-
1
-
-
0036338482
-
Viscosity solutions methods for singular perturbations in deterministic and stochastic control
-
1882729 10.1137/S0363012900366741 1017.49028
-
Alvarez, O., Bardi, M.: Viscosity solutions methods for singular perturbations in deterministic and stochastic control. SIAM J. Control Optim. 40(4), 1159-1188 (2001)
-
(2001)
SIAM J. Control Optim.
, vol.40
, Issue.4
, pp. 1159-1188
-
-
Alvarez, O.1
Bardi, M.2
-
2
-
-
0009909157
-
On ergodic stochastic control
-
1662180 10.1080/03605309808821413 1126.93434
-
Arisawa, M., Lions, P.-L.: On ergodic stochastic control. Commun. Partial Differ. Equ. 23, 2187-2217 (1998)
-
(1998)
Commun. Partial Differ. Equ.
, vol.23
, pp. 2187-2217
-
-
Arisawa, M.1
Lions, P.-L.2
-
3
-
-
0042894343
-
Large deviations for diffusions processes with homogenization and applications
-
1106273 10.1214/aop/1176990438 0735.60026
-
Baldi, P.: Large deviations for diffusions processes with homogenization and applications. Ann. Probab. 19(2), 509-524 (1991)
-
(1991)
Ann. Probab.
, vol.19
, Issue.2
, pp. 509-524
-
-
Baldi, P.1
-
6
-
-
0003529370
-
-
Studies in Mathematics and its Applications 5 North-Holland Amsterdam 0404.35001
-
Bensoussan, A., Lions, J.L., Papanicolaou, G.: Asymptotic Analysis for Periodic Structures. Studies in Mathematics and its Applications, vol. 5. North-Holland, Amsterdam (1978)
-
(1978)
Asymptotic Analysis for Periodic Structures
-
-
Bensoussan, A.1
Lions, J.L.2
Papanicolaou, G.3
-
7
-
-
36949037739
-
Averaging of singularly perturbed controlled stochastic differential equations
-
2352935 10.1007/s00245-007-0893-6 1139.93022
-
Borkar, V., Gaitsgory, V.: Averaging of singularly perturbed controlled stochastic differential equations. Appl. Math. Optim. 56(2), 169-209 (2007)
-
(2007)
Appl. Math. Optim.
, vol.56
, Issue.2
, pp. 169-209
-
-
Borkar, V.1
Gaitsgory, V.2
-
8
-
-
0032237648
-
A variational representation for certain functionals of Brownian motion
-
1675051 10.1214/aop/1022855876 0936.60059
-
Boué, M., Dupuis, P.: A variational representation for certain functionals of Brownian motion. Ann. Probab. 26(4), 1641-1659 (1998)
-
(1998)
Ann. Probab.
, vol.26
, Issue.4
, pp. 1641-1659
-
-
Boué, M.1
Dupuis, P.2
-
9
-
-
11244262559
-
Limit theorem for controlled backward SDEs and homogenization of Hamilton-Jacobi-Bellman equations
-
2101380 10.1007/s00245-004-0805-3 1109.60055
-
Buckdahn, R., Ichihara, N.: Limit theorem for controlled backward SDEs and homogenization of Hamilton-Jacobi-Bellman equations. Appl. Math. Optim. 51, 1-33 (2005)
-
(2005)
Appl. Math. Optim.
, vol.51
, pp. 1-33
-
-
Buckdahn, R.1
Ichihara, N.2
-
10
-
-
67650727363
-
Rates of convergence in periodic homogenization of fully nonlinear uniformly elliptic PDEs
-
2507330 10.1088/0951-7715/22/6/011 1172.35318
-
Camilli, F., Marchi, C.: Rates of convergence in periodic homogenization of fully nonlinear uniformly elliptic PDEs. Nonlinearity 22, 1481-1498 (2009)
-
(2009)
Nonlinearity
, vol.22
, pp. 1481-1498
-
-
Camilli, F.1
Marchi, C.2
-
12
-
-
84858713706
-
Large deviations for multiscale problems via weak convergence methods
-
2914778 10.1016/j.spa.2011.12.006 1247.60034
-
Dupuis, P., Spiliopoulos, K.: Large deviations for multiscale problems via weak convergence methods. Stoch. Process. Appl. 122, 1947-1987 (2012)
-
(2012)
Stoch. Process. Appl.
