On the (in)stability of the identity map in optimal transportation
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Date
2019-05-09
Publication Type
Journal Article
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yes
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Abstract
We collect some examples of optimal transports for quadratic cost in order to explore the
stability of the identity map as an optimal transport. First, we consider density and domain
perturbations near regular portions of domains. Second, we investigate density and domains
deformations to non-regular parts of domains. Here, we restrict our attention to two dimen sions and focus near 90◦ corners.
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published
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58 (3)
Pages / Article No.
96
Publisher
Springer
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Notes
It was possible to publish this article open access thanks to a Swiss National Licence with the publisher.