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 study Nivat's conjecture on algebraic subshifts and prove that in some ofthem every low complexity configuration is periodic. This is the case in theLedrappier subshift (the 3-dot system) and, more generally, in alltwo-dimensional algebraic subshifts over $\mathbb{F}_p$ defined by a polynomialwithout line polynomial factors in more than one direction. We also find analgebraic subshift that is defined by a product of two line polynomials thathas this property (the 4-dot system) and another one that does not.

Nivat's Conjecture and Pattern Complexity in Algebraic Subshifts