61 citations · 117 across the 30 of their papers we have counts for
42 papers
A variational principle relating self-affine measures to self-affine sets
Ian D. Morris, Cagri Sert
A breakthrough result of Bárány, Hochman and Rapaport published in 2019 established that every self-affine measure on satisfying certain mild non-degeneracy conditio…
An irreducible linear switching system whose unique Barabanov norm is not strictly convex
Ian D. Morris
We construct a marginally stable linear switching system in continuous time, in four dimensions and with three switching states, which is exponentially stable with respect to const…
A stability dichotomy for discrete-time linear switching systems in dimension two
Ian D. Morris
We prove that for every discrete-time linear switching system in two complex variables and with finitely many switching states, either the system is Lyapunov stable or there exists…
A note on the marginal instability rates of two-dimensional linear cocycles
Ian D. Morris, Jonah Varney
A theorem of Guglielmi and Zennaro implies that if the uniform norm growth of a locally constant GL(2,R)-cocycle on the full shift is not exponential then it must be either bounded…
On marginal growth rates of matrix products
Jonah Varney, Ian D. Morris
In this article we consider the maximum possible growth rate of sequences of long products of matrices all of which are drawn from some specified compact set which has…
On dense intermingling of exact overlaps and the open set condition
Ian D. Morris
We prove that certain families of homogenous affine iterated function systems in have the property that the open set condition and the existence of exact overlaps bo…