  For a dominant rational self-map on a smooth projective variety defined over
a number field, Shu Kawaguchi and Joseph H. Silverman conjectured that the
dynamical degree is equal to the arithmetic degree at a rational point whose
forward orbit is well-defined and Zariski dense. We give some examples of
self-maps on product varieties and rational points on them for which the
Kawaguchi-Silverman conjecture holds.
