78 citations · 87 across the 5 of their papers we have counts for
7 papers
On the CLT for rotations and BV functions
Jean-Pierre Conze, Stéphane Le Borgne
Let be a rotation on the circle and let be a step function. We denote by the corresponding ergodic sums . Under an assum…
Limit directions of a vector cocycle, remarks and examples
Jean-Pierre Conze, Stéphane Le Borgne
We study the set of limit directions of a vector cocycle over a dynamical system, i.e., the set of limit values of along subsequences suc…
On the stability of planar randomly switched systems
Michel Benaïm, Stéphane Le Borgne, Florent Malrieu +1
Consider the random process (Xt) solution of dXt/dt = A(It) Xt where (It) is a Markov process on {0,1} and A0 and A1 are real Hurwitz matrices on R2. Assuming that there exists lam…
Qualitative properties of certain piecewise deterministic Markov processes
Michel Benaïm, Stéphane Le Borgne, Florent Malrieu +1
We study a class of Piecewise Deterministic Markov Processes with state space Rd x E where E is a finite set. The continuous component evolves according to a smooth vector field th…
Quantitative ergodicity for some switched dynamical systems
Michel Benaïm, Stéphane Le Borgne, Florent Malrieu +1
We provide quantitative bounds for the long time behavior of a class of Piecewise Deterministic Markov Processes with state space Rd \times E where E is a finite set. The continuou…
Central limit theorem for products of toral automorphisms
Jean-Pierre Conze, Stéphane Le Borgne, Mikaël Roger
Let be a sequence of toral automorphisms $τ_n : x \rightarrow A_n x \hbox{mod}\ZZ^d$ with , where is a finite set of matrices in $SL(d, \mathbb…