An S-adic expansion of an infinite word is a way of writing it as the limit of an infinite product
of substitutions (ie, morphisms of a free monoid). Such a description is related to continued …

Various problems of geometry, topology and dynamical systems on surfaces as well as
some questions concerning one-dimensional dynamical systems lead to the study of closed …

This collaborative volume presents recent trends arising from the fruitful interaction between
the themes of combinatorics on words, automata and formal language theory, and number …

We study the dynamics of the Teichmüller flow in the moduli space of Abelian differentials
(and more generally, its restriction to any connected component of a stratum). We show that …

Weak Mixing for Interval Exchange Transformations and Translation Flows Page 1 Annals of
Mathematics, 165 (2007), 637-664 Weak mixing for interval exchange transformations and …

Abstract top A unified introduction to the dynamics of interval exchange maps and related
topics, such as the geometry of translation surfaces, renormalization operators, and …

Abstract We prove the Zorich–Kontsevich conjecture that the non-trivial Lyapunov exponents
of the Teichmüller ow on (any connected component of a stratum of) the moduli space of …

This text is an expanded version of the lecture notes of a minicourse (with the same title of
this text) delivered by the authors in the Bedlewo school" Modern Dynamics and its …

Let T be a 2-dimensional torus equipped with a flat Riemannian metric and a vector field
which is unitary and parallel for that metric. Then there exists a unique lattice Λ⊂ R2 such …

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 …