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Integral estimates for approximations by incompressible deformations

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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.

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This item is under embargo until November 30, 2025.