Ian Morris paper appears in Proceedings of the London Mathematical Society

1.coverThe paper of Ian Morris, co-authored with Jairo Bochi (Rio de Janiero), on “Continuity properties of the lower spectral radius“, has appeared in the Proceedings of the London Mathematical Society.  A link to the paper is here.  The lower spectral radius, or joint spectral subradius, of a set of real d×d matrices is defined to be the smallest possible exponential growth rate of long products of matrices drawn from that set. In this paper the authors apply some ideas originating in the study of dominated splittings of linear cocycles over a dynamical system to characterize the points of continuity of the lower spectral radius on the set of all compact sets of invertible d×d matrices.