40 citations · 122 across the 31 of their papers we have counts for
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math.DS2011
Billiard complexity in the hypercube
Nicolas Bedaride, Pascal Hubert
We consider the billiard map in the hypercube of . We obtain a language by coding the billiard map by the faces of the hypercube. We investigate the complexity functi…
math.DS2011★ 2 cited
Diffusion for the periodic wind-tree model
Vincent Delecroix, Pascal Hubert, Samuel Lelièvre
The periodic wind-tree model is an infinite billiard in the plane with identical rectangular scatterers disposed at each integer point. We prove that independently of the size of t…
math.DS2011★ 21 cited
Deviation of ergodic averages for substitution dynamical systems with eigenvalues of modulus one
Xavier Bressaud, Alexander I. Bufetov, Pascal Hubert
Deviation of ergodic sums is studied for substitution dynamical systems with a matrix that admits eigenvalues of modulus 1. We consider the corresponding eigenfunctions, and in The…