Proximality in Pisot tiling spaces
Marcy Barge, Beverly Diamond · Fundamenta Mathematicae · 2007
A substitution $\varphi$ is strong Pisot if its abelianization matrix is nonsingular and all eigenvalues except the Perron–Frobenius eigenvalue have modulus less than one. For strong Pisot $\varphi$ that satisfies a no cycle condition and for whic