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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Recurrence problems are fundamental in dynamics, and for example, sizes ofthe set of points recurring infinitely often to a target have been studiedextensively in many contexts. For example, the problem for shrinking target seton iterated function system is an active research area. In the current work, weconsider a set with a finer recurrence quality, the eventually always hittingset. In a sense, the points in the intersection of an eventually always hittingset and a shrinking target set not only return infinitely often but also at abounded rate. We study this set in the context of self-conformal iteratedfunction systems, and compute upper and lower bounds for its Hausdorffdimension. Additionally, as an intermediate theorem, we obtain a Hausdorffdimension result for the intersection of eventually always hitting andshrinking target sets.

Hausdorff dimension of the set of eventually always hitting points on a self-conformal set