27 citations · 62 across the 16 of their papers we have counts for
15 papers · 1 filter
Symbolic dynamics and the stable algebra of matrices
Mike Boyle, Scott Schmieding
We give an introduction to the "stable algebra of matrices" as related to certain problems in symbolic dynamics. We consider this stable algebra (especially, shift equivalence and…
The work of Mike Hochman on multidimensional symbolic dynamics and Borel dynamics
Mike Boyle
This paper is based on my April 2018 talk at the Maryland-Penn State dynamics conference, on the occasion of Mike Hochman receiving the Brin Prize.
The Mapping Class Group of a Shift of Finite Type
Mike Boyle, Sompong Chuysurichay
We study the mapping class group of a nontrivial irreducible shift of finite type: the group of flow equivalences of its mapping torus modulo isotopy. This group plays for flow equ…
Flow Equivalence of G-SFTs
Mike Boyle, Toke Meier Carlsen, Søren Eilers
In this paper, a G-shift of finite type (G-SFT) is a shift of finite type together with a free continuous shift-commuting action by a finite group G. We reduce the classification o…
Flow equivalence of sofic shifts
Mike Boyle, Toke Meier Carlsen, Søren Eilers
We classify certain sofic shifts (the irreducible Point Extension Type, or PET, sofic shifts) up to flow equivalence, using invariants of the canonical Fischer cover. There are two…
Flow equivalence and isotopy for subshifts
Mike Boyle, Toke Meier Carlsen, Søren Eilers
We study basic properties of flow equivalence on one-dimensional compact metric spaces with a particular emphasis on isotopy in the group of (self-) flow equivalences on such a spa…