30 citations · 73 across the 9 of their papers we have counts for
6 papers · 1 filter
Everything is illuminated
Samuel Lelievre, Thierry Monteil, Barak Weiss
We study geometrical properties of translation surfaces: the finite blocking property, bounded blocking property, and illumination properties. These are elementary properties which…
Quasiperiodic infinite words : multi-scale case and dynamical properties
Thierry Monteil, Solomon Marcus
An infinite word x is said to be quasiperiodic if there exists a finite word q such that x is covered by occurrences of q (such a q is called a quasiperiod of x). Using the notion…
A homological condition for a dynamical and illuminatory classification of torus branched coverings
Thierry Monteil
We prove that, for translation surfaces whose homology is generated by the periodic orbits, the notions of - finite blocking property - pure periodicity - torus branched covering a…
A counter-example to the theorem of Hiemer and Snurnikov
Thierry Monteil
A planar polygonal billiard is said to have the finite blocking property if for every pair of points in there exists a finite number of ``blocking'' points $B_1, ..…
On the finite blocking property
Thierry Monteil
A planar polygonal billiard is said to have the finite blocking property if for every pair of points in there exists a finite number of ``blocking'' points $B_1, ..…
Finite blocking property versus pure periodicity
Thierry Monteil
A translation surface S is said to have the finite blocking property if for every pair (O,A) of points in S there exists a finite number of "blocking" points B_1,...,B_n such that…