Let
$$R=\varrho I_{n}$$
and
$$\mathcal {D}=\left\{ \textbf{0},\textbf{e}_{1},\ldots ,\textbf{e}_{n}\right\} $$
, where
$$\varrho >1$$
and
$$\textbf{e}_{i}$$
is the i-th coordinate vector in
$$\mathbb {R}^n$$
. The spectral properties of the
$$n-$$
dimensional Sierpinski measure
$$\mu _{R,\mathcal {D}}$$
has been studied over two decades. In this paper, a special type of spectrum called a typical spectrum for
$$\mu _{R,\mathcal {D}}$$
is considered. We show that
$$\varrho \in (n+1)\mathbb {N}$$
is...
