Recognizability for sequences of morphisms Page 1 Ergod. Th. & Dynam. Sys. (2019), 39,
2896–2931 doi:10.1017/etds.2017.144 c Cambridge University Press, 2018 Recognizability for …

Symbolic dynamics is essential in the study of dynamical systems of various types and is
connected to many other fields such as stochastic processes, ergodic theory, representation …

Dimension groups are complete invariants of strong orbit equivalence for minimal Cantor
systems. This paper studies a natural family of minimal Cantor systems having a finitely …

Abstract for substitution systems and translation flows, a new cocycle, which we call the
spectral cocycle, is introduced, whose Lyapunov exponents govern the local dimension of …

The paper is devoted to generic translation flows corresponding to Abelian differentials on
flat surfaces of arbitrary genus g⩾ 2. These flows are weakly mixing by the Avila-Forni …

Given a positive integer N and x∈[0, 1]∖ Q, an N-continued fraction expansion of x is
defined analogously to the classical continued fraction expansion, but with the numerators …

At the beginning of the 80s, H. Masur and W. Veech started the study of generic properties of
interval exchange transformations (IETs) proving that almost every such transformation is …

Multidimensional continued fractions and symbolic codings of toral translations Page 1 ©
2022 European Mathematical Society Published by EMS Press and licensed under a CC BY …

The paper is devoted to generic translation flows corresponding to Abelian differentials with
one zero of order two on flat surfaces of genus two. These flows are weakly mixing by the …

We prove results about subshifts with linear (word) complexity, meaning that $\limsup\frac {p
(n)}{n}<\infty $, where for every n, $ p (n) $ is the number of n-letter words appearing in …