%0 Journal Article %T Analytic connectivity of $k$-uniform hypergraphs %A An Chang %A Joshua Cooper %A Wei Li %J Mathematics %D 2015 %I arXiv %X In this paper, we study the analytic connectivity of a $k$-uniform hypergraph $H$, denoted by $\alpha(H)$. In addition to computing the analytic connectivity of a complete $k$-graph, we present several bounds on analytic connectivity that relate it with other graph invariants, such as degree, vertex connectivity, diameter, and isoperimetric number. %U http://arxiv.org/abs/1507.02763v1