In this paper we present an extendible, block gluing Z shift of finite type W el in which the topological entropy equals the L-projectional entropy for a two-dimensional sublattice L ( Z, even so Wâ€¦ (More)

For d â‰¥ 2, we use results of Hochman and Meyerovitch to construct examples of Zd shifts of finite type of entropy log N , N âˆˆ N, which cannot factor topologically onto the Zd Bernoulli shift on Nâ€¦ (More)

For d â‰¥ 2 we exhibit mixing Z shifts of finite type and sofic shifts with large entropy but poorly separated subsystems (in the sofic examples, the only minimal subsystem is a single point). Theseâ€¦ (More)

In [9], Hochman and Meyerovitch gave a complete characterization of the set of topological entropies of Zd shifts of finite type (SFTs) via a recursion-theoretic criterion. However, the Zd SFTs theyâ€¦ (More)

We study the algebraic properties of automorphism groups of two-sided, transitive, countable state Markov shifts together with the dynamics of those groups on the shiftspace itself as well as onâ€¦ (More)

We develop a natural matrix formalism for state splittings and amalgamations of higher-dimensional subshifts of finite type which extends the common notion of strong shift equivalence of Z+-matrices.â€¦ (More)

In this paper, a group shift is an expansive action of Zd on a compact metrizable zero dimensional group by continuous automorphisms. All group shifts factor topologically onto equal-entropyâ€¦ (More)

Motivated by Hochmanâ€™s notion of subdynamics of a Z subshift [8], we define and examine the projective subdynamics of Z shifts of finite type (SFTs) where we restrict not only the action but also theâ€¦ (More)

Realization of d-dimensional effective subshifts as projective sub-actions of d + dâ€²-dimensional sofic subshifts for dâ€² â‰¥ 1 is now well known [6, 4, 2]. In this paper we are interested in qualitativeâ€¦ (More)