Subicular neurons encode concave and convex geometries
Sign Up to like & getrecommendations! Published in 2024 at "Nature"
DOI: 10.1038/s41586-024-07139-z
Abstract: Animals in the natural world constantly encounter geometrically complex landscapes. Successful navigation requires that they understand geometric features of these landscapes, including boundaries, landmarks, corners and curved areas, all of which collectively define the geometry… read more here.
Keywords: neurons encode; subicular neurons; corner cells; convex geometries ... See more keywords
Convex geometries yielded by transit functions
Sign Up to like & getrecommendations! Published in 2024 at "Opuscula Mathematica"
DOI: 10.7494/opmath.2025.45.4.423
Abstract: Let \(V\) be a finite nonempty set. A transit function is a map \(R:V\times V\rightarrow 2^V\) such that \(R(u,u)=\{u\}\), \(R(u,v)=R(v,u)\) and \(u\in R(u,v)\) holds for every \(u,v\in V\). A set \(K\subseteq V\) is \(R\)-convex if… read more here.
Keywords: convex; transit; convex geometries; transit functions ... See more keywords