-
1
-
-
0042511809
-
A conditional expectation formula for diffusion processes
-
Aase K. A conditional expectation formula for diffusion processes. J. Appl. Probab. 14:1977;626-629.
-
(1977)
J. Appl. Probab.
, vol.14
, pp. 626-629
-
-
Aase, K.1
-
2
-
-
84990553776
-
Brownian motion and Harnack inequality for Schrödinger operators
-
Aizenman M., Simon B. Brownian motion and Harnack inequality for Schrödinger operators. Comm. Pure Appl. Math. 35:1982;209-273.
-
(1982)
Comm. Pure Appl. Math.
, vol.35
, pp. 209-273
-
-
Aizenman, M.1
Simon, B.2
-
4
-
-
0000045348
-
Systèmes de Lévy des processus de Markov
-
Benveniste A., Jacod J. Systèmes de Lévy des processus de Markov. Invent. Math. 21:1973;183-198.
-
(1973)
Invent. Math.
, vol.21
, pp. 183-198
-
-
Benveniste, A.1
Jacod, J.2
-
5
-
-
0043012839
-
Critère de convergence des fonctionelles de Kac et applications en mechanique et en géometrie
-
Berthier A., Gaveau B. Critère de convergence des fonctionelles de Kac et applications en mechanique et en géometrie. J. Funct. Anal. 29:1978;416-424.
-
(1978)
J. Funct. Anal.
, vol.29
, pp. 416-424
-
-
Berthier, A.1
Gaveau, B.2
-
6
-
-
0009214128
-
On the Hilbert transform of the local times of a Lévy process
-
Bertoin J. On the Hilbert transform of the local times of a Lévy process. Bull. Sci. Math. 119(2,):1995;147-156.
-
(1995)
Bull. Sci. Math.
, vol.119
, Issue.2
, pp. 147-156
-
-
Bertoin, J.1
-
7
-
-
0015735756
-
Limit theorems in fluctuation theory
-
Bingham N.H. Limit theorems in fluctuation theory. Adv. Appl. Probab. 5:1973;554-569.
-
(1973)
Adv. Appl. Probab.
, vol.5
, pp. 554-569
-
-
Bingham, N.H.1
-
9
-
-
0001404201
-
Regularity properties of Schrödinger and Dirichlet semigroups
-
Carmona R. Regularity properties of Schrödinger and Dirichlet semigroups, J. Funct. Anal. 33(3,):1979;259-296.
-
(1979)
J. Funct. Anal.
, vol.33
, Issue.3
, pp. 259-296
-
-
Carmona, R.1
-
10
-
-
0007773356
-
A probabilistic approach to the equilibrium problem in potential theory
-
Chung K.L. A probabilistic approach to the equilibrium problem in potential theory. Ann. Inst. Fourier. 23:1973;313-322.
-
(1973)
Ann. Inst. Fourier
, vol.23
, pp. 313-322
-
-
Chung, K.L.1
-
12
-
-
84968478877
-
First passage times and sojourn density for Brownian motion in space and the exact Hausdorff measure of the sample path
-
Ciesielski Z., Taylor S.J. First passage times and sojourn density for Brownian motion in space and the exact Hausdorff measure of the sample path. Trans. Amer. Math. Soc. 103:1962;434-450.
-
(1962)
Trans. Amer. Math. Soc.
, vol.103
, pp. 434-450
-
-
Ciesielski, Z.1
Taylor, S.J.2
-
13
-
-
84968464335
-
On occupation times for Markoff processes
-
Darling D.A., Kac M. On occupation times for Markoff processes. Trans. Amer. Math. Soc. 84:1957;444-458.
-
(1957)
Trans. Amer. Math. Soc.
, vol.84
, pp. 444-458
-
-
Darling, D.A.1
Kac, M.2
-
15
-
-
0042011001
-
Infinitesimal operators of Markov processes
-
Dynkin E.B. Infinitesimal operators of Markov processes. Teor. Veroyatnost. i Primenen. 1:1956;38-60.
-
(1956)
Teor. Veroyatnost. I Primenen.
, vol.1
, pp. 38-60
-
-
Dynkin, E.B.1
-
16
-
-
0004188079
-
-
Springer, Berlin, Heidelberg, New York, Toronto (translated from the Russian edition of 1962)
-
Dynkin, E.B., 1965. Markov Processes, I,II. Springer, Berlin, Heidelberg, New York, Toronto (translated from the Russian edition of 1962).
