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Dimensional Reduction and Approximation of Measures and Weakly Differentiable Homeomorphisms

Candidate: 
Sara Daneri
Supervisor: 
Prof.S.Bianchini
Prof. A.Pratelli
Academic Year: 
2010-2011
Research Group: 
Mathematical Analysis, Modelling, and Applications
Present Position: 
Assistant Professor
FAU, Erlangen
Publication Related to the Thesis: 

  • L. Caravenna and S. Daneri, The disintegration of the Lebesgue measure on the faces of a convex function, J. Funct. Anal. 258 (2010), 3604-3661.

  • S. Daneri and A. Pratelli, Smooth approximation of bi-Lipschitz orientation- preserving homeomorphisms, preprint (2011). [http://arxiv.org/abs/1106.1192]

  • S. Daneri and A. Pratelli, A planar bi-Lipschitz extension Theorem, preprint (2011). [http://arxiv.org/abs/1110.6124] 

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