6 papers · 1 filter
Speedups of linearly recurrent subshifts
Henk Bruin
A speedup, like a time change in discrete time dynamics, is a way of moving faster through the orbits of a dynamical system. Linearly recurrence is a stronger form of minimality fo…
Rigidity and Toeplitz systems
Henk Bruin, Olena Karpel, Piotr Oprocha +1
The aim of this paper is to study measure-theoretical rigidity and partial rigidity for classes of Cantor dynamical systems including Toeplitz systems and enumeration systems. We u…
On some aspects of local thermodynamical formalism
Andrzej Bis, Henk Bruin
In 2007, Ye \& Zhang introduced a version of local topological entropy. Since their entropy function is, as we show under mild conditions, constant for topologically transitive dyn…
Skew-product systems over infinite interval exchange transformations
Henk Bruin, Olga Lukina
We study the ergodic properties (recurrence, discrepancy, diffusion coefficients and ergodicity itself) of a class of -extensions over infinite interval exchange transfo…
Interval Translation Maps with Weakly Mixing Attractors
Henk Bruin, Silvia Radinger
We study linear recurrence and weak mixing of a two-parameter family of interval translation maps for the subset of parameter space where has a Cantor attractor…
Translation algorithms for graph covers
Jan Boroński, Henk Bruin, Przemysław Kucharski
Graph covers are a way to describe continuous maps (and homeomorphisms) of a Cantor set, more generally than e.g.\ Bratteli-Vershik systems. Every continuous map on a zero-dimensio…