-
(1965)
Markov Processes, I,II
-
-
Dynkin, E.B.1
-
17
-
-
0011547329
-
Local times and quantum fields
-
In: Huber, P., Rosenblatt, M. (Eds.), Birkhäuser, Basel
-
Dynkin, E.B., 1983. Local times and quantum fields. In: Huber, P., Rosenblatt, M. (Eds.), Seminar on Stochastic Processes. Birkhäuser, Basel, pp. 69-84.
-
(1983)
Seminar on Stochastic Processes
, pp. 69-84
-
-
Dynkin, E.B.1
-
18
-
-
0011364080
-
Markov processes as a tool in field theory
-
Dynkin E.B. Markov processes as a tool in field theory. J. Funct. Anal. 50:1983;167-187.
-
(1983)
J. Funct. Anal.
, vol.50
, pp. 167-187
-
-
Dynkin, E.B.1
-
19
-
-
0011321141
-
Gaussian and non-Gaussian random fields associated with Markov processes
-
Dynkin E.B. Gaussian and non-Gaussian random fields associated with Markov processes. J. Funct. Anal. 55:1984;344-376.
-
(1984)
J. Funct. Anal.
, vol.55
, pp. 344-376
-
-
Dynkin, E.B.1
-
20
-
-
0001915588
-
Polynomials of the occupation field and related random fields
-
Dynkin E.B. Polynomials of the occupation field and related random fields. J. Funct. Anal. 58:1984;20-52.
-
(1984)
J. Funct. Anal.
, vol.58
, pp. 20-52
-
-
Dynkin, E.B.1
-
21
-
-
34547361024
-
Space-time approach to nonrelativistic quantum mechanics
-
Feynman R.J. Space-time approach to nonrelativistic quantum mechanics. Rev. Mod. Phys. 20:1948;367-387.
-
(1948)
Rev. Mod. Phys.
, vol.20
, pp. 367-387
-
-
Feynman, R.J.1
-
22
-
-
0042511807
-
Harmonic morphisms and the resurrection of Markov processes
-
In: Barlow, M., Bingham, N. (Eds.), Cambridge University Press, Cambridge
-
Fitzsimmons, P.J., 1991. Harmonic morphisms and the resurrection of Markov processes. In: Barlow, M., Bingham, N. (Eds.), Stochastic Analysis, London Mathematical Society Lecture Note Series, vol. 167. Cambridge University Press, Cambridge, pp. 71-90.
-
(1991)
Stochastic Analysis, London Mathematical Society Lecture Note Series
, vol.167
, pp. 71-90
-
-
Fitzsimmons, P.J.1
-
23
-
-
0009216905
-
On the distribution of the Hilbert transform of the local time of a symmetric Lévy process
-
Fitzsimmons P.J., Getoor R.K. On the distribution of the Hilbert transform of the local time of a symmetric Lévy process. Ann. Probab. 20(3,):1992;1484-1497.
-
(1992)
Ann. Probab.
, vol.20
, Issue.3
, pp. 1484-1497
-
-
Fitzsimmons, P.J.1
Getoor, R.K.2
-
24
-
-
0003523792
-
-
Walter de Gruyter & Co., Berlin
-
Fukushima, M.,Ōshima, Y., Takedam, M., 1994. Dirichlet forms and symmetric Markov processes, vol. 19 of de Gruyter Studies in Mathematics. Walter de Gruyter & Co., Berlin.
-
(1994)
Dirichlet Forms and Symmetric Markov Processes, Vol. 19 of de Gruyter Studies in Mathematics
-
-
Fukushima, M.1
Oshima, Y.2
Takedam, M.3
-
25
-
-
0042511806
-
Last exit decompositions and distributions
-
Getoor R.K., Sharpe M.J. Last exit decompositions and distributions. Indiana Univ. Math. J. 23:1973;377-404.
-
(1973)
Indiana Univ. Math. J.
, vol.23
, pp. 377-404
-
-
Getoor, R.K.1
Sharpe, M.J.2
-
26
-
-
0041510028
-
Last exit times and additive functionals
-
Getoor R.K., Sharpe M.J. Last exit times and additive functionals. Ann. Probab. 1:1973;550-569.
-
(1973)
Ann. Probab.
