论文标题
典型的自我诉讼套件，内部非空内部
Typical self-affine sets with non-empty interior
论文作者
论文摘要
令$ t_1，\ ldots，t_m $为$ d \ times d $ denterbilible的家族，带有$ \ | t_i \ | | <1/2 $ for $ 1 \ leq i \ leq m $。我们在这些矩阵上提供了一些足够的条件，使得由迭代函数系统$ \ {t_ix+a_i \} _ {i = 1}^m $ on $ \ bbb r^d $在$ \ bbb r^d $上产生的自携带设置，几乎所有$（a_1，\ ldots，a_m a _m）\ in \ bb bb bb in \ bb bb r^r^r^r^r^r^r^r^r^r^r^r^r.
Let $T_1,\ldots, T_m$ be a family of $d\times d$ invertible real matrices with $\|T_i\| <1/2$ for $1\leq i\leq m$. We provide some sufficient conditions on these matrices such that the self-affine set generated by the iterated function system $\{T_ix+a_i\}_{i=1}^m$ on $\Bbb R^d$ has non-empty interior for almost all $(a_1,\ldots, a_m)\in \Bbb R^{md}$.
