-
1
-
-
0001505964
-
On deviations of the sample mean
-
R.R. Bahadur and R. Ranga Rao. On deviations of the sample mean. Ann. Math. Statist., 31:1015-1027, 1960.
-
(1960)
Ann. Math. Statist
, vol.31
, pp. 1015-1027
-
-
Bahadur, R.R.1
Ranga Rao, R.2
-
2
-
-
0002801896
-
Multiplicative ergodicity and large deviations for an irreducible Markov chain
-
S. Balaji and S.P. Meyn. Multiplicative ergodicity and large deviations for an irreducible Markov chain. Stochastic Process. Appl., 90(1):123-144, 2000.
-
(2000)
Stochastic Process. Appl
, vol.90
, Issue.1
, pp. 123-144
-
-
Balaji, S.1
Meyn, S.P.2
-
3
-
-
0001584203
-
Some potential theory for reflecting Brownian motion in Holder and Lipschitz domains
-
R.F. Bass and P. Hsu. Some potential theory for reflecting Brownian motion in Holder and Lipschitz domains. Ann. Probab., 19(2):486-508, 1991.
-
(1991)
Ann. Probab
, vol.19
, Issue.2
, pp. 486-508
-
-
Bass, R.F.1
Hsu, P.2
-
4
-
-
0040632820
-
Markov process large deviations in t-topology
-
E. Bolthausen. Markov process large deviations in t-topology. Stochastic Process. Appl., 25(1):95-108, 1987.
-
(1987)
Stochastic Process. Appl
, vol.25
, Issue.1
, pp. 95-108
-
-
Bolthausen, E.1
-
5
-
-
0034711194
-
Metastability and small eigenvalues in Markov chains
-
A. Bovier, M. Eckhoff, V. Gayrard, and M. Klein. Metastability and small eigenvalues in Markov chains. J. Phys. A, 33(46):L447-L451, 2000.
-
(2000)
J. Phys. A
, vol.33
, Issue.46
, pp. L447-L451
-
-
Bovier, A.1
Eckhoff, M.2
Gayrard, V.3
Klein, M.4
-
6
-
-
0004055894
-
-
preparation, Department of Electrical Engineering, Stanford University
-
S. Boyd and L. Vandenberghe. Convex Optimization. In preparation, Department of Electrical Engineering, Stanford University, 2002.
-
(2002)
Convex Optimization
-
-
Boyd, S.1
Vandenberghe, L.2
-
7
-
-
0001053010
-
Strong large deviation and local limit theorems
-
N.R. Chaganty and J. Sethuraman. Strong large deviation and local limit theorems. Ann. Probab., 21(3):1671-1690, 1993.
-
(1993)
Ann. Probab
, vol.21
, Issue.3
, pp. 1671-1690
-
-
Chaganty, N.R.1
Sethuraman, J.2
-
8
-
-
0001316461
-
Pseudospectra of differential operators
-
E.B. Davies. Pseudospectra of differential operators. J. Operator Theory, 43:243-262, 2000.
-
(2000)
J. Operator Theory
, vol.43
, pp. 243-262
-
-
Davies, E.B.1
-
9
-
-
0001356070
-
Large deviations from the McKean-Vlasov limit for weakly interacting diffusions
-
D.A. Dawson and J. Gartner. Large deviations from the McKean-Vlasov limit for weakly interacting diffusions. Stochastics, 20(4):247-308, 1987.
-
(1987)
Stochastics
, vol.20
, Issue.4
, pp. 247-308
-
-
Dawson, D.A.1
Gartner, J.2
-
10
-
-
0011692844
-
Large deviations for empirical measures of Markov chains
-
A. de Acosta. Large deviations for empirical measures of Markov chains. J. Theoret. Probab., 3(3):395-431, 1990.
-
(1990)
J. Theoret. Probab
, vol.3
, Issue.3
, pp. 395-431
-
-
De Acosta, A.1
-
11
-
-
0000371241
-
On the approximation of complicated dynamical behavior
-
Michael Dellnitz and Oliver Junge. On the approximation of complicated dynamical behavior. SIAM J. On Numerical Analysis, 36(2):491-515, 1999.