, vol.1
, pp. 550-569
-
-
Getoor, R.K.1
Sharpe, M.J.2
-
27
-
-
0042010998
-
Energy and the maximum principle for nonsymmetric Hunt processes
-
Glover J. Energy and the maximum principle for nonsymmetric Hunt processes. Theory Probab. Appl. 26:1981;745-757.
-
(1981)
Theory Probab. Appl.
, vol.26
, pp. 745-757
-
-
Glover, J.1
-
28
-
-
0043012832
-
Representing last exit potentials as potentials of measures
-
Glover J. Representing last exit potentials as potentials of measures. Z. Wahrsch. Verw. Gebiete. 61:1982;17-30.
-
(1982)
Z. Wahrsch. Verw. Gebiete.
, vol.61
, pp. 17-30
-
-
Glover, J.1
-
31
-
-
0009153241
-
The Feynman-Kac formula and decomposition of Brownian paths
-
Jeanblanc, M., Pitman, J., Yor, M., 1997. The Feynman-Kac formula and decomposition of Brownian paths. Comput. Appl. Math. 16, 27-52.
-
(1997)
Comput. Appl. Math.
, vol.16
, pp. 27-52
-
-
Jeanblanc, M.1
Pitman, J.2
Yor, M.3
-
32
-
-
18444368761
-
On the distribution of certain Wiener functionals
-
Kac M. On the distribution of certain Wiener functionals. Trans. Amer. Math. Soc. 65:1949;1-13.
-
(1949)
Trans. Amer. Math. Soc.
, vol.65
, pp. 1-13
-
-
Kac, M.1
-
33
-
-
0003021436
-
On some connections between probability theory and differential and integral equations
-
In: Neyman, J. (Ed.), Univ. of California Press, Berkeley, CA
-
Kac, M., 1951. On some connections between probability theory and differential and integral equations. In: Neyman, J. (Ed.), Proc. 2nd Berkeley Symp. Math. Stat. Prob., Univ. of California Press, Berkeley, CA, pp. 189-215.
-
(1951)
Proc. 2nd Berkeley Symp. Math. Stat. Prob.
, pp. 189-215
-
-
Kac, M.1
-
36
-
-
70350246438
-
The appearance of a multivariate exponential distribution in sojurn times for birth-death and diffusion processes
-
In: Probability, Statistics and Analysis Cambridge University Press, Cambridge
-
Kent, J.T., 1983. The appearance of a multivariate exponential distribution in sojurn times for birth-death and diffusion processes. In: Probability, Statistics and Analysis. London Mathematical Society Lecture Notes. Cambridge University Press, Cambridge, pp. 161-179.
-
(1983)
London Mathematical Society Lecture Notes
, pp. 161-179
-
-
Kent, J.T.1
-
37
-
-
0040872077
-
The influence of Mark Kac on probability theory
-
Kesten H. The influence of Mark Kac on probability theory. Ann. Probab. 14:1986;1103-1128.
-
(1986)
Ann. Probab.
, vol.14
, pp. 1103-1128
-
-
Kesten, H.1
-
38
-
-
0000612703
-
On positive solutions of the equation au+vu=0
-
Khas'minskii R.Z. On positive solutions of the equation. au+vu=0 Theory Probab. Appl. 4:1959;309-318.
-
(1959)
Theory Probab. Appl.
, vol.4
, pp. 309-318
-
-
Khas'minskii, R.Z.1
-
39
-
-
0043012831
-
Markov transition probabilities. IV: Recurrence time distributions
-
Kingman J.F.C. Markov transition probabilities. IV: Recurrence time distributions. Z. Wahrsch. Verw. Gebiete. 11:1968;9-17.
-
(1968)
Z. Wahrsch. Verw. Gebiete
, vol.11
, pp. 9-17
-
-
Kingman, J.F.C.1
-
40
-
-
75249097989
-
Classes of multivariate exponential and multivariate geometric distributions derived from Markov processes
-
In: Sampson, A.R., Block, H.W., Savits, T.H. (Eds.), I. M. S.
-
Longford, N.T., 1991. Classes of multivariate exponential and multivariate geometric distributions derived from Markov processes. In: Sampson, A.R., Block, H.W., Savits, T.H. (Eds.), Topics in Statistical Dependence, vol. 16 of Lecture Notes-Monograph Series, I. M. S., pp. 359-369.
