We focus on the exchange T of two intervals with an irrational slope α. For a general subinterval I of the domain of T, the first return time to I takes three values. We describe the structure of the set of return itineraries to I. In particular, we show that it is equal to {R<sub>1</sub>,R<sub>2</sub>,R<sub>1</sub>R<sub>2</sub>,Q} where <em>Q</em> is amicable with <em>R<sub>1</sub>, R<sub>2</sub></em> or <em>R<sub>1</sub>R<sub>2</sub></em>
For almost all interval exchange maps (i.e.m.) $T_0$, with combinatorics of genus $g > 2$, we constr...
In this paper, we study the periods of interval exchange transformations. First, we characterize the...
International audienceFor a class of d-interval exchange transformations, whichwe call the symmetric...
We focus on the exchange T of two intervals with an irrational slope α. For a general subinterval I ...
We focus on a generalization of the three gap theorem well known in the framework of exchange of two...
We consider the recurrence time to the r-neighbourhood for interval exchange maps. For almost every ...
We introduce a definition of admissibility for subintervals in interval exchange transformations. Us...
Abstract. Consider a long piece of trajectory x, T (x), T (T (x)),..., Tn−1(x) of an interval exchan...
Abstract. We prove the conjecture that an interval exchange transforma-tion on 3-intervals with corr...
Abstract. This paper gives a complete characterization of those sequences of subword complexity (k −...
Abstract. We discuss the asymptotic behaviour of the waiting time for some transformation on the int...
We define a Diophantine condition for interval-exchange transformations. When the number of interval...
We prove the conjecture that an interval exchange transformation on 3-intervals with corresponding p...
International audienceWe define a new induction algorithm for k-interval exchange transformations as...
International audienceA sharp bound on the number of invariant components of an interval exchange tr...
For almost all interval exchange maps (i.e.m.) $T_0$, with combinatorics of genus $g > 2$, we constr...
In this paper, we study the periods of interval exchange transformations. First, we characterize the...
International audienceFor a class of d-interval exchange transformations, whichwe call the symmetric...
We focus on the exchange T of two intervals with an irrational slope α. For a general subinterval I ...
We focus on a generalization of the three gap theorem well known in the framework of exchange of two...
We consider the recurrence time to the r-neighbourhood for interval exchange maps. For almost every ...
We introduce a definition of admissibility for subintervals in interval exchange transformations. Us...
Abstract. Consider a long piece of trajectory x, T (x), T (T (x)),..., Tn−1(x) of an interval exchan...
Abstract. We prove the conjecture that an interval exchange transforma-tion on 3-intervals with corr...
Abstract. This paper gives a complete characterization of those sequences of subword complexity (k −...
Abstract. We discuss the asymptotic behaviour of the waiting time for some transformation on the int...
We define a Diophantine condition for interval-exchange transformations. When the number of interval...
We prove the conjecture that an interval exchange transformation on 3-intervals with corresponding p...
International audienceWe define a new induction algorithm for k-interval exchange transformations as...
International audienceA sharp bound on the number of invariant components of an interval exchange tr...
For almost all interval exchange maps (i.e.m.) $T_0$, with combinatorics of genus $g > 2$, we constr...
In this paper, we study the periods of interval exchange transformations. First, we characterize the...
International audienceFor a class of d-interval exchange transformations, whichwe call the symmetric...