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 define generalized Collatz mappings on free abelian groups of finite rankand study their iteration trajectories. Using geometric arguments we describecones of points having a divergent trajectory and we deduce lower bounds forthe density of the set of divergent points. As an application we give exampleswhich show that the iteration of generalized Collatz mappings on rings ofalgebraic integers can behave quite differently from the conjectured behaviorin $Z$.

A geometric approach to divergent points of higher dimensional Collatz mappings