-
(1991)
Topics in Statistical Dependence, Vol. 16 of Lecture Notes-Monograph Series
, pp. 359-369
-
-
Longford, N.T.1
-
41
-
-
0000401255
-
Moduli of continuity of local times of strongly symmetric Markov processes via Gaussian processes
-
Marcus M.B., Rosen J. Moduli of continuity of local times of strongly symmetric Markov processes via Gaussian processes. J. Theoret. Probab. 5:1992;791-825.
-
(1992)
J. Theoret. Probab.
, vol.5
, pp. 791-825
-
-
Marcus, M.B.1
Rosen, J.2
-
42
-
-
0000390961
-
P -variation of the local times of symmetric stable processes and of Gaussian processes with stationary increments
-
Marcus M.B., Rosen J. p -variation of the local times of symmetric stable processes and of Gaussian processes with stationary increments Ann. Probab. 20:1992;1685-1713.
-
(1992)
Ann. Probab.
, vol.20
, pp. 1685-1713
-
-
Marcus, M.B.1
Rosen, J.2
-
43
-
-
0000292544
-
Sample path properties of the local times of strongly symmetric Markov processes via Gaussian processes
-
Marcus M.B., Rosen J. Sample path properties of the local times of strongly symmetric Markov processes via Gaussian processes. Ann. Probab. 20:1992;1603-1684.
-
(1992)
Ann. Probab.
, vol.20
, pp. 1603-1684
-
-
Marcus, M.B.1
Rosen, J.2
-
44
-
-
0010810967
-
Logarithmic averages for the local times of recurrent random walks and Lévy processes
-
Marcus M.B., Rosen J. Logarithmic averages for the local times of recurrent random walks and Lévy processes. Stoch. Proc. Appl. 59:1995;175-184.
-
(1995)
Stoch. Proc. Appl.
, vol.59
, pp. 175-184
-
-
Marcus, M.B.1
Rosen, J.2
-
45
-
-
0030371119
-
Gaussian chaos and sample path properties of additive functionals of symmetric Markov processes
-
Marcus M.B., Rosen J. Gaussian chaos and sample path properties of additive functionals of symmetric Markov processes. Ann. Probab. 24:1996;1130-1177.
-
(1996)
Ann. Probab.
, vol.24
, pp. 1130-1177
-
-
Marcus, M.B.1
Rosen, J.2
-
46
-
-
0040306512
-
Renaissance, recollements, mélanges, ralentissement de processus de Markov
-
Meyer P.A. Renaissance, recollements, mélanges, ralentissement de processus de Markov. Ann. Inst. Fourier Grenoble. 25:1975;465-497.
-
(1975)
Ann. Inst. Fourier Grenoble
, vol.25
, pp. 465-497
-
-
Meyer, P.A.1
-
47
-
-
0009202797
-
Birth and death of Markov processes
-
Meyer, P.A., Smythe, R.T., Walsh, J.B., 1972. Birth and death of Markov processes. Proc. 6th Berk. Symp. Math. Stat. Prob., vol. 3, pp. 295-305.
-
(1972)
Proc. 6th Berk. Symp. Math. Stat. Prob.
, vol.3
, pp. 295-305
-
-
Meyer, P.A.1
Smythe, R.T.2
Walsh, J.B.3
-
48
-
-
0016365809
-
The moments of stochastic integrals and the distribution of sojourn times
-
Nagylaki T. The moments of stochastic integrals and the distribution of sojourn times. Proc. Nat. Acad. Sci. USA. 71:1974;746-749.
-
(1974)
Proc. Nat. Acad. Sci. USA
, vol.71
, pp. 746-749
-
-
Nagylaki, T.1
-
49
-
-
0042511801
-
A spectral criterion for the finiteness or infiniteness of stopped Feynman-Kac functionals of diffusion processes
-
Pinsky R. A spectral criterion for the finiteness or infiniteness of stopped Feynman-Kac functionals of diffusion processes. Ann. Probab. 14:1986;1180-1187.
-
(1986)
Ann. Probab.
, vol.14
, pp. 1180-1187
-
-
Pinsky, R.1
-
50
-
-
0041117282
-
An identity for stopping times of a Markov process
-
Jerusalem Academic Press
-
Pitman, J., 1974. An identity for stopping times of a Markov process. In Studies in Probability and Statistics, Jerusalem Academic Press, pp. 41-57.
