Dualities, Measure Concentration and Transportation

Shiri Artstein-Avidan*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In these three lectures we shall review and discuss in detail the fascinating connection between duality transforms (mainly Legendre and polarity, but also those associated with other cost functions), measure transportation, cost sub-gradient mappings and concentration inequalities.

Original languageEnglish
Title of host publicationLecture Notes in Mathematics
PublisherSpringer Science and Business Media Deutschland GmbH
Pages159-231
Number of pages73
DOIs
StatePublished - 2023

Publication series

NameLecture Notes in Mathematics
Volume2332
ISSN (Print)0075-8434
ISSN (Electronic)1617-9692

Funding

FundersFunder number
Horizon 2020 Framework Programme770127
European Research Council
Israel Science Foundation784/20

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