4 papers · 1 filter
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…
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…
A necessary and sufficient condition for a matrix equilibrium state to be mixing
Ian D. Morris
Since the 1970s there has been a rich theory of equilibrium states over shift spaces associated to Hölder-continuous real-valued potentials. The construction of equilibrium states…
A rigorous version of R. P. Brent's model for the binary Euclidean algorithm
Ian D. Morris
The binary Euclidean algorithm is a modification of the classical Euclidean algorithm for computation of greatest common divisors which avoids ordinary integer division in favour o…