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# Maria Gordina : Gaussian type analysis on infinite-dimensional Heisenberg groups

This is a joint work with B.Driver. The groups in question are modeled on an abstract Wiener space. Then a group Brownian motion is defined, and its properties are studied in connection with the geometry of this group. The main results include quasi-invariance of the heat kernel measure, log Sobolev inequality (following a bound on the Ricci curvature), and the Taylor isomorphism to the corresponding Fock space. The latter is a version of the Ito-Wiener expansion in the non-commutative setting.

**Category**: Probability**Duration**: 01:34:42**Date**: November 6, 2008 at 4:10 PM-
**Tags:**seminar, Probability Seminar

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