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Freezing phase transition for the Thue-Morse subshift
Nicolas Bédaride, Julien Cassaigne, Pascal Hubert +1
On the full shift on two symbols, we consider the potential defined by where denotes the longest common prefix between the infinite word and an element…
Linear Flows on Translation Prisms
Jayadev S. Athreya, Nicolas Bédaride, W. Patrick Hooper +1
Motivated by the study of billiards in polyhedra, we study linear flows in a family of singular flat -manifolds which we call translation prisms. Using ideas of Furstenberg and…
Complexity for billiards in regular N-gons
Jayadev Athreya, Pascal Hubert, Serge Troubetzkoy
We compute the complexity of the billiard language of the regular Euclidean -gons (and other families of rational lattice polygons), answering a question posed by Cassaigne-Hube…