  In this paper, we study scalar multivariate non-stationary subdivision
schemes with integer dilation matrix M=mI, m >=2, and present a general
approach for checking their convergence and for determining their H\"older
regularity. The combination of the concepts of asymptotic similarity and
approximate sum rules allows us to link stationary and non-stationary settings
and to employ recent advances in methods for exact computation of the joint
spectral radius. As an application, we prove a recent conjecture on the
H\"older regularity of the generalized Daubechies wavelets. We illustrate our
results with several examples.
