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math.NT2020
Simplicial Galois Deformation Functors
Yichang Cai, Jacques Tilouine
In a recent work of Galatius and Venkatesh, the authors showed the importance of studying simplicial generalizations of Galois deformation functors. They established a precise link…
math.NT2020
Hausdorff distance of univoque sets
Yi Cai, Vilmos Komornik
Expansions in non-integer bases have been investigated abundantly since their introduction by Rényi. It was discovered by Erdős et al. that the sets of numbers with a unique expans…
math.NT2020
Difference of Cantor sets and frequencies in Thue--Morse type sequences
Yi Cai, Vilmos Komornik
In a recent paper, Baker and Kong have studied the Hausdorff dimension of the intersection of Cantor sets with their translations. We extend their results to more general Cantor se…