Lipschitz changes of variables via heat flow

Joe Neeman

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arXiv · 2201.03403

Lipschitz changes of variables via heat flow

Joe Neeman

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Abstract

We extend Caffarelli's contraction theorem, by proving that there exists a Lipschitz changes of variables between the Gaussian measure and certain perturbations of it. Our approach is based on an argument due to Kim and Milman, in which the changes of variables are constructed using a heat flow.

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Joe Neeman. 2022-01-10. Lipschitz changes of variables via heat flow. https://arxiv.org/abs/2201.03403

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