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 {R1,R2,R1R2,Q} where Q is amicable with R1, R2 or R1R2
A natural generalization of interval exchange maps are linear involutions, first introduced by Danth...
Necessary and suffi cient conditions are given in order that an in terval excha.nge map satisfying K...
In this Thesis we investigate interval translation maps (ITMs) with, on the circle, two intervals, a...
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...
International audienceThis is a survey on the big questions about interval exchanges (minimality, un...
AbstractWe propose a method for obtaining the symbolic orbits of interval exchange transformations o...
Abstract. This paper gives a complete characterization of those sequences of subword complexity (k −...
A unified introduction to the dynamics of interval exchange maps and related topics, such as the geo...
International audienceFor a class of d-interval exchange transformations, whichwe call the symmetric...
In this paper, we study the periods of interval exchange transformations. First, we characterize the...
We consider the recurrence time to the r-neighbourhood for interval exchange maps. For almost every ...
Abstract. We consider iterates of maps of an interval to itself and their stable periodic orbits. Wh...
In this Thesis we investigate interval translation maps (ITMs) with, on the circle, two intervals, a...
In this article we study the first return map defined on the switch region induced by the greedy and...
A natural generalization of interval exchange maps are linear involutions, first introduced by Danth...
Necessary and suffi cient conditions are given in order that an in terval excha.nge map satisfying K...
In this Thesis we investigate interval translation maps (ITMs) with, on the circle, two intervals, a...
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...
International audienceThis is a survey on the big questions about interval exchanges (minimality, un...
AbstractWe propose a method for obtaining the symbolic orbits of interval exchange transformations o...
Abstract. This paper gives a complete characterization of those sequences of subword complexity (k −...
A unified introduction to the dynamics of interval exchange maps and related topics, such as the geo...
International audienceFor a class of d-interval exchange transformations, whichwe call the symmetric...
In this paper, we study the periods of interval exchange transformations. First, we characterize the...
We consider the recurrence time to the r-neighbourhood for interval exchange maps. For almost every ...
Abstract. We consider iterates of maps of an interval to itself and their stable periodic orbits. Wh...
In this Thesis we investigate interval translation maps (ITMs) with, on the circle, two intervals, a...
In this article we study the first return map defined on the switch region induced by the greedy and...
A natural generalization of interval exchange maps are linear involutions, first introduced by Danth...
Necessary and suffi cient conditions are given in order that an in terval excha.nge map satisfying K...
In this Thesis we investigate interval translation maps (ITMs) with, on the circle, two intervals, a...