Topological complexity is a central concept that bridges the abstract methodologies of algebraic topology with the practical challenges of robot motion planning. It provides a numerical invariant that ...

This is a preview. Log in through your library . Abstract The Lusternik-Schnirelmann category and topological complexity are important invariants of manifolds (and more generally, topological spaces).

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 ...

Topology in optics and photonics has been a hot topic since 1890 where singularities in electromagnetic fields have been considered. The recent award of the Nobel prize for topology developments in ...

The reliability of data storage and writing speed in advanced magnetic devices depend on drastic, complex changes in microscopic magnetic domain structures. However, it is extremely challenging to ...

There’s a long held view that chunks play a crucial role in artificial grammar learning performance. We compared chunk strength influences on performance, in high and low topological entropy (a ...

A study led by Professor Ginestra Bianconi from Queen Mary University of London, in collaboration with international researchers, has unveiled a transformative framework for understanding complex ...