-
1
-
-
0000116008
-
Sobolev spaces over loop groups
-
AIDA, S. (1995). Sobolev spaces over loop groups. J. Funct. Anal. 127 155-172.
-
(1995)
J. Funct. Anal.
, vol.127
, pp. 155-172
-
-
Aida, S.1
-
2
-
-
0034311789
-
Equivalence of heat kernel measure and pinned Wiener measure on loop groups
-
AIDA, S. and DRIVER, B. K. (2000). Equivalence of heat kernel measure and pinned Wiener measure on loop groups. C. R. Acad. Sci. Paris Sér. I Math. 331 709-712.
-
(2000)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.331
, pp. 709-712
-
-
Aida, S.1
Driver, B.K.2
-
4
-
-
23044530070
-
On the small time asymptotics of diffusion processes on path groups
-
AIDA, S. and ZHANG, T. S. (2002). On the small time asymptotics of diffusion processes on path groups. Potential Anal. 16 67-78.
-
(2002)
Potential Anal.
, vol.16
, pp. 67-78
-
-
Aida, S.1
Zhang, T.S.2
-
5
-
-
0000920853
-
Logarithmic Sobolev inequalities and exponential integrability
-
AIDA, S. MASUDA, T. and SHIGEKAWA, I. (1994). Logarithmic Sobolev inequalities and exponential integrability. J. Fund. Anal. 126 83-101.
-
(1994)
J. Fund. Anal.
, vol.126
, pp. 83-101
-
-
Aida, S.1
Masuda, T.2
Shigekawa, I.3
-
10
-
-
0001683890
-
Explicit constants for Gaussian upper bounds on heat kernels
-
DAVIES, E. B. (1987). Explicit constants for Gaussian upper bounds on heat kernels. Amer.J. Math. 109 319-334.
-
(1987)
Amer.J. Math.
, vol.109
, pp. 319-334
-
-
Davies, E.B.1
-
12
-
-
0542412598
-
A Cameron-Martin type quasi-invariance theorem for pinned Brownian motion on a compact Riemannian manifold
-
DRIVER, B. K. (1994). A Cameron-Martin type quasi-invariance theorem for pinned Brownian motion on a compact Riemannian manifold. Trans. Amer. Math. Soc. 342 375-395.
-
(1994)
Trans. Amer. Math. Soc.
, vol.342
, pp. 375-395
-
-
Driver, B.K.1
-
13
-
-
0000515916
-
Integration by parts and quasi-invariance for heat kernel measures on loop groups
-
[Correction (1998) J. Funct. Anal. 155 297-301.]
-
DRIVER, B. K. (1997). Integration by parts and quasi-invariance for heat kernel measures on loop groups. J. Funct. Anal. 149 470-547. [Correction (1998) J. Funct. Anal. 155 297-301.]
-
(1997)
J. Funct. Anal.
, vol.149
, pp. 470-547
-
-
Driver, B.K.1
-
14
-
-
0035537289
-
Absolute continuity of heat kernel measure with pinned Wiener measure on loop groups
-
DRIVER, B. K. and SRIMURTHY, V. K. (2001). Absolute continuity of heat kernel measure with pinned Wiener measure on loop groups. Ann. Prob. 29 691-723.
-
(2001)
Ann. Prob.
, vol.29
, pp. 691-723
-
-
Driver, B.K.1
Srimurthy, V.K.2
-
16
-
-
0038609738
-
Rademacher's theorem for Wiener functional
-
ENCHEV, O. and STROOCK, D. W. (1993). Rademacher's theorem for Wiener functional. Ann. Probab. 21 25-33.
-
(1993)
Ann. Probab.
, vol.21
, pp. 25-33
-
-
Enchev, O.1
Stroock, D.W.2
-
17
-
-
0002231348
-
On the Ornstein-Uhlenbeck process
-
FANG, S. (1994). On the Ornstein-Uhlenbeck process. Stochastics Stochastics Rep. 46 141-159.
-
(1994)
Stochastics Stochastics Rep.
, vol.46
, pp. 141-159
-
-
Fang, S.1
-
18
-
-
0033173861
-
On the small time behavior of Ornstein-Uhlenbeck processes with unbounded linear drift
-
FANG, S. and ZHANG, T. S. (1999). On the small time behavior of Ornstein-Uhlenbeck processes with unbounded linear drift. Probab. Theory Related Fields 114 487-504.
