1 citations · 1 across the 5 of their papers we have counts for
6 papers
Bases which admit exactly two expansions
Yi Cai, Wenxia Li
For a positive integer let and \begin{align*} \mathcal B_2(m)=&\left \{q\in(1,m+1]: \text{ has exactly }\right. \\ &\left…
Derived deformation rings allowing congruences]{Derived deformation rings allowing congruences
Yichang Cai
We generalize a result of Galatius and Venkatesh which relates the graded module of cohomology of locally symmetric spaces to the graded homotopy ring of the derived Galois deforma…
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…
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…
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…
Intersections of Siepinski gasket with its translation
Yi Cai, Wenxia Li
Let be the Sierpinski gasket, i.e., the self-similar set generated by the IFS . In paper, we provide a desc…