, vol.122
, pp. 1947-1987
-
-
Dupuis, P.1
Spiliopoulos, K.2
-
13
-
-
84861503544
-
Importance sampling for multiscale diffusions
-
2902596 10.1137/110842545
-
Dupuis, P., Spiliopoulos, K., Wang, H.: Importance sampling for multiscale diffusions. SIAM J. Multiscale Model. Simul. 12(1), 1-27 (2012)
-
(2012)
SIAM J. Multiscale Model. Simul.
, vol.12
, Issue.1
, pp. 1-27
-
-
Dupuis, P.1
Spiliopoulos, K.2
Wang, H.3
-
15
-
-
36749081774
-
Subsolutions of an Isaacs equation and efficient schemes for importance sampling
-
2348245 10.1287/moor.1070.0266 05279751
-
Dupuis, P., Wang, H.: Subsolutions of an Isaacs equation and efficient schemes for importance sampling. Math. Oper. Res. 32(3), 723-757 (2007)
-
(2007)
Math. Oper. Res.
, vol.32
, Issue.3
, pp. 723-757
-
-
Dupuis, P.1
Wang, H.2
-
17
-
-
84974059058
-
Periodic homogenization of certain fully nonlinear partial differential equations
-
10.1017/S0308210500032121 0796.35011
-
Evans, L.: Periodic homogenization of certain fully nonlinear partial differential equations. Proc. R. Soc. Edinb., Sect. A 120, 245-265 (1992)
-
(1992)
Proc. R. Soc. Edinb., Sect. A
, vol.120
, pp. 245-265
-
-
Evans, L.1
-
18
-
-
84872682316
-
Small-time asymptotics for fast mean-reverting stochastic volatility models
-
10.1214/11-AAP801 06083943
-
Feng, J., Fouque, J.-P., Kumar, R.: Small-time asymptotics for fast mean-reverting stochastic volatility models. Ann. Appl. Probab. 22(4), 1541-1575 (2012)
-
(2012)
Ann. Appl. Probab.
, vol.22
, Issue.4
, pp. 1541-1575
-
-
Feng, J.1
Fouque, J.-P.2
Kumar, R.3
-
19
-
-
0042636802
-
A comparison of homogenization and large deviations, with applications to wavefront propagation
-
1695068 10.1016/S0304-4149(99)00003-4 0996.60035
-
Freidlin, M., Sowers, R.: A comparison of homogenization and large deviations, with applications to wavefront propagation. Stoch. Process. Appl. 82(1), 23-52 (1999)
-
(1999)
Stoch. Process. Appl.
, vol.82
, Issue.1
, pp. 23-52
-
-
Freidlin, M.1
Sowers, R.2
-
20
-
-
19944362518
-
Computing the effective Hamiltonian using a variational approach
-
2114376 10.1137/S0363012902417620
-
Gomes D, D., Oberman, A.: Computing the effective Hamiltonian using a variational approach. SIAM J. Control Optim. 43, 792-812 (2004)
-
(2004)
SIAM J. Control Optim.
, vol.43
, pp. 792-812
-
-
Gomes, D.D.1
Oberman, A.2
-
21
-
-
84970902023
-
Simultaneous effects of homogenization and vanishing viscosity in fully nonlinear elliptic equations
-
1996294 10.1619/fesi.46.63 1151.35351
-
Horie, K., Ishii, H.: Simultaneous effects of homogenization and vanishing viscosity in fully nonlinear elliptic equations. Funkc. Ekvacioj 46(1), 63-88 (2003)
-
(2003)
Funkc. Ekvacioj
, vol.46
, Issue.1
, pp. 63-88
-
-
Horie, K.1
Ishii, H.2
-
22
-
-
33644939007
-
On the structure of solutions of ergodic type Bellman equation related to risk-sensitive control
-
2206349 10.1214/009117905000000431 1092.60030
-
Kaise, H., Sheu, S.J.: On the structure of solutions of ergodic type Bellman equation related to risk-sensitive control. Ann. Probab. 34(1), 284-320 (2006)
-
(2006)
Ann. Probab.
, vol.34
, Issue.1
, pp. 284-320
-
-
Kaise, H.1
Sheu, S.J.2
-
23
-
-
58149105938
-
Ergodic type Bellman equations of first order with quadratic Hamiltonian
-
2465707 10.1007/s00245-008-9043-z 1166.49028
-
Kaise, H., Sheu, S.J.: Ergodic type Bellman equations of first order with quadratic Hamiltonian. Appl. Math. Optim. 59(1), 37-73 (2009)
-
(2009)
Appl. Math. Optim.
, vol.59
, Issue.1
, pp. 37-73
-
-
Kaise, H.1
Sheu, S.J.2
-
25
-
-
78049529258
-
Large deviations for two-time-scale diffusions with delays
-
2727337 10.1007/s00245-010-9104-y
-
Kushner, H.J.: Large deviations for two-time-scale diffusions with delays. Appl. Math. Optim. 62(3), 295-322 (2009)
-
(2009)
Appl. Math. Optim.
