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Integral estimates for approximations by incompressible deformations
- Policastro, Christopher
- Advisor(s): Rezakhanlou, Fraydoun
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Abstract
A quantitative Brenier decomposition shows that the deviation of a map from
volume preserving is bounded by the deviation of the derivative from volume pre-
serving. A study of the matrix nearness problem for SL(n) and Sp(2n) relates the
estimate to incompressible deformations of elastic materials.