Smoothness of Laws
Divergence of differentiable flow — Divergence as the adjoint operator of a derivation — Non-degenerate maps and their covariance matrices — Lifting up vector fields through a non-degenerate map — Pushing down divergences — Hölder regularity under D 2 ∞−0 hypothesis — Smoothness under D∞ hypothesis — Lifting up and pushing down through a non-degenerate D∞ map — Inverse image of a distribution — Absolute continuity of scalar functionals under D 1 1 hypothesis — Appendix: Computation of derivatives by means of divergence operators — Law of a weakly non degenerated map.
KeywordsVector Field Lebesgue Measure Conditional Expectation Inverse Image Absolute Continuity
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