7 citations · 14 across the 10 of their papers we have counts for
11 papers · 1 filter
Typical Weak Mixing and Exceptional Spectral Properties for Interval Translation Mappings
Mauro Artigiani, Artur Avila, Sébastien Ferenczi +2
We investigate weak mixing for some classes of interval translation mappings. We give two distinct proofs that a typical Bruin-Troubetzkoy interval translation mapping is weakly mi…
Clustering and Arnoux-Rauzy words
Sébastien Ferenczi, Luca Q. Zamboni
We characterize the clustering of a word under the Burrows-Wheeler transform in terms of the resolution of a bounded number of bispecial factors belonging to the language generated…
Languages of general interval exchange transformations
Sébastien Ferenczi, Pascal Hubert, Luca Q. Zamboni
The languages generated by interval exchange transformations have been characterized by Ferenczi-Zamboni (2008) and Belov-Cernyatev (2010) under some extra conditions on the system…
Minimality and unique ergodicity of Veech 1969 type interval exchange transformations
Sébastien Ferenczi, Pascal Hubert
We give conditions for minimality of extensions of a rotation of angle with one marked point, solving the problem for any prime : for , these cor…
Rigidity of generalized Veech 1969/Sataev 1975 extensions of rotations
Sébastien Ferenczi, Pasacal Hubert
We look at -point extensions of a rotation of angle with marked points, generalizing the examples of Veech 1969 and Sataev 1975, together with the square-tiled interval…
Arnoux-Rauzy interval exchange transformations
Pierre Arnoux, Julien Cassaigne, Sébastien Ferenczi +1
The Arnoux-Rauzy systems are defined in \cite{ar}, both as symbolic systems on three letters and exchanges of six intervals on the circle. In connection with a conjecture of S.P. N…