-
(1999)
SIAM J. On Numerical Analysis
, vol.36
, Issue.2
, pp. 491-515
-
-
Dellnitz, M.1
Junge, O.2
-
14
-
-
84980178612
-
Asymptotic evaluation of certain Markov process expectations for large time. I. II
-
M.D. Donsker and S.R.S. Varadhan. Asymptotic evaluation of certain Markov process expectations for large time. I. II. Comm. Pure Appl. Math., 28:1-47;
-
Comm. Pure Appl. Math
, vol.28
, pp. 1-47
-
-
Donsker, M.D.1
Varadhan, S.R.S.2
-
15
-
-
84980140517
-
Asymptotic evaluation of certain Markov process expectations for large time. I. II
-
1975
-
M.D. Donsker and S.R.S. Varadhan. Asymptotic evaluation of certain Markov process expectations for large time. I. II. Comm. Pure Appl. Math.,28 (1975), 279-301, 1975.
-
(1975)
Comm. Pure Appl. Math
, vol.28
, pp. 279-301
-
-
Donsker, M.D.1
Varadhan, S.R.S.2
-
16
-
-
84980151353
-
Asymptotic evaluation of certain Markov process expectations for large time. III
-
M.D. Donsker and S.R.S. Varadhan. Asymptotic evaluation of certain Markov process expectations for large time. III. Comm. Pure Appl. Math., 29(4):389-461, 1976.
-
(1976)
Comm. Pure Appl. Math
, vol.29
, Issue.4
, pp. 389-461
-
-
Donsker, M.D.1
Varadhan, S.R.S.2
-
17
-
-
84990587390
-
Asymptotic evaluation of certain Markov process expectations for large time. IV
-
M.D. Donsker and S.R.S. Varadhan. Asymptotic evaluation of certain Markov process expectations for large time. IV. Comm. Pure Appl. Math., 36(2):183-212, 1983.
-
(1983)
Comm. Pure Appl. Math
, vol.36
, Issue.2
, pp. 183-212
-
-
Donsker, M.D.1
Varadhan, S.R.S.2
-
18
-
-
21344460828
-
Exponential and uniform ergodicity of Markov processes
-
D. Down, S. P. Meyn, and R. L. Tweedie. Exponential and uniform ergodicity of Markov processes. Ann. Probab., 23(4):1671-1691, 1995.
-
(1995)
Ann. Probab
, vol.23
, Issue.4
, pp. 1671-1691
-
-
Down, D.1
Meyn, S.P.2
Tweedie, R.L.3
-
19
-
-
0030079492
-
A nonstandard form of the rate function for the occupation measure of a markov chain
-
P. Dupuis and O. Zeitouni. A nonstandard form of the rate function for the occupation measure of a markov chain. Stochastic Process. Appl., 61:249-261, 1996.
-
(1996)
Stochastic Process. Appl
, vol.61
, pp. 249-261
-
-
Dupuis, P.1
Zeitouni, O.2
-
20
-
-
0009955236
-
Large deviations for products of empirical measures of dependent sequences
-
P. Eichelsbacher and U. Schmock. Large deviations for products of empirical measures of dependent sequences. Markov Process. Related Fields, 7(3):435-468, 2001.
-
(2001)
Markov Process. Related Fields
, vol.7
, Issue.3
, pp. 435-468
-
-
Eichelsbacher, P.1
Schmock, U.2
-
21
-
-
0033147724
-
Martingale problems for large deviations of Markov processes
-
J. Feng. Martingale problems for large deviations of Markov processes. Stochastic Process. Appl., 81:165-212, 1999.
-
(1999)
Stochastic Process. Appl
, vol.81
, pp. 165-212
-
-
Feng, J.1
-
23
-
-
0018156010
-
Exit probabilities and optimal stochastic control
-
W.H. Fleming. Exit probabilities and optimal stochastic control. App. Math. Optim., 4:329-346, 1978.
