# Quasi-invariance for infinite-dimensional Kolmogorov diffusions

@inproceedings{Baudoin2021QuasiinvarianceFI, title={Quasi-invariance for infinite-dimensional Kolmogorov diffusions}, author={Fabrice Baudoin and Maria Gordina and Tai Melcher}, year={2021} }

Abstract. We prove Cameron-Martin type quasi-invariance results for the heat kernel measure of infinite-dimensional Kolmogorov and related diffusions. We first study quantitative functional inequalities for appropriate finite-dimensional approximations of these diffusions, and we prove these inequalities hold with dimension-independent coefficients. Applying an approach developed in [5, 10, 11], these uniform bounds may then be used to prove that the heat kernel measure for certain of these…

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