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In this paper, we study the non-self-dual extended Harper's model with aLiouville frequency. Based on the work of \cite{SY}, we show that theintegrated density of states (IDS for short) of the model is$\frac{1}{2}$-H$\ddot{\text{o}}$lder continuous. As an application, we alsoobtain the Carleson homogeneity of the spectrum.

H\"older continuity of the integrated density of states for Extended Harper's Model with Liouville frequency