-
(1978)
App. Math. Optim
, vol.4
, pp. 329-346
-
-
Fleming, W.H.1
-
24
-
-
0001669117
-
Reversibility of solutions to martingale problems
-
Academic Press, Orlando, FL
-
M. Fukushima and D. Stroock. Reversibility of solutions to martingale problems. In Probability, statistical mechanics, and number theory, pages 107-123. Academic Press, Orlando, FL, 1986.
-
(1986)
Probability, Statistical Mechanics, and Number Theory
, pp. 107-123
-
-
Fukushima, M.1
Stroock, D.2
-
25
-
-
0001005608
-
Large deviation theorems for empirical probability measures
-
P. Groeneboom, J. Oosterhoff, and F.H. Ruymgaart. Large deviation theorems for empirical probability measures. Ann. Probab., 7(4):553-586, 1979.
-
(1979)
Ann. Probab
, vol.7
, Issue.4
, pp. 553-586
-
-
Groeneboom, P.1
Oosterhoff, J.2
Ruymgaart, F.H.3
-
26
-
-
0001144425
-
On ergodicity and recurrence properties of a Markov chain with an application to an open Jackson network
-
A. Hordijk and F. Spieksma. On ergodicity and recurrence properties of a Markov chain with an application to an open Jackson network. Adv. in Appl. Probab., 24(2):343-376, 1992.
-
Adv. In Appl. Probab
, vol.24
, Issue.2
, pp. 343-376
-
-
Hordijk, A.1
Spieksma, F.2
-
27
-
-
15944402414
-
Phase transitions and metastability in Markovian and molecular systems
-
to appear
-
W. Huisinga, S.P. Meyn, and C. Schuette. Phase transitions and metastability in Markovian and molecular systems. Ann. Appl. Probab., 2001. to appear.
-
(2001)
Ann. Appl. Probab
-
-
Huisinga, W.1
Meyn, S.P.2
Schuette, C.3
-
28
-
-
0000269609
-
Large deviations of uniformly recurrent Markov additive processes
-
I. Iscoe, P. Ney, and E. Nummelin. Large deviations of uniformly recurrent Markov additive processes. Adv. Appl. Math., 6:373-412, 1985.
-
(1985)
Adv. Appl. Math
, vol.6
, pp. 373-412
-
-
Iscoe, I.1
Ney, P.2
Nummelin, E.3
-
29
-
-
0038992289
-
Large deviation lower bounds for additive functionals of Markov processes
-
N.C. Jain. Large deviation lower bounds for additive functionals of Markov processes. Ann. Probab, 18(3):1071-1098, 1990.
-
(1990)
Ann. Probab
, vol.18
, Issue.3
, pp. 1071-1098
-
-
Jain, N.C.1
-
30
-
-
0001740568
-
Saddlepoint expansions for sums of Markov dependent variables on a continuous state space
-
J.L. Jensen. Saddlepoint expansions for sums of Markov dependent variables on a continuous state space. Probab. Theory Related Fields, 89(2):181-199, 1991.
-
(1991)
Probab. Theory Related Fields
, vol.89
, Issue.2
, pp. 181-199
-
-
Jensen, J.L.1
-
31
-
-
0038876647
-
Criteria for uniform ergodicity and strong stability of Markov chains with a common phase space
-
N.V. Kartashov. Criteria for uniform ergodicity and strong stability of Markov chains with a common phase space. Theor. Probability Appl., 30:71-89, 1985.
-
(1985)
Theor. Probability Appl
, vol.30
, pp. 71-89
-
-
Kartashov, N.V.1
-
32
-
-
0040061152
-
Inequalities in theorems of ergodicity and stability for Markov chains with a common phase space
-
N.V. Kartashov. Inequalities in theorems of ergodicity and stability for Markov chains with a common phase space. Theor. Probability Appl., 30:247-259, 1985.
