This thesis is devoted to the study of two different problems: the properties of the disintegration of the Lebesgue measure on the faces of a convex function and the existence of smooth approximations of bi-Lipschitz orientation-preserving homeomorphisms in the plane.
Dimensional Reduction and Approximation of Measures and Weakly Differentiable Homeomorphisms
Daneri, Sara
2011-10-27
Abstract
This thesis is devoted to the study of two different problems: the properties of the disintegration of the Lebesgue measure on the faces of a convex function and the existence of smooth approximations of bi-Lipschitz orientation-preserving homeomorphisms in the plane.File in questo prodotto:
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1963_5348_TesiPhDDaneriFinal.pdf
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