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edit approved Mar 12, 2014 at 15:19

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Lipschitz continuous maps from $R^n$$\mathbb R^n$ to $R^n$$\mathbb R^n$ that preserve Gaussian measure?

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asked Mar 11, 2014 at 13:59

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Lipschitz continuous maps from $R^n$ to $R^n$ that preserve Gaussian measure?

The only ones I can think of are linear maps like rotations and permutations. Is there a more general characterization?

pr.probability real-analysis probability-distributions gaussian