Measure transport on Wiener space and the Girsanov theorem

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How researchers see this paper

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Representation formula for the entropy and functional inequalities (2010, background): “Fair enough, Feyel and Üstünel [13] have a very similar argument.”
Transportation cost-information inequalities and applications to random dynamical systems and diffusions (2004, methodology): “We learned very recently (10 monthes after our first version) from Fang that the method of Girsanov transformation here has been used by Feyel and Ustunel [ 5 ] in a less elementary manner.”
Gradient flows with metric and differentiable structures, and applications to the Wasserstein space (2004, background): “In the case when m 1 vanishes on any Gaussian null set (in the case X4R this condition is equivalent to the absolute continuity of m 1 with respect to L) we can say much more thanks to the following theorem, due in the finite dimensional case to Knott-Smith and Brenier (see also [12] for an analogou”
Transportation inequalities for stochastic differential equations driven by a fractional Brownian motion (2012, methodology): “This method also appears in [10] and was well known for a long time.”
Gradient Flows: In Metric Spaces and in the Space of Probability Measures (2005, background): “10) an existence result in the case when X is a separable Hilbert space (compare with the result [67, 68] in Wiener spaces, where the cost function c(x, y) is finite only when x−y is in the Cameron-Martin space).”