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The study of certain union $X(\mu, b)$ of affine Deligne-Lusztig varieties inthe affine flag varieties arose from the study of Shimura varieties withIwahori level structure. In this paper, we give an explicit formula of $\dimX(\mu, b)$ for sufficiently large dominant coweight $\mu$.

Dimension formula of the affine Deligne-Lusztig variety $X(\mu, b)$