English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The goal of the article is to improve constants in the infimum convolutioninequalities (IC for short) which were introduced by R. Lata{\l}a and J.O.Wojtaszczyk. We show that the exponential distribution satisfies IC withconstant $2$ but not with constant $1$, which implies that linear functions arenot extremal in Maurey's property $(\tau)$. Using transport of measure we usethis result to better constants in the IC inequalities for product symmetriclog-concave measures as well as in the Talagrand's two level concentrationinequality for the exponential distribution.

On the infimum convolution inequalities with improved constants