  In this work, we investigate the presence of sub-diffusive behavior in the
Chirikov-Taylor Standard Map. We show that the stickiness phenomena, present in
the mixed phase space of the map setup, can be characterized as a Continuous
Time Random Walk model and connected to the theoretical background for
anomalous diffusion. Additionally, we choose a variant of the Ulam method to
numerically approximate the Perron-Frobenius operator for the map, allowing us
to calculate the anomalous diffusion exponent via an eigenvalue problem,
compared to the solution of the Fractional Diffusion Equation. The results here
corroborate other findings in the literature of anomalous transport in
Hamiltonian maps and can be suitable to describe transport properties of other
dynamical systems.
