Canons rythmiques et pavages modulaires

Abstract : This thesis is a contribution to the study of modulo p tiling. Many mathematical and computational tools were used for the study of rhythmic tiling canons. Recent research has mainly focused in finding tiling without inner periodicity, being called Vuza canons. Those canons are a constructive basis for all rhythmic tiling canons, however, they are really difficult to obtain. Best current method is a brut force exploration that, despite a few recent enhancements, is exponential. Many technics have been used, hoping to understand Vuza canons better or to generate them faster. Hence, this thesis presents a completely new way to study aperiodic tiling.
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Hélianthe Caure. Canons rythmiques et pavages modulaires. Algorithme et structure de données [cs.DS]. Université Pierre et Marie Curie - Paris VI, 2016. Français. ⟨NNT : 2016PA066126⟩. ⟨tel-01338353v2⟩

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