Completely mixing maps without limit measure
We combine some results from the literature to give examples of completely mixing interval maps without limit measure.
Correlation asymptotics from large deviations in dynamical systems with infinite measure
We extend a result of Doney [Probab. Theory Related Fields 107 (1997)] on renewal sequences with infinite mean to renewal sequences of operators. As a consequence, we get precise asymptotics for the transfer operator and for correlations in dynamical systems preserving an infinite measure (including intermittent maps with an arbitrarily neutral fixed point).