Publications
- A
quasi-invariance theorem for measures on Banach spaces.
Trans.
Amer. Math. Soc. 290 (1985) 851-855.
- On the relationship between
differentiability and absolute continuity of measures on Rn.
Prob. Theor. Rel. Fields. 72
(1986)
417-424.
- On
the equivalence of absolute continuity and quasi-translation
invariance for Borel measures on an LCA group.
Math. Proc. Cam. Phil. Soc. 101
(1987) 279-281.
- The Malliavin Calculus.
Pitman Monographs and Surveys in Pure and Applied Mathematics, Vol. 34 .
Longman, Essex; Wiley, NY, 1987.
- On
the solution of stochastic differential equations via small delays (with S. Mohammed).
Stochastics 28 (1989) 293-299.
- Transformations
of measure on
infinite-dimensional vector space.
Seminar
on Stochastic Processes, 1990, 15-25.
Birkhäuser, Boston, 1991.
- The
Malliavin calculus and stochastic delay equations (with S. Mohammed). J. Funct. Anal.
99 (1991) 75-99.
- A calcium model with random
absorption: a stochastic approach
(with P. Sen and D. Mohr).
J. Theor. Biol. 154
(1992) 485-493.
- On
the limitations of a well-known integration technique.
Math. Mag. 66 (1993)
243-244.
- Hypoelliptic parabolic operators with
exponential degeneracies
(with S. Mohammed).
C. R. Acad. Sci. Paris 317
(1993) 1059-1064.
- Degenerate
stochastic differential equations,
flows, and hypoellipticity
(with S. Mohammed). Proc.
Symposia Pure
Math. 57, 553-564.
American Mathematical
Society, Providence RI, 1995.
- An
extension of Hormander's
theorem for infinitely degenerate second-order operators (with
S. Mohammed).
Duke Math J. 78, no. 3
(1995) 453-475.
- Smooth
densities for degenerate stochastic
differential equations with hereditary drift
(with S. Mohammed). Ann.
Prob. 23,
no. 4 (1995) 1875-1894.
- Degenerate Stochastic
Differential Equations and Hypoellipticity. Pitman
Monographs and Surveys in Pure and Applied Mathematics, Vol. 79.
Longman, Essex, 1995.
- The Dirichlet
problem for
superdegenerate differential operators (with S. Mohammed).
C. R. Acad. Sci. Paris 327
(1998)
81-86.
- Review
of Stochastic Analysis
by Paul Malliavin. Ann.
Prob. 30,
no. 1 (2002) 474-479.
- Stochastic
differential equations and
hypoelliptic operators. Real and Stochastic Analysis,
9 - 42, Trends. Math., Birkhauser, Boston MA, 2004.
- Divergence
theorems in path space. J.
Funct. Anal. 218, no.
1 (2005) 130-149.
- A model for the interaction of
two chemicals (with P. Sen). J. Theor. Biol. 238
(2006), 652-656.
- Divergence
theorems in path space II: degenerate diffusions. C.
R. Acad. Sci. Paris, Ser.
I 342
(2006) 869-872.
- Admissible
vector
fields and quasi-invariant measures. Appendix to The
Malliavin Calculus, Second Edition.
Dover
Publishing, Mineola, NY, 2006.
- Quasi-invariant
measures on the path space of a diffusion. C.
R. Acad. Sci. Paris, Ser.
I 343
(2006) 197-200.
- The
Gauss-Bonnet theorem for vector bundles. J.
Geom. 85 no.
1-2 (2006) 15-21.
- Divergence theorems in path space III:
hypoelliptic diffusions and beyond. J. Funct. Anal. 252, no. 1 (2007) 232 - 253.