion process in a divergence-free random field
-
K. Oelschlager, Homogenization of a diffusion process in a divergence-free random field, Ann. Probab., 16 (1988), pp. 1084-1126.
-
(1988)
Ann. Probab.
, vol.16
, pp. 1084-1126
-
-
Oelschlager, K.1
-
43
-
-
0345761240
-
Homogenization of a bond diffusion in a locally ergodic random environment
-
DOI 10.1016/j.spa.2003.10.009, PII S0304414903001704
-
S. Olla and P. Siri, Homogenization of a bond diffusion in a locally ergodic random environment, Stochastic Process. Appl., 109 (2004), pp. 317-326. (Pubitemid 38037784)
-
(2004)
Stochastic Processes and their Applications
, vol.109
, Issue.2
, pp. 317-326
-
-
Olla, S.1
Siri, P.2
-
45
-
-
0001689286
-
Boundary value problems with rapidly oscillating random coefficients
-
North-Holland, Amsterdam, New York
-
G. Papanicolaou and S. R. S. Varadhan, Boundary value problems with rapidly oscillating random coefficients, in Random Fields, Colloq. Math. Soc. János Bolyai 27, North-Holland, Amsterdam, New York, 1981, pp. 835-873.
-
(1981)
Random Fields, Colloq. Math. Soc. János Bolyai
, vol.27
, pp. 835-873
-
-
Papanicolaou, G.1
Varadhan, S.R.S.2
-
46
-
-
34547336975
-
Variance reduction for the equation-free simulation of multiscale stochastic systems
-
DOI 10.1137/060650635
-
A. Papavasiliou and I. G. Kevrekidis, Variance reduction for the equation-free simulation of multiscale stochastic systems, Multiscale Model. Simul., 6 (2007), pp. 70-89. (Pubitemid 351479390)
-
(2007)
Multiscale Modeling and Simulation
, vol.6
, Issue.1
, pp. 70-89
-
-
Papavasiliou, A.1
Kevrekidis, I.G.2
-
48
-
-
59449090630
-
Diffusion in a locally stationary random environment
-
R. Rhodes, Diffusion in a locally stationary random environment, Probab. Theory Related Fields, 143 (2009), pp. 545-568.
-
(2009)
Probab. Theory Related Fields
, vol.143
, pp. 545-568
-
-
Rhodes, R.1
-
49
-
-
77952397860
-
Homogenization of locally stationary diffusions with possibly degenerate diffusion matrix
-
R. Rhodes, Homogenization of locally stationary diffusions with possibly degenerate diffusion matrix, Ann. Inst. Henri Poincaré Probab. Stat., 45 (2009), pp. 981-1001.
-
(2009)
Ann. Inst. Henri Poincaré Probab. Stat.
, vol.45
, pp. 981-1001
-
-
Rhodes, R.1
-
50
-
-
0001081429
-
Kinetics of protein folding: The dynamics of globally connected rough energy landscapes with biases
-
J. G. Saven, J. Wang, and P. G. Wolynes, Kinetics of protein folding: The dynamics of globally connected rough energy landscapes with biases, J. Chem. Phys., 101 (1994), pp. 11037-11043.
-
(1994)
J. Chem. Phys.
, vol.101
, pp. 11037-11043
-
-
Saven, J.G.1
Wang, J.2
Wolynes, P.G.3
-
51
-
-
85128824735
-
Numerical techniques for multi-scale dynamical systems with stochastic effects
-
E. Vanden-Eijnden, Numerical techniques for multi-scale dynamical systems with stochastic effects, Commun. Math. Sci., 1 (2003), pp. 385-391.
-
(2003)
Commun. Math. Sci.
, vol.1
, pp. 385-391
-
-
Vanden-Eijnden, E.1
|