13 citations · 45 across the 19 of their papers we have counts for
6 papers · 1 filter
Tiling Spaces have aspherical shape
Scott Schmieding
Going beyond the cohomological invariants attached to tiling spaces via inverse limit constructions, Clark and Hunton introduced shape group invariants, and showed these invariants…
Self affine Delone sets and deviation phenomena
Scott Schmieding, Rodrigo Treviño
We study the growth of norms of ergodic integrals for the translation action on spaces coming from expansive, self-affine Delone sets. The linear map giving the self-affinity induc…
Explicit Examples in
Scott Schmieding
For certain rings , we construct explicit matrices representing nonzero classes in the algebraic theory group .
Finite group extensions of shifts of finite type: K-theory, Parry and Livšic
Mike Boyle, Scott Schmieding
This paper extends and applies algebraic invariants and constructions for mixing finite group extensions of shifts of finite type. For a finite abelian group G, Parry showed how to…
Strong shift equivalence and the generalized spectral conjecture for nonnegative matrices
Mike Boyle, Scott Schmieding
We show that the weak and strong forms of the Generalized Spectral Conjecture (GSC) of Boyle and Handelman are equivalent. The GSC asserts that well understood necessary spectral c…
Strong shift equivalence and algebraic K-theory
Mike Boyle, Scott Schmieding
Let R be a ring. Let SSE-R be the equivalence relation on square matrices (allowed to have different size) over R generated by A ~ B if there exist matrices U,V over R such that A…