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Given any $x\\in[0, (\\beta-1)^{-1}]$, a sequence $(a_n)\\in\\{0,1\\}^{\\mathbb{N}}$ is called a $\\beta$-expansion of $x$ if $x=\\sum_{n=1}^{\\infty}a_n\\beta^{-n}.$ For any $k\\geq 1$ and any $(b_1b_2\\cdots b_k)\\in\\{0,1\\}^{k}$, if there exists some $k_0$ such that $a_{k_0+1}a_{k_0+2}\\cdots a_{k_0+k}=b_1b_2\\cdots b_k$, then we call $(a_n)$ a universal $\\beta$-expansion of $x$.\n  Sidorov \\cite{Sidorov2003}, Dajani and de Vries \\cite{DajaniDeVrie} proved that given any $1<\\beta<2$, then Lebesgue almost every point has uncountably many universal expansions. 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