Hausdorff dimension of invariant \(C\)-vector of \(M\)-matrix and self-affine fractal (Q1769518)

The authors study a class of self-affine sets in connection with the \(M\)-matrix theory. In Theorem 4.1. can be found a general method to determine the net \(M\)-matrix and in \S 5 is given an example of a plane self-affine set (with overlaps). Next, the lower and upper boundaries of this self-affine set are calculated numerically according to Kenyon and Peres' formulas. Finally its Hausdorff dimension is estimated .