-
(1974)
In Studies in Probability and Statistics
, pp. 41-57
-
-
Pitman, J.1
-
51
-
-
0010899493
-
Occupation measures for Markov chains
-
Pitman J. Occupation measures for Markov chains. Adv. Appl. Probab. 9:1977;69-86.
-
(1977)
Adv. Appl. Probab.
, vol.9
, pp. 69-86
-
-
Pitman, J.1
-
52
-
-
0037770953
-
Lévy systems and path decompositions
-
Birkhäuser, Boston
-
Pitman, J., 1981. Lévy systems and path decompositions. Seminar on Stochastic Processes, 1981, Birkhäuser, Boston, pp. 79-110.
-
(1981)
Seminar on Stochastic Processes, 1981
, pp. 79-110
-
-
Pitman, J.1
-
53
-
-
0042011000
-
A method for studying the integral functionals of stochastic processes with applications. II: Sojourn time distributions for Markov chains
-
Puri P.S. A method for studying the integral functionals of stochastic processes with applications. II: Sojourn time distributions for Markov chains. Z. Wahrsch. Verw. Gebiete, 23:1972;85-96.
-
(1972)
Z. Wahrsch. Verw. Gebiete
, vol.23
, pp. 85-96
-
-
Puri, P.S.1
-
54
-
-
84972512714
-
Sojourn times of a diffusion process
-
Ray D.B. Sojourn times of a diffusion process. Ill. J. Math. 7:1963;615-630.
-
(1963)
Ill. J. Math.
, vol.7
, pp. 615-630
-
-
Ray, D.B.1
-
55
-
-
0003617670
-
-
Wiley, New York
-
Rogers, L.C.G., Williams, D., 1987. Diffusions, Markov Processes and Martingales, vol. II, Itô Calculus. Wiley, New York.
-
(1987)
Diffusions, Markov Processes and Martingales, Vol. II, Itô Calculus
-
-
Rogers, L.C.G.1
Williams, D.2
-
56
-
-
0003617670
-
-
Foundations, Wiley, New York
-
Rogers, L.C.G., Williams, D., 1994. Diffusions, Markov Processes and Martingales, 2nd ed., vol. I, Foundations, Wiley, New York.
-
(1994)
Diffusions, Markov Processes and Martingales, 2nd Ed.
, vol.1
-
-
Rogers, L.C.G.1
Williams, D.2
-
57
-
-
0042730804
-
Second order limit laws for the local times of stable processes
-
Springer, Berlin
-
Rosen, J., 1991. Second order limit laws for the local times of stable processes, Séminaire de Probabilités, XXV, Lecture Notes in Mathematics, vol. 1485. Springer, Berlin, pp. 407-424.
-
(1991)
Séminaire de Probabilités, XXV, Lecture Notes in Mathematics
, vol.1485
, pp. 407-424
-
-
Rosen, J.1
-
59
-
-
0043012830
-
Killing times for Markov processes
-
Sharpe M.J. Killing times for Markov processes. Z. Wahrsch. Verw. Gebiete. 58:1981;223-230.
-
(1981)
Z. Wahrsch. Verw. Gebiete
, vol.58
, pp. 223-230
-
-
Sharpe, M.J.1
-
60
-
-
84959812950
-
On the Ray-Knight Markov property of local times
-
Sheppard P. On the Ray-Knight Markov property of local times. J. London Math. Soc. 31:1985;377-384.
-
(1985)
J. London Math. Soc.
, vol.31
, pp. 377-384
-
-
Sheppard, P.1
-
62
-
-
85016600983
-
Schrödinger semigroups
-
Simon B. Schrödinger semigroups. Bull. A. M. S. 7:1982;447-526.
-
(1982)
Bull. A. M. S.
, vol.7
, pp. 447-526
-
-
Simon, B.1
-
64
-
-
84968476203
-
On local time for Markov chains
-
Williams D. On local time for Markov chains. Bull. A. M. S. 73:1967;432-433.
-
(1967)
Bull. A. M. S.
, vol.73
, pp. 432-433
-
-
Williams, D.1
-
65
-
-
0043012837
-
Fictitious states, coupled laws and local time
-
Williams D. Fictitious states, coupled laws and local time. Z. Wahrsch. Verw. Gebiete. 11:1969;288-310.
-
(1969)
Z. Wahrsch. Verw. Gebiete
, vol.11
, pp. 288-310
-
-
Williams, D.1
|