22 citations · 23 across the 4 of their papers we have counts for
5 papers
Some observations on Käenmäki measures
Ian D. Morris
In this note we investigate some properties of equilibrium states of affine iterated function systems, sometimes known as Käenmäki measures. We give a simple sufficient condition f…
An explicit formula for the pressure of box-like affine iterated function systems
Ian D. Morris
In this article we investigate the pressure function and affinity dimension for iterated function systems associated to the "box-like" self-affine fractals investigated by D.-J. Fe…
A short proof that the number of division steps in the Euclidean algorithm is normally distributed
Ian D. Morris
D. Hensley showed in 1994 that the number of steps taken by the Euclidean algorithm to find the greatest common divisor of two natural numbers less than or equal to n follows a nor…
A note on configurations in sets of positive density which occur at all large scales
Ian D. Morris
Furstenberg, Katznelson and Weiss proved in the early 1980s that every measurable subset of the plane with positive density at infinity has the property that all sufficiently large…
The generalized Berger-Wang formula and the spectral radius of linear cocycles
Ian D. Morris
Using multiplicative ergodic theory we prove two formulae describing the relationships between different joint spectral radii for sets of bounded linear operators acting on a Banac…