-
(1999)
Probab. Theory Related Fields
, vol.114
, pp. 487-504
-
-
Fang, S.1
Zhang, T.S.2
-
19
-
-
0035591589
-
Large deviations for the Brownian motion on loop groups
-
FANG, S. and ZHANG, T. S. (2001). Large deviations for the Brownian motion on loop groups. J. Theoret. Probab. 14 463-483.
-
(2001)
J. Theoret. Probab.
, vol.14
, pp. 463-483
-
-
Fang, S.1
Zhang, T.S.2
-
20
-
-
0003523792
-
-
de Gruyter, Berlin
-
FUKUSHIMA, M., OSHIMA, Y. and TAKEDA, M. (1994). Dirichlet Forms and Symmetric Markov Processes, de Gruyter, Berlin.
-
(1994)
Dirichlet Forms and Symmetric Markov Processes
-
-
Fukushima, M.1
Oshima, Y.2
Takeda, M.3
-
21
-
-
0002530893
-
The conservation property of the heat equation on Riemannian manifolds
-
GAFFNEY, M. P. (1959). The conservation property of the heat equation on Riemannian manifolds. Comm. Pure Appl. Math. 12 1-11.
-
(1959)
Comm. Pure Appl. Math.
, vol.12
, pp. 1-11
-
-
Gaffney, M.P.1
-
22
-
-
0001625329
-
Logarithmic Sobolev inequalities on loop groups
-
GROSS, L. (1991). Logarithmic Sobolev inequalities on loop groups. J. Funct. Anal. 102 268-313.
-
(1991)
J. Funct. Anal.
, vol.102
, pp. 268-313
-
-
Gross, L.1
-
23
-
-
84972571707
-
Logarithmic Sobolev inequalities on Lie groups
-
GROSS, L. (1992). Logarithmic Sobolev inequalities on Lie groups. Illinois J. Math. 36 447-490.
-
(1992)
Illinois J. Math.
, vol.36
, pp. 447-490
-
-
Gross, L.1
-
24
-
-
0001572330
-
Uniqueness of ground states for Schrödinger operators over loop groups
-
GROSS, L. (1993). Uniqueness of ground states for Schrödinger operators over loop groups. J. Funct. Anal. 112 373-41.
-
(1993)
J. Funct. Anal.
, vol.112
, pp. 373-441
-
-
Gross, L.1
-
25
-
-
0036100621
-
On short time asymptotic behavior of some symmetric diffusions on general state spaces
-
HINO, M. (2002). On short time asymptotic behavior of some symmetric diffusions on general state spaces. Potential Anal. 16 249-264.
-
(2002)
Potential Anal.
, vol.16
, pp. 249-264
-
-
Hino, M.1
-
26
-
-
0001035720
-
Analysis on path and loop spaces
-
E. P. Hsu and S. R. S. Varadhan, eds. Amer. Math. Soc., Providence, RI
-
HSU, E. P. (1999). Analysis on path and loop spaces. In Probability Theory and Applications (E. P. Hsu and S. R. S. Varadhan, eds.) 277-347. Amer. Math. Soc., Providence, RI.
-
(1999)
Probability Theory and Applications
, pp. 277-347
-
-
Hsu, E.P.1
-
29
-
-
85008054100
-
Dirichlet forms on fractals and products of random matrices
-
KUSUOKA, S. (1989). Dirichlet forms on fractals and products of random matrices. Publ. Res. Inst. Math. Sci. 25 659-680.
-
(1989)
Publ. Res. Inst. Math. Sci.
, vol.25
, pp. 659-680
-
-
Kusuoka, S.1
-
31
-
-
0000071236
-
Integration on loop groups. I. Quasi invariant measures
-
MALLIAVIN, M.-P. and MALLIAVIN, P. (1990). Integration on loop groups. I. Quasi invariant measures. J. Funct. Anal. 93 207-237
-
(1990)
J. Funct. Anal.
, vol.93
, pp. 207-237
-
-
Malliavin, M.-P.1
Malliavin, P.2
-
33
-
-
0002351322
-
Heat kernel asymptotics and the distance function in Lipschitz Riemannian manifolds
-
NORRIS, J. R. (1997). Heat kernel asymptotics and the distance function in Lipschitz Riemannian manifolds. Acta Math. 179 79-103.
