53 citations · 235 across the 32 of their papers we have counts for
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math.DS2015★ 4 cited
Some monoids of Pisot matrices
Artur Avila, Vincent Delecroix
We show that several monoids of non-negative integer matrices enjoy a Pisot property: each matrix in that monoid has only one eigenvalue with absolute value larger than one. These…
math.DS2015★ 6 cited
Cries and whispers in wind-tree forests
Vincent Delecroix, Anton Zorich
We study billiard in the plane endowed with symmetric $\mathbb{Z}^2$-periodic obstacles of a right-angled polygonal shape. One of our main interests is the dependence of the diff…