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

We show that every $\mathbb{R}^d$-valued Sobolev path with regularity$\alpha$ and integrability $p$ can be lifted to a Sobolev rough path provided$\alpha < 1/p<1/3$. The novelty of our approach is its use of ideas underlyingHairer's reconstruction theorem generalized to a framework allowing for Sobolevmodels and Sobolev modelled distributions. Moreover, we show that thecorresponding lifting map is locally Lipschitz continuous with respect to theinhomogeneous Sobolev metric.

A Sobolev rough path extension theorem via regularity structures