, vol.62
, Issue.3
, pp. 295-322
-
-
Kushner, H.J.1
-
26
-
-
36849120663
-
On the self-diffusion of ions in a polyelectrolyte solution
-
10.1063/1.1732899
-
Lifson, S., Jackson, J.L.: On the self-diffusion of ions in a polyelectrolyte solution. J. Chem. Phys. 36, 2410-2414 (1962)
-
(1962)
J. Chem. Phys.
, vol.36
, pp. 2410-2414
-
-
Lifson, S.1
Jackson, J.L.2
-
27
-
-
24944549463
-
Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications
-
2171996 10.1016/j.anihpc.2004.10.009 1135.35092
-
Lions, P.-L., Souganidis, P.E.: Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applications. Ann. Inst. Henri Poincaré, Anal. Non Linéaire 22(5), 667-677 (2005)
-
(2005)
Ann. Inst. Henri Poincaré, Anal. Non Linéaire
, vol.22
, Issue.5
, pp. 667-677
-
-
Lions, P.-L.1
Souganidis, P.E.2
-
28
-
-
0012862641
-
Large deviations for two scaled diffusions
-
10.1007/s004400050058
-
Lipster, R.: Large deviations for two scaled diffusions. Probab. Theory Relat. Fields 106(1), 71-104 (1996)
-
(1996)
Probab. Theory Relat. Fields
, vol.106
, Issue.1
, pp. 71-104
-
-
Lipster, R.1
-
29
-
-
60749128340
-
Noise-induced transport in a rough racket potential
-
074703 10.1063/1.3076934
-
Mondal, D., Ghosh, P.K., Ray, D.S.: Noise-induced transport in a rough racket potential. J. Chem. Phys. 130, 074703 (2009)
-
(2009)
J. Chem. Phys.
, vol.130
-
-
Mondal, D.1
Ghosh, P.K.2
Ray, D.S.3
-
30
-
-
0038336352
-
On Poisson equation and diffusion approximation 2
-
1988467 10.1214/aop/1055425774 1054.60064
-
Pardoux, E., Veretennikov, A.Yu.: On Poisson equation and diffusion approximation 2. Ann. Probab. 31(3), 1166-1192 (2003)
-
(2003)
Ann. Probab.
, vol.31
, Issue.3
, pp. 1166-1192
-
-
Pardoux, E.1
Veretennikov, A.Yu.2
-
32
-
-
0001081429
-
Kinetics of protein folding: The dynamics of globally connected rough energy landscapes with biases
-
10.1063/1.467855
-
Saven, J.G., Wang, J., Wolynes, P.G.: Kinetics of protein folding: the dynamics of globally connected rough energy landscapes with biases. J. Chem. Phys. 101(12), 11037-11043 (1994)
-
(1994)
J. Chem. Phys.
, vol.101
, Issue.12
, pp. 11037-11043
-
-
Saven, J.G.1
Wang, J.2
Wolynes, P.G.3
-
33
-
-
0033243135
-
On large deviations in the averaging principle for SDEs with a "full dependence", correction, arXiv:math/0502098v1 [math.PR]
-
Veretennikov, A.Yu.: On large deviations in the averaging principle for SDEs with a "full dependence", correction, arXiv:math/0502098v1 [math.PR] (2005). Initial article in Ann. Probab. 27(1), 284-296 (1999)
-
(1999)
Initial Article in Ann. Probab.
, vol.27
, Issue.1
, pp. 284-296
-
-
Veretennikov, A.Yu.1
-
34
-
-
0041914537
-
On large deviations for SDEs with small diffusion and averaging
-
1775227 10.1016/S0304-4149(00)00013-2 1045.60065
-
Veretennikov, A.Yu.: On large deviations for SDEs with small diffusion and averaging. Stoch. Process. Appl. 89(1), 69-79 (2000)
-
(2000)
Stoch. Process. Appl.
, vol.89
, Issue.1
, pp. 69-79
-
-
Veretennikov, A.Yu.1
-
35
-
-
0024121530
-
Diffusion in a rough potential
-
934660 10.1073/pnas.85.7.2029
-
Zwanzig, R.: Diffusion in a rough potential. Proc. Natl. Acad. Sci. USA 85, 2029-2030 (1988)
-
(1988)
Proc. Natl. Acad. Sci. USA
, vol.85
, pp. 2029-2030
-
-
Zwanzig, R.1
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