There is a need for more skilful medium-term rainfall forecasts for the Bowen Basin, a key coal-mining region in Queensland, Australia. Prolonged heavy rainfall during the 2010–2011 summer was not forecasted and it severely affected industry operations. Official forecasts are currently based on general circulation models (GCMs) and indicate there will be change in the timing and strength of the...

We show that there are no partially hyperbolic horseshoes with positive Lebesgue measure for diffeomorphisms whose class of differentiability is higher than 1. This generalizes a classical result by Bowen for uniformly hyperbolic horseshoes.