It is known that the Fatou set of the map defined on the punctured plane is empty. We consider the -set of consisting of all parameters for which the Fatou set of is empty. We prove that the -set of has infinite area. In particular, the Hausdorff dimension of the -set is 2. We also discuss the area of complement of the -set.
"The -set of has infinite area." Nagoya Math. J. 217 133 - 159, March 2015. https://doi.org/10.1215/00277630-2888085