Thesis
Optimal transport and 1-Lipschitz maps
- Abstract:
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The main topic of this work is concerned with optimal transport approach to the localisation technique. The localisation technique allows to reduce a high-dimensional problem to a collection of one-dimensional problems. Significance of this approach is illustrated by its applications to Poincaré inequality, log-Sobolev inequality, isoperimetric inequality in the context of metric measure spaces satisfying the curvature-dimension condition. We investigate multi-dimensional generalisation of...
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(Preview, Dissemination version, pdf, 746.4KB, Terms of use)
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Authors
+ Engineering and Physical Sciences Research Council
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- Grant:
- EPSRC-St John’s College Scholarship 2016/17
+ EPSRC-St John’s College Scholarship
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- Grant:
- EPSRC-St John’s College Scholarship 2016/17
- DOI:
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
- Language:
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English
- Pubs id:
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2043238
- Local pid:
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pubs:2043238
- Deposit date:
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2020-12-03
- ARK identifier:
Terms of use
- Copyright holder:
- Ciosmak, K
- Copyright date:
- 2020
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