Topological dynamics is a field that investigates the qualitative behaviour of dynamical systems on topological spaces, with particular interest in properties such as recurrence, transitivity, and ...

Higher-order topological dynamics combines higher-order interactions, topology and non-linear dynamics giving rise to new emergent phenomena. These phenomena encode information which can dramatically ...

In the past decades, the discovery of the topological quantum phase has revolutionized the understanding of the fundamental phases of quantum matter. The classification of the topological quantum ...

Proceedings of the American Mathematical Society, Vol. 147, No. 8 (AUGUST 2019), pp. 3413-3424 (12 pages) We explain how dynamical systems with generating partitions are symbolically expansive, namely ...

Light that twists as it travels and materials whose internal order is knotted like a pretzel are starting to collide in the ...

Given ℬ ⊂ ℕ, let 𝜂 = 𝜂ℬ ∈ {0, 1}ℤ be the characteristic function of the set ℱℬ ≔ ℤ\𝑈𝑏∈ℬ 𝑏ℤ of ℬ-free numbers. The ℬ-free shift (𝑋𝜂, 𝑆), its hereditary closure (X˜η, 𝑆), and (still larger) the ...