12 citations · 65 across the 36 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.DS2018
Yet another characterization of the Pisot substitution conjecture
Paul Mercat, Shigeki Akiyama
We give a sufficient geometric condition for a subshift to be measurably isomorphic to a domain exchange and to a translation on a torus. And for an irreducible unit Pisot substitu…
math.CA2018★ 2 cited
On the Hausdorff Dimension of Bernoulli Convolutions
Shigeki Akiyama, De-Jun Feng, Tom Kempton +1
We give an expression for the Garsia entropy of Bernoulli convolutions in terms of products of matrices. This gives an explicit rate of convergence of the Garsia entropy and shows…
math.GN2018★ 1 cited
Topology of planar self-affine tiles with collinear digit set
Shigeki Akiyama, Benoît Loridant, Jörg Thuswaldner
We consider the self-affine tiles with collinear digit set defined as follows. Let satisfy and be an integral matri…