  In this paper, we consider a subshift of finite type with Markov measure. By
considering a union of cylinders as holes, we investigate the exponential
growth rate of measure of points whose orbits do not escape into the hole over
a fixed number of iterations. We present two formulations for this escape rate:
one based on the spectral radius of the Hadamard product of a related adjacency
matrix and the stochastic matrix with respect to which the Markov measure is
defined, and the other utilizing a recurrence relation. These formulations
enable a comparative analysis of escape rates into distinct holes.
