1 citations · 1 across the 1 of their papers we have counts for
2 papers
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…
math.GT1999
Homeomorphisms of One-dimensional Inverse Limits with Applications to Substitution Tilings, Unstable Manifolds, and Tent Maps
Marcy Barge, James Jacklitch, Gioia Vago
Suppose that f and g are Markov surjections, each defined on a wedge of circles, each fixing the branch point and having the branch point as the only critical value. We show that i…