-
(1997)
Acta Math.
, vol.179
, pp. 79-103
-
-
Norris, J.R.1
-
34
-
-
0000842034
-
Estimates on the fundamental solution to heat flows with uniformly elliptic coefficients
-
NORRIS, J. R. and STROOCK, D. (1991). Estimates on the fundamental solution to heat flows with uniformly elliptic coefficients. Proc. London Math. Soc. (3) 62 373-02.
-
(1991)
Proc. London Math. Soc. (3)
, vol.62
, pp. 373-402
-
-
Norris, J.R.1
Stroock, D.2
-
36
-
-
0035580409
-
Short time asymptotics in Dirichlet spaces
-
RAMÍREZ, J. A. (2001). Short time asymptotics in Dirichlet spaces. Comm. Pure Appl. Math. 54 259-293.
-
(2001)
Comm. Pure Appl. Math.
, vol.54
, pp. 259-293
-
-
Ramírez, J.A.1
-
38
-
-
21344460008
-
Equivalence-singularity dichotomy for the Wiener measures on path groups and loop groups
-
SADASUE, G. (1995). Equivalence-singularity dichotomy for the Wiener measures on path groups and loop groups. J. Math. Kyoto Univ. 35 653-662.
-
(1995)
J. Math. Kyoto Univ.
, vol.35
, pp. 653-662
-
-
Sadasue, G.1
-
39
-
-
21344496789
-
Sobolev spaces of Banach-valued functions associated with a Markov process
-
SHIGEKAWA, I. (1994). Sobolev spaces of Banach-valued functions associated with a Markov process. Probab. Theory Related Fields 99 425-441.
-
(1994)
Probab. Theory Related Fields
, vol.99
, pp. 425-441
-
-
Shigekawa, I.1
-
40
-
-
0011331907
-
A quasihomeomorphism on the Wiener space
-
M. C. Cranston and M. A. Pinsk, eds. Amer. Math. Soc., Providence, RI
-
SHIGEKAWA, I. (1995). A quasihomeomorphism on the Wiener space. In Stochastic Analysis (M. C. Cranston and M. A. Pinsk, eds.) 473-486. Amer. Math. Soc., Providence, RI.
-
(1995)
Stochastic Analysis
, pp. 473-486
-
-
Shigekawa, I.1
-
41
-
-
0002020578
-
Ergodic semigroups of positivity preserving self-adjoint operators
-
SIMON, B. (1973). Ergodic semigroups of positivity preserving self-adjoint operators. J. Funct. Anal. 12 335-339.
-
(1973)
J. Funct. Anal.
, vol.12
, pp. 335-339
-
-
Simon, B.1
-
42
-
-
0034550292
-
On the equivalence of measures on loop space
-
SRIMURTHY, V. K. (2000). On the equivalence of measures on loop space. Probab. Theory Related Fields 118 522-546.
-
(2000)
Probab. Theory Related Fields
, vol.118
, pp. 522-546
-
-
Srimurthy, V.K.1
-
43
-
-
0040648543
-
An introduction to analysis on path space
-
E. P. Hsu and S. R. S. Varadhan, eds. Amer. Math. Soc., Providence, RI
-
STROOCK, D. W. (1999). An introduction to analysis on path space. In Probability Theory and Applications (E. P. Hsu and S. R. S. Varadhan, eds.) 227-276. Amer. Math. Soc., Providence, RI.
-
(1999)
Probability Theory and Applications
, pp. 227-276
-
-
Stroock, D.W.1
-
44
-
-
84981752303
-
On the behaviour of the fundamental solution of the heat equation with variable coefficients
-
VARADHAN, S. R. S. (1967). On the behaviour of the fundamental solution of the heat equation with variable coefficients. Comm. Pure Appl. Math. 20 431-455.
-
(1967)
Comm. Pure Appl. Math.
, vol.20
, pp. 431-455
-
-
Varadhan, S.R.S.1
-
45
-
-
0034345577
-
On the small time asymptotics of diffusion processes on Hubert spaces
-
ZHANG, T. S. (2000). On the small time asymptotics of diffusion processes on Hubert spaces. Ann. Probab. 28 537-557.
-
(2000)
Ann. Probab.
, vol.28
, pp. 537-557
-
-
Zhang, T.S.1
|