  In a recent paper, Melbourne and Terhesiu [Operator renewal theory and mixing
rates for dynamical systems with infinite measure, Invent. Math. 189 (2012),
61-110] obtained results on mixing and mixing rates for a large class of
noninvertible maps preserving an infinite ergodic invariant measure.
  Here, we are concerned with extending these results to the invertible
setting. Mixing is established for a large class of infinite measure invertible
maps. Assuming additional structure, in particular exponential contraction
along stable manifolds, it is possible to obtain good results on mixing rates
and higher order asymptotics.
