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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study holomorphic fixed point germs in two complex variables that aretangent to the identity and have a degenerate characteristic direction. We showthat if that characteristic direction is also a characteristic direction forhigher degree terms, is non-degenerate for a higher degree term, and satisfiessome additional properties, then there is a domain of attraction on whichpoints converge to the origin along that direction.

Domain of attraction for maps tangent to the identity in $\mathbb{C}^2$ with characteristic direction of higher degree