Preprints
|
Heat Equation Derivative Formulas for Vector Bundles |
Absolute Continuity of Heat Kernel Measure with Pinned Wiener Measure on Loop groups
(Joint with Vikram Srimurthy) The Annals of probability, 2001, Vol 29, No.
2, 691-273. |
Equivalence of heat kernel measure and pinned Wiener measure on loop
groups (Joint with Shigeki Aida) C. R. Acad. Sci.
Paris S\'er. I Math. {\bf 331} (2000), no.~9, 709--712 | |
The energy representation has no non-zero fixed vectors | |
Logarithmic
Sobolev Inequalities for Pinned Loop Groups | |
The
Lie Bracket of Adapted Vector Fields on Wiener Spaces | |
HILBERT
SPACES OF HOLOMORPHIC FUNCTIONS ON COMPLEX LIE GROUPS (Joint
with L. Gross. in {\it New trends in stochastic analysis (Charingworth, 1994)},
76--106, World Sci. Publishing, River Edge, NJ, 1997 | |
Integration
by Parts and Quasi-Invariance for Heat Kernel | |
Finite
dimensional approximations to Wiener measure and path integral formulas
on manifolds | |
Yang-Mills
Theory and the Segal-Bargmann Transform |
AMS - Meeting Talk at LSU, March 15, 2003: Slides from the talk and for a more detail expository paper see, IHP02.
| |
LOOP
SPACE, CURVATURE, AND QUASI-INVARIANCE (Centro Vito Volterra Lecture Notes, Universita Degli Studi Di Roma II, October 1992.) | |
A
Primer on Riemannian Geometry and Stochastic Analysis on Path Spaces (Lecture notes of talks given at the ETH (Zurich, Switzerland) in February of 1995.) | |
Analysis on loop groups. Notes for the talk given for the Conference on " Stochastic Analysis and Harmonic Analysis," June 26-30, 2000 at Northwestern University, Evanston, IL 60208. Get either the PDF version or the DVI version. |
Topology and Geometry
seminar, given 11/15/1999: PDF version and DVI
version. | |
Topology and Geometry seminars, given 4/11/2000 : PDF version and DVI version. These are notes on Woodhouse's book on geometric quantization. |
The work found here has been in part supported by :
DMS 9101720 | |
DMS 9223177 | |
DMS 9612651 | |
DMS 9971036. |
11/26/2018 10:37 AM |