在本篇論文中，我們研究矩陣值勢能在sofic 系統上的譜維度。考慮跟有限座標有關的正矩陣值勢能，透過建構quasi-Bernoulli測度得到譜維度，而且利用有限逼近的方法，我們可以把結論推廣到跟無限座標有關的矩陣值勢能的情況上。最後，我們給一個可以確切算出譜維度的例子。 We study the dimension spectrum of sofic system with the potential which is matrix-valued. For positive and finite-coordinate dependent matrix potential, we set up the dimension spectrum by constructing the quasi-Bernoulli measure and the cut-off method is applied to deal with the infinite-coordinate dependent case. Finally, we give an example which we can compute the spectrum concretely.
