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 ...
The convergence of non-Hermitian physics and topological photonics has opened exciting research directions in recent years, ...
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 ...
Two-dimensional hyperbolic topological pumping can emulate eight-dimensional quantum Hall physics, transcending conventional dimensional constraints. Furthermore, hyperbolic pumping trajectories are ...
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 ...