2 citations · 3 across the 3 of their papers we have counts for
Showing math.DSShow all
3 papers · 1 filter
math.DS2008★ 2 cited
The Branch Locus for One-Dimensional Pisot Tiling Spaces
Marcy Barge, Beverly Diamond, Richard Swanson
If phi is a Pisot substitution of degree d, then the inflation and substitution homeomorphism Phi on the tiling space T_Phi factors via geometric realization onto a d-dimensional s…
math.DS2007
Cohomology in one-dimensional substitution tiling spaces
Marcy Barge, Beverly Diamond
Anderson and Putnam showed that the cohomology of a substitution tiling space may be computed by collaring tiles to obtain a substitution which ``forces its border.'' One can then…
math.DS2005★ 1 cited
Proximality in Pisot Tiling Spaces
Marcy Barge, Beverly Diamond
A substitution $\vp$ is strong Pisot if its abelianization matrix is non-singular and all eigenvalues except the Perron-Frobenius eigenvalue have modulus less than one. For strong…