No Finite Invariant Density for Misiurewicz Exponential Maps
Dynamical Systems
2008-01-04 v1
Abstract
For exponential mappings such that the orbit of the only singular value 0 is bounded, it is shown that no integrable density invariant under the dynamics exists on the complex plane.
Cite
@article{arxiv.0801.0585,
title = {No Finite Invariant Density for Misiurewicz Exponential Maps},
author = {Janina Kotus and Grzegorz Swiatek},
journal= {arXiv preprint arXiv:0801.0585},
year = {2008}
}