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An algorithm is given for computing the Hausdor dimension of the set(s) = (;D) of real numbers with representations x = P1 n=1 dn n, where each dn 2 D, a nite set of \digits", and >0 is a Pisot number. The Hausdor dimension is shown to be log= log ,w hereis the top eigenvalue of a nite 0-1 matrix A, and a simple algorithm for generating A from the data ;D is given.

𝛽-expansions with deleted digits for Pisot numbers 𝛽