-
(1985)
Theor. Probability Appl
, vol.30
, pp. 247-259
-
-
Kartashov, N.V.1
-
33
-
-
0037279497
-
Spectral theory and limit theorems for geometrically ergodic Markov processes
-
I. Kontoyiannis and S.P. Meyn. Spectral theory and limit theorems for geometrically ergodic Markov processes. Ann. Appl. Probab., 13:304-362, February 2003.
-
(2003)
Ann. Appl. Probab
, vol.13
, pp. 304-362
-
-
Kontoyiannis, I.1
Meyn, S.P.2
-
36
-
-
0000566364
-
Computable bounds for geometric convergence rates of Markov chains
-
S.P. Meyn and R.L. Tweedie. Computable bounds for geometric convergence rates of Markov chains. Ann. Appl. Probab., 4(4):981-1011, 1994.
-
(1994)
Ann. Appl. Probab
, vol.4
, Issue.4
, pp. 981-1011
-
-
Meyn, S.P.1
Tweedie, R.L.2
-
37
-
-
0000413365
-
A convexivity property in the theory of random variables defined on a finite Markov chain
-
H.D. Miller. A convexivity property in the theory of random variables defined on a finite Markov chain. Ann. Math. Statist., 32:1260-1270, 1961.
-
(1961)
Ann. Math. Statist
, vol.32
, pp. 1260-1270
-
-
Miller, H.D.1
-
38
-
-
0001621270
-
Markov additive processes. I. Eigenvalue properties and limit theorems
-
P. Ney and E. Nummelin. Markov additive processes. I. Eigenvalue properties and limit theorems. Ann. Probab., 15(2):561-592, 1987.
-
(1987)
Ann. Probab
, vol.15
, Issue.2
, pp. 561-592
-
-
Ney, P.1
Nummelin, E.2
-
39
-
-
0001621270
-
Markov additive processes II. Large deviations
-
P. Ney and E. Nummelin. Markov additive processes II. Large deviations. Ann. Probab., 15(2):593-609, 1987.
-
(1987)
Ann. Probab
, vol.15
, Issue.2
, pp. 593-609
-
-
Ney, P.1
Nummelin, E.2
-
42
-
-
0034336318
-
Asymptotic behavior of thermal nonequilibrium steady states for a driven chain of anharmonic oscillators
-
L. Rey-Bellet and L. E. Thomas. Asymptotic behavior of thermal nonequilibrium steady states for a driven chain of anharmonic oscillators. Comm. Math. Phys., 215:1-24, 2000.
-
(2000)
Comm. Math. Phys
, vol.215
, pp. 1-24
-
-
Rey-Bellet, L.1
Thomas, L.E.2
-
43
-
-
0036435161
-
Fluctuations of the entropy production in anharmonic chains
-
L. Rey-Bellet and L. E. Thomas. Fluctuations of the entropy production in anharmonic chains. Ann. Henri Poincaré, 3(3):483-502, 2002.
-
(2002)
Ann. Henri Poincaré
, vol.3
, Issue.3
, pp. 483-502
-
-
Rey-Bellet, L.1
Thomas, L.E.2
-
44
-
-
0004082897
-
-
Society for Industrial and Applied Mathematics (SIAM), Philadelphia, Pa
-
S.R.S. Varadhan. Large Deviations and Applications. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, Pa., 1984.
-
(1984)
Large Deviations and Applications
-
-
Varadhan, S.R.S.1
-
45
-
-
0012871505
-
Large and moderate deviations and exponential convergence for stochastic damping Hamiltonian systems
-
L. Wu. Large and moderate deviations and exponential convergence for stochastic damping Hamiltonian systems. Stochastic Process. Appl., 91(2):205-238, 2001.
-
(2001)
Stochastic Process. Appl
, vol.91
, Issue.2
, pp. 205-238
-
-